Петросян Леон Аганесович — различия между версиями
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{{Персона | {{Персона | ||
| name-ru-main = Петросян Леон Аганесович | | name-ru-main = Петросян Леон Аганесович | ||
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| name-ru-03 = | | name-ru-03 = | ||
| name-lat = | | name-lat = | ||
− | | name-en = | + | | name-en = Leon H. Petrosjan |
− | | name-am = | + | | name-am = Լեոն Հովհաննեսի Պետրոսյան |
| name-fr = | | name-fr = | ||
− | | состояние текста = | + | | состояние текста = 7 |
− | | состояние поиска = | + | | состояние поиска = 7 |
− | | состояние тэгов = | + | | состояние тэгов = 7 |
− | | состояние ссылок = | + | | состояние ссылок = 7 |
− | | флаг чистовик = | + | | флаг чистовик = 7 |
| автокартинки = | | автокартинки = | ||
| портрет = Petrosjan.jpg | | портрет = Petrosjan.jpg | ||
− | | дата рождения = | + | | дата рождения = 18.12.1940 |
− | | место рождения = | + | | место рождения = Ленинград, Россия |
| дата смерти = | | дата смерти = | ||
− | | место смерти = | + | | место смерти = |
− | | краткая информация = Математик | + | | место деятельности = |
− | | тэг01 = | + | | краткая информация = Математик, специалист по теории управления, дифференциальным уравнениям и их приложениям |
− | | тэг02 = | + | | тэг01 = Орден Дружбы |
− | | тэг03 = | + | | тэг02 = Орден «За заслуги перед Отечеством» II степени |
+ | | тэг03 = Премия Р. Айзекса | ||
| тэг04 = | | тэг04 = | ||
| тэг05 = | | тэг05 = | ||
− | }} | + | }}{{Медали}} |
=Биография= | =Биография= | ||
− | + | Родился 18 декабря 1940 г. в Ленинграде. | |
+ | ==Образование== | ||
+ | *1957-1960, Ереванский государственный университет. Мат-Мех. | ||
+ | *1960-1962, Ленинградский государственный университет. Мат-Мех. | ||
+ | ===аспирантура=== | ||
+ | *1962-1965, Ленинградский государственный университет. Мат-Мех. | ||
+ | *защита кандидатской диссертации - 1965 [Об одном классе игр преследования] | ||
+ | *защита докторской диссертации - 1972 [Дифференциальные игры преследования] | ||
− | + | ==Область научных интересов== | |
− | + | Теория дифференциальных и динамических игр, теория управления. | |
− | + | ==Научная и педагогическая деятельность== | |
− | Петросян Леон Аганесович является видным ученым в области прикладной математики, известным специалистом по теории управления, дифференциальным уравнениям и их приложениям | + | Петросян Леон Аганесович является видным ученым в области прикладной математики, известным специалистом по теории управления, дифференциальным уравнениям и их приложениям. |
Им впервые построена математически корректная теория управления многокритериальными системами, основанная на регуляризации принципов оптимальности, обеспечивающих устойчивое во времени развитие сложной системы, описываемой дифференциальными уравнениями и общими динамическими системами. Эта теория содержит строгие постановки типичных задач, условия их регуляризации, способы построения искомых управлений; в ней изучены вопросы корректности и реализуемости найденных решений. Л.А.Петросяном впервые развита теория конфликтно-управляемых процессов с неполной информацией, не сводимых к процессам с полной информацией: обоснован метод выбора случайных управляющих воздействий и построены решения типичных классов задач с запаздыванием информации. | Им впервые построена математически корректная теория управления многокритериальными системами, основанная на регуляризации принципов оптимальности, обеспечивающих устойчивое во времени развитие сложной системы, описываемой дифференциальными уравнениями и общими динамическими системами. Эта теория содержит строгие постановки типичных задач, условия их регуляризации, способы построения искомых управлений; в ней изучены вопросы корректности и реализуемости найденных решений. Л.А.Петросяном впервые развита теория конфликтно-управляемых процессов с неполной информацией, не сводимых к процессам с полной информацией: обоснован метод выбора случайных управляющих воздействий и построены решения типичных классов задач с запаздыванием информации. | ||
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Одновременно Л. А. Петросян являлся руководителем работ по важнейшей тематике. Проведенные под его руководством работы доводились до реализации в специальных системах управления, в них предлагались способы управления в задачах поиска, преследования и перехвата подвижных объектов, оптимизация распределения капиталовложений по отраслям и направлениям деятельности, оптимальное поведение в задачах охраны окружающей среды. | Одновременно Л. А. Петросян являлся руководителем работ по важнейшей тематике. Проведенные под его руководством работы доводились до реализации в специальных системах управления, в них предлагались способы управления в задачах поиска, преследования и перехвата подвижных объектов, оптимизация распределения капиталовложений по отраслям и направлениям деятельности, оптимальное поведение в задачах охраны окружающей среды. | ||
− | Л. А. Петросян работает в СПбГУ с момента окончания аспирантуры в 1965 году, он ведет большую научно-организационную, педагогическую и общественную работу. С 1975 года и по настоящее время он первый избранный декан факультета ПМ-ПУ | + | Л. А. Петросян работает в СПбГУ с момента окончания аспирантуры в 1965 году, он ведет большую научно-организационную, педагогическую и общественную работу. С 1975 года и по настоящее время он первый избранный декан факультета ПМ-ПУ. |
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+ | В качестве председателя административного Совета УНЦ ПМ-ПУ руководит работой этого центра. | ||
+ | |||
+ | С 1987 года заведует кафедрой математической статистики, теории надежности и массового обслуживания. | ||
+ | |||
+ | ===Подготовка кадров высшей квалификации=== | ||
+ | Среди его учеников 7 докторов и 40 кандидатов наук. | ||
+ | |||
+ | С 1976 года является председателем двух специализированных Советов по присуждению ученой степени кандидата физико-математических и технических наук по вычислительной математике, математической кибернетике, вычислительным машинам, программированию и др. | ||
+ | ===Лекции и доклады=== | ||
+ | Л.А. Петросян приглашался для чтения лекций и докладов в Московский Государственный университет, Вильнюсский университет, Иркутский университет, Кемеровский университет, Якутский университет, Ташкентский университет, Ереванский университет. | ||
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+ | Кроме того, Л.А. Петросян в 1968, 1969 годах читал лекции по «Теории игр и исследованию операций» в Каирском и Асьютском университетах (Египет); в 1974, 1980 и 1983 годах читал курс лекций по теории игр в Гаванском университете, университете Сантьяго де Куба (Куба); в 1979 году - лекции в Гумбольдском и Дрезденском технических университетах (Германия); в 1988 году читал лекции в Загребском, Осьекском, Сараевском, Люблянском университетах и в университете города Сплит (Югославия); в 1990 году - в Калифорнийском университете и университете Пордью (США); в 1991, 1995, 1998 годах - в Токийском университете, университетах городов Осака, Кобэ, Хирасаки и Хиросима (Япония); в 1992 году - в Стокгольском университете и в Стокгольском техническом университете; в 1994, 1995, 1996, 1997 годах - в Гамбургском, Гейдельбергском университетах, Мюнхенском техническом университете и университете города Ульм; в 1994, 1997 годах - в Сеульском университете и университете города Тегу (Корея); в 1994, 1995, 1996, 1997 годах - в университете города Монреаль (Канада); в 1996 году - в университете города Сан-Паулу (Бразилия); в 1998 году - в техническом университете города Хайфа и Еврейском университете Иерусалима (Израиль); в 1998 году - в Кембриджском и Лондонском университетах (Великобритания); в 1999 году - в университете Мехико (Мексика) и университете Гонконг (Китай). | ||
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+ | ==Общественная и редакторская деятельность== | ||
+ | Член редколлегий ряда российских и международных научных журналов. | ||
+ | |||
+ | *Редактор (совместно с В.В. Мазаловым) международного ежегодника "Game Theory and Applications" (Nova Sci. Publ., New York, USA) | ||
+ | *Редактор международного журнала "International Game Theory Review" (World Sci. Publ., London, Singapore) | ||
+ | *Член президиума международного общества динамических игр | ||
+ | *Руководитель научных проектов по грантам РФФИ и международным грантам | ||
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==Список публикаций== | ==Список публикаций== | ||
− | *Petrosjan L. A. Semicooperative games. Vestnik St. Petersburg Univ. Math. 31 (1998), no. 2, 57-63 (1999). | + | Он автор более 140 научных работ (из них 17 монографий, три из которых переведены в США и Великобритании), среди них: |
− | *Petrosjan L. A. On constructing a unique by payoffs Nash equilibrium in a perfect-information game. Vestnik St. Petersburg Univ. Math. 32 (1999) | + | *Petrosjan L. A. Semicooperative games. Vestnik St. Petersburg Univ. Math. 31 (1998), no. 2, 57-63 (1999). |
− | *Petrosjan L. A. A unique Nash solution for the games with perfect information. Int. J. Math. Game Theory Algebra 10 (2000) | + | *Petrosjan L. A. On constructing a unique by payoffs Nash equilibrium in a perfect-information game. Vestnik St. Petersburg Univ. Math. 32 (1999) |
− | *Petrosjan L. A., Zaccour Georges A multistage supergame of downstream pollution. Advances in dynamic games and applications (Kanagawa, 1996), 387-403, Ann. Internat. Soc. Dynam. Games, 5, Birkhäuser Boston, Boston, MA, 2000. | + | *Petrosjan L. A. A unique Nash solution for the games with perfect information. Int. J. Math. Game Theory Algebra 10 (2000) |
− | *Petrosjan L. A. Issledovaniya po geometrii prostogo presledovaniya. (Russian) [Investigations in the geometry of simple pursuit] Edited by L. A. Petrosjan. Yakutsk. Gos. Univ., Yakutsk, 1991. 105 pp. ISBN: 5-230-20971-2 | + | *Petrosjan L. A., Zaccour Georges A multistage supergame of downstream pollution. Advances in dynamic games and applications (Kanagawa, 1996), 387-403, Ann. Internat. Soc. Dynam. Games, 5, Birkhäuser Boston, Boston, MA, 2000. |
− | *Petrosjan L. A. A unique Nash solution for the games with perfect information. Game theory and applications, IV, 121-129, Nova Sci. Publ., Commack, NY, 1998. | + | *Petrosjan L. A. Issledovaniya po geometrii prostogo presledovaniya. (Russian) [Investigations in the geometry of simple pursuit] Edited by L. A. Petrosjan. Yakutsk. Gos. Univ., Yakutsk, 1991. 105 pp. ISBN: 5-230-20971-2 |
− | *Petrosjan L. A. Game theory and applications. IV. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1998. vi+194 pp. ISBN: 1-56072-629-6 | + | *Petrosjan L. A. A unique Nash solution for the games with perfect information. Game theory and applications, IV, 121-129, Nova Sci. Publ., Commack, NY, 1998. |
− | *Petrosjan L. A. International year-book of game theory and applications. Vol. 1. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. VO ``Nauka'', Novosibirsk, 1993. 106 pp. ISBN 5-02-030665-7 | + | *Petrosjan L. A. Game theory and applications. IV. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1998. vi+194 pp. ISBN: 1-56072-629-6 |
− | *Petrosjan L. A., Ayoshin Dmitri A, Tanaka Tamaki Construction of a time consistent core in multichoice multistage games. Decision theory and related fields (Japanese) (Kyoto, 1997). S=urikaisekikenky=usho K=oky=uroku No. 1043 (1998), 198-206. | + | *Petrosjan L. A. International year-book of game theory and applications. Vol. 1. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. VO ``Nauka'', Novosibirsk, 1993. 106 pp. ISBN 5-02-030665-7 |
− | *Petrosjan L. A. Agreeable solutions in differential games. Int. J. Math. Game Theory Algebra 7 (1998), no. 2-3, 165-177. (Reviewer: H. Abou-Kandil) | + | *Petrosjan L. A., Ayoshin Dmitri A, Tanaka Tamaki Construction of a time consistent core in multichoice multistage games. Decision theory and related fields (Japanese) (Kyoto, 1997). S=urikaisekikenky=usho K=oky=uroku No. 1043 (1998), 198-206. |
− | *Petrosjan L. A., Zakharov V. V. Mathematical models in environmental policy analysis. Translated from the Russian by Y. M. Donets. Nova Science Publishers, Inc., Commack, NY, 1997. 246 pp. ISBN: 1-56072-515-X (Reviewer: Alexander Abakumov) | + | *Petrosjan L. A. Agreeable solutions in differential games. Int. J. Math. Game Theory Algebra 7 (1998), no. 2-3, 165-177. (Reviewer: H. Abou-Kandil) |
− | *Petrosjan L. A., Zenkevich N. A., Semina E. A. {Teoriya igr}. (Russian) [Game theory] "Vyssh. Shkola", Moscow; Knizhnyui Dom "Universitet", Moscow, 1998. 301 pp. ISBN: 5-06-001005-8; 5-8013-0007-4 | + | *Petrosjan L. A., Zakharov V. V. Mathematical models in environmental policy analysis. Translated from the Russian by Y. M. Donets. Nova Science Publishers, Inc., Commack, NY, 1997. 246 pp. ISBN: 1-56072-515-X (Reviewer: Alexander Abakumov) |
− | *Petrosjan L. A., Zakharov, V. V. Matematicheskie modeli v ekologii. (Russian) [Mathematical models in ecology] Izdatel'stvo Sankt-Peterburgskogo Universiteta, St. Petersburg, 1997. 254 pp. ISBN: 5-288-01527-9 (Reviewer: Alexander Abakumov) | + | *Petrosjan L. A., Zenkevich N. A., Semina E. A. {Teoriya igr}. (Russian) [Game theory] "Vyssh. Shkola", Moscow; Knizhnyui Dom "Universitet", Moscow, 1998. 301 pp. ISBN: 5-06-001005-8; 5-8013-0007-4 |
− | *Petrosjan L. A. Differential games of pursuit. Translated from the Russian by J. M. Donetz and the author. Series on Optimization, 2. World Scientific Publishing Co., Inc., River Edge, NJ, 1993. xx+325 pp. ISBN: 981-02-0979-7 | + | *Petrosjan L. A., Zakharov, V. V. Matematicheskie modeli v ekologii. (Russian) [Mathematical models in ecology] Izdatel'stvo Sankt-Peterburgskogo Universiteta, St. Petersburg, 1997. 254 pp. ISBN: 5-288-01527-9 (Reviewer: Alexander Abakumov) |
− | *Game theory and applications. III. Edited by L. A. Petrosjan and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1997. iv+225 pp. ISBN: 1-56072-496-X | + | *Petrosjan L. A. Differential games of pursuit. Translated from the Russian by J. M. Donetz and the author. Series on Optimization, 2. World Scientific Publishing Co., Inc., River Edge, NJ, 1993. xx+325 pp. ISBN: 981-02-0979-7 |
− | *Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Game theory and applications, 47-53, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Asen L. Dontchev) | + | *Game theory and applications. III. Edited by L. A. Petrosjan and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1997. iv+225 pp. ISBN: 1-56072-496-X |
− | *Petrosjan L. A. On new strongly dynamically stable optimality principles in cooperative differential games. (Russian) Trudy Mat. Inst. Steklov. 211 (1995), Optim. Upr. i Differ. Uravn., 370-376. (Reviewer: Anatolii F. Kleimenov) | + | *Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Game theory and applications, 47-53, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Asen L. Dontchev) |
− | *Petrosjan L. A., Tanaka Tamaki Multistage games with vector payoffs. Game theory and applications, II, 185-191, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Veijo Kaitala) | + | *Petrosjan L. A. On new strongly dynamically stable optimality principles in cooperative differential games. (Russian) Trudy Mat. Inst. Steklov. 211 (1995), Optim. Upr. i Differ. Uravn., 370-376. (Reviewer: Anatolii F. Kleimenov) |
− | *Filar Jerzy A., Petrosjan L. A. Integral and differential optimality principles in $n$-person differential games. Game theory and applications, 155-168, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Fausto Mignanego) | + | *Petrosjan L. A., Tanaka Tamaki Multistage games with vector payoffs. Game theory and applications, II, 185-191, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Veijo Kaitala) |
− | *Petrosjan L. A., Tanaka Tamaki Multistage games with vector payoffs. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 97-102. (Reviewer: H. Abou-Kandil) | + | *Filar Jerzy A., Petrosjan L. A. Integral and differential optimality principles in $n$-person differential games. Game theory and applications, 155-168, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Fausto Mignanego) |
− | *Game theory and applications. II. Edited by L. A. Petrosjan and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1996. iv+223 pp. ISBN: 1-56072-390-4 | + | *Petrosjan L. A., Tanaka Tamaki Multistage games with vector payoffs. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 97-102. (Reviewer: H. Abou-Kandil) |
− | *Petrosjan L. A., Zenkevich N. A. Game theory. With the assistance of Elena A. Semina. Translated from the Russian manuscript by J. M. Donetz. | + | *Game theory and applications. II. Edited by L. A. Petrosjan and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1996. iv+223 pp. ISBN: 1-56072-390-4 |
− | *Petrosjan L. A. The Shapley value for differential games. New trends in dynamic games and applications, 409-417, Ann. Internat. Soc. Dynam. Games, 3, Birkhauser Boston, Boston, MA, 1995. (Reviewer: Anatolii F. Kleimenov) | + | *Petrosjan L. A., Zenkevich N. A. Game theory. With the assistance of Elena A. Semina. Translated from the Russian manuscript by J. M. Donetz. |
− | *Game theory and applications. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1996. vi+211 pp. ISBN: 1-56072-266-5 90-06 | + | *Petrosjan L. A. The Shapley value for differential games. New trends in dynamic games and applications, 409-417, Ann. Internat. Soc. Dynam. Games, 3, Birkhauser Boston, Boston, MA, 1995. (Reviewer: Anatolii F. Kleimenov) |
− | *{Modelirovanie prirodnykh sistem i zadachi optimal'nogo upravleniya}. (Russian) [Modeling of natural systems and optimal control problems] Papers from the School "Mathematical Problems in Ecology" held in Chita. Edited by L. A. Petrosjan and V. V. *Mazalov. VO ``Nauka'', Novosibirsk, 1993. 96 pp. ISBN: 5-02-030207-4 93-06 (49N55 93A30) | + | *Game theory and applications. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1996. vi+211 pp. ISBN: 1-56072-266-5 90-06 |
− | *Petrosjan L. A. The regularization of NB-scheme in differential games. Dynam. Control 5 (1995), no. 1, 31-35. (Reviewer: E. G. Alcprime brekht) | + | *{Modelirovanie prirodnykh sistem i zadachi optimal'nogo upravleniya}. (Russian) [Modeling of natural systems and optimal control problems] Papers from the School "Mathematical Problems in Ecology" held in Chita. Edited by L. A. Petrosjan and V. V. *Mazalov. VO ``Nauka'', Novosibirsk, 1993. 96 pp. ISBN: 5-02-030207-4 93-06 (49N55 93A30) |
− | *Petrosjan L. A. Construction of strongly dynamically stable solutions in cooperative differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 2, 33-38, 114 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 2, 32-36 | + | *Petrosjan L. A. The regularization of NB-scheme in differential games. Dynam. Control 5 (1995), no. 1, 31-35. (Reviewer: E. G. Alcprime brekht) |
− | *Petrosjan L. A. The values of hierarchical differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 1,39-43, 117-118 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 1, 37-41 | + | *Petrosjan L. A. Construction of strongly dynamically stable solutions in cooperative differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 2, 33-38, 114 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 2, 32-36 |
− | *Petrosjan L. A. Strongly dynamically stable optimality principles in multicriterial optimal control problems. J. Comput. *Systems Sci. Internat. 32 (1994), no. 2, 146-150; translated from Izv. Ross. Akad. Nauk Tekhn. Kibernet. 1993, no. 1, 169-174 (Russian) (Reviewer: Zdzislaw Wyderka) | + | *Petrosjan L. A. The values of hierarchical differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 1,39-43, 117-118 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 1, 37-41 |
− | *Petrosjan L. A., Garnaev A.Yu. {Igry poiska}. (Russian) [Search games] St.-Peterbg. Gos. Univ., St. Petersburg, 1992. 217 pp. ISBN: 5-288-00482-X (Reviewer: M. S. Shtil'man) | + | *Petrosjan L. A. Strongly dynamically stable optimality principles in multicriterial optimal control problems. J. Comput. *Systems Sci. Internat. 32 (1994), no. 2, 146-150; translated from Izv. Ross. Akad. Nauk Tekhn. Kibernet. 1993, no. 1, 169-174 (Russian) (Reviewer: Zdzislaw Wyderka) |
− | *Petrosjan L. A. The time consistency of the optimality principles in nonzero sum differential games. Dynamic games in economic analysis (Espoo, 1990), 299-311, Lecture Notes in Control and Inform. Sci., 157, Springer, Berlin, 1991. (Reviewer: Josef Shinar) | + | *Petrosjan L. A., Garnaev A.Yu. {Igry poiska}. (Russian) [Search games] St.-Peterbg. Gos. Univ., St. Petersburg, 1992. 217 pp. ISBN: 5-288-00482-X (Reviewer: M. S. Shtil'man) |
− | *L. A. Petrosjan (on the occasion of his fiftieth birthday). (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1990, vyp. 2, 117-119. | + | *Petrosjan L. A. The time consistency of the optimality principles in nonzero sum differential games. Dynamic games in economic analysis (Espoo, 1990), 299-311, Lecture Notes in Control and Inform. Sci., 157, Springer, Berlin, 1991. (Reviewer: Josef Shinar) |
− | *Petrosjan L. A. Differential games with dependent strategy sets. (Russian) Academician V. V. Novozhilov - scholar, teacher, citizen (Russian), 230-236, 262, Voprosy Mekh. Protsess. Upravl., 13, Leningrad. Univ., Leningrad, 1990. | + | *L. A. Petrosjan (on the occasion of his fiftieth birthday). (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1990, vyp. 2, 117-119. |
− | *Petrosjan L. A., Kuzcprime mina T. I. {Beskoalitsionnye differentsial'nye igry}. (Russian) [Noncooperative differential games] Irkutsk. Gos. Univ., Irkutsk, 1989. 150 pp. (Reviewer: L. F. Pau) | + | *Petrosjan L. A. Differential games with dependent strategy sets. (Russian) Academician V. V. Novozhilov - scholar, teacher, citizen (Russian), 230-236, 262, Voprosy Mekh. Protsess. Upravl., 13, Leningrad. Univ., Leningrad, 1990. |
− | *Petrosjan L. A., Zakharov V. V. {Vvedenie v matematicheskuyu ekologiyu}. (Russian) [Introduction to mathematical ecology] Leningrad. Univ., Leningrad, 1986. 224 pp. (Reviewer: D. O. Logofet) | + | *Petrosjan L. A., Kuzcprime mina T. I. {Beskoalitsionnye differentsial'nye igry}. (Russian) [Noncooperative differential games] Irkutsk. Gos. Univ., Irkutsk, 1989. 150 pp. (Reviewer: L. F. Pau) |
− | *Petrosjan L. A., Tomskiui G. V. {Elementarnye zadachi presledovaniya i ubeganiya}. (Russian) [Elementary problems of pursuit and evasion] Yakutsk. Gos. Univ., Yakutsk, 1989. 81 pp. (Reviewer: W. H. Ruckle) | + | *Petrosjan L. A., Zakharov V. V. {Vvedenie v matematicheskuyu ekologiyu}. (Russian) [Introduction to mathematical ecology] Leningrad. Univ., Leningrad, 1986. 224 pp. (Reviewer: D. O. Logofet) |
− | *Petrosjan L. A. Multistage multicriterial games with complete information. (Russian) Game theory and its applications (Russian), 66-74, 130, Kemer. Gos. Univ., Kemerovo, 1989. | + | *Petrosjan L. A., Tomskiui G. V. {Elementarnye zadachi presledovaniya i ubeganiya}. (Russian) [Elementary problems of pursuit and evasion] Yakutsk. Gos. Univ., Yakutsk, 1989. 81 pp. (Reviewer: W. H. Ruckle) |
− | *Petrosjan L. A., Malafeev O. A. Differential multicriterial $n$-person games. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1989, vyp. 3,27-31, 121 translation in Vestnik Leningrad Univ. Math. 22 (1989), no. 3, 33-38 (Reviewer: Zdzislaw Wyderka) | + | *Petrosjan L. A. Multistage multicriterial games with complete information. (Russian) Game theory and its applications (Russian), 66-74, 130, Kemer. Gos. Univ., Kemerovo, 1989. |
− | *{Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1989. 135 pp. | + | *Petrosjan L. A., Malafeev O. A. Differential multicriterial $n$-person games. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1989, vyp. 3,27-31, 121 translation in Vestnik Leningrad Univ. Math. 22 (1989), no. 3, 33-38 (Reviewer: Zdzislaw Wyderka) |
− | *Petrosjan L. A. Strong dynamic stability of optimality principles in noncooperative differential games. (Russian) Dynamics of control systems (Russian), 147-153, 205, Voprosy Mekh. Protsess. Upravl., 11, Leningrad. Univ., Leningrad, 1989. (Reviewer: Witold Rzymowski) | + | *{Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1989. 135 pp. |
− | *Petrosjan L. A., Zenkevich N. A. {Optimal'nyi poisk v usloviyakh konflikta}. (Russian) [Optimal search under conditions of conflict] Leningrad. Univ., Leningrad, 1987. 76 pp. (Reviewer: Boleslaw Tolwi'nski) | + | *Petrosjan L. A. Strong dynamic stability of optimality principles in noncooperative differential games. (Russian) Dynamics of control systems (Russian), 147-153, 205, Voprosy Mekh. Protsess. Upravl., 11, Leningrad. Univ., Leningrad, 1989. (Reviewer: Witold Rzymowski) |
− | *Petrosjan L. A., Shiryaev V. D. {Ierarkhicheskie igry}. (Russian) [Hierarchical games] Mordovskiui Gosudarstvennyui Universitet, Saransk, 1986. 92 pp. (Reviewer: Bolesl aw Tol wi'nski) | + | *Petrosjan L. A., Zenkevich N. A. {Optimal'nyi poisk v usloviyakh konflikta}. (Russian) [Optimal search under conditions of conflict] Leningrad. Univ., Leningrad, 1987. 76 pp. (Reviewer: Boleslaw Tolwi'nski) |
− | *Petrosjan L. A., Tomskiui G. V. {Differentsial'nye igry s nepolnoui informatsieui }. (Russian) [Differential games with incomplete information] Irkutcydot sk. Gos. Univ., Irkutsk, 1984. 188 pp. (Reviewer: Andrei V. Panteleyev) | + | *Petrosjan L. A., Shiryaev V. D. {Ierarkhicheskie igry}. (Russian) [Hierarchical games] Mordovskiui Gosudarstvennyui Universitet, Saransk, 1986. 92 pp. (Reviewer: Bolesl aw Tol wi'nski) |
− | *Petrosjan L. A. Classification of dynamically stable solutions in cooperative differential games. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1986, no. 7, 24-35, 87. (Reviewer: Bolesl aw Tol wi'nski) | + | *Petrosjan L. A., Tomskiui G. V. {Differentsial'nye igry s nepolnoui informatsieui }. (Russian) [Differential games with incomplete information] Irkutcydot sk. Gos. Univ., Irkutsk, 1984. 188 pp. (Reviewer: Andrei V. Panteleyev) |
− | *Petrosjan L. A., Danilov N. N. {Kooperativnye differentsial'nye igry i ikh prilozheniya}. (Russian) [Cooperative differential games and their applications] Tomsk. Gos. Univ., Tomsk, 1985. 276 pp. (Reviewer: J. M. Skowro'nski) | + | *Petrosjan L. A. Classification of dynamically stable solutions in cooperative differential games. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1986, no. 7, 24-35, 87. (Reviewer: Bolesl aw Tol wi'nski) |
− | *Petrosjan L. A., Skitovich V. V. Search for a fixed object on a sphere. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1986, vyp. 1, 54-58, 134. | + | *Petrosjan L. A., Danilov N. N. {Kooperativnye differentsial'nye igry i ikh prilozheniya}. (Russian) [Cooperative differential games and their applications] Tomsk. Gos. Univ., Tomsk, 1985. 276 pp. (Reviewer: J. M. Skowro'nski) |
− | *Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential, multistage, noncooperative and hierarchical games, 26-41, 139, Kalinin. Gos. Univ., Kalinin, 1985. (Reviewer: Claudia Simionescu-Badea) | + | *Petrosjan L. A., Skitovich V. V. Search for a fixed object on a sphere. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1986, vyp. 1, 54-58, 134. |
− | *Petrosjan L. A., Zenkevich N.A. Dynamic models of search under conditions of conflict. (Russian) Control of dynamical systems, 97-108, 204, Voprosy Mekh. Protsess. Upravl., 7, Leningrad. Univ., Leningrad, 1984. | + | *Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential, multistage, noncooperative and hierarchical games, 26-41, 139, Kalinin. Gos. Univ., Kalinin, 1985. (Reviewer: Claudia Simionescu-Badea) |
− | *Petrosjan L. A. Simultaneous search game and random distribution of points on a plane. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1985, vyp. 1, 31-35, 121. | + | *Petrosjan L. A., Zenkevich N.A. Dynamic models of search under conditions of conflict. (Russian) Control of dynamical systems, 97-108, 204, Voprosy Mekh. Protsess. Upravl., 7, Leningrad. Univ., Leningrad, 1984. |
− | *Petrosjan L. A., Imbert Kh. T. On the determination of the characteristic function of a treelike hierarchical game. (Russian) Hierarchical, multistage, differential games and their applications, 68-73, 139, Kalinin. Gos. Univ., Kalinin, 1984. | + | *Petrosjan L. A. Simultaneous search game and random distribution of points on a plane. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1985, vyp. 1, 31-35, 121. |
− | *{Upravlenie dinamicheskimi sistemami}. (Russian) [Control of dynamical systems] Edited by V. I. Zubov and L. A. Petrosjan. {Voprosy Mekhaniki i Protsessov Upravleniya} [Questions of Mechanics and Control Processes], 7. Leningrad. Univ., Leningrad, 1984. 208 pp. | + | *Petrosjan L. A., Imbert Kh. T. On the determination of the characteristic function of a treelike hierarchical game. (Russian) Hierarchical, multistage, differential games and their applications, 68-73, 139, Kalinin. Gos. Univ., Kalinin, 1984. |
− | *Petrosjan L. A., Danilov, N. N. A game theoretic model for carrying out a joint project. Engrg. Cybernetics 22 (1984), no. 3, 66-71 (1985); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1984, no. 2,84-90, 204 (Russian) | + | *{Upravlenie dinamicheskimi sistemami}. (Russian) [Control of dynamical systems] Edited by V. I. Zubov and L. A. Petrosjan. {Voprosy Mekhaniki i Protsessov Upravleniya} [Questions of Mechanics and Control Processes], 7. Leningrad. Univ., Leningrad, 1984. 208 pp. |
− | *Petrosjan L. A. Differential games. Current state and problems. (Russian) Multistep, differential, noncooperative and cooperative games, 26-31, Kalinin. Gos. Univ., Kalinin, 1983. | + | *Petrosjan L. A., Danilov, N. N. A game theoretic model for carrying out a joint project. Engrg. Cybernetics 22 (1984), no. 3, 66-71 (1985); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1984, no. 2,84-90, 204 (Russian) |
− | *Petrosjan L. A., Zakharov V. V. Dynamic game-theoretic model of regional development. (Russian) Multistep, differential, noncooperative and cooperative games, 31-39, Kalinin. Gos. Univ., Kalinin, 1983. | + | *Petrosjan L. A. Differential games. Current state and problems. (Russian) Multistep, differential, noncooperative and cooperative games, 26-31, Kalinin. Gos. Univ., Kalinin, 1983. |
− | *Petrosjan L. A. Mathematical models of a controllable ecological equilibrium. (Russian) Mathematical methods of optimization and control in complex systems, 78-86, Kalinin. Gos. Univ., Kalinin, 1983. (Reviewer: K. Smitalova) | + | *Petrosjan L. A., Zakharov V. V. Dynamic game-theoretic model of regional development. (Russian) Multistep, differential, noncooperative and cooperative games, 31-39, Kalinin. Gos. Univ., Kalinin, 1983. |
− | *Petrosjan L. A. New directions in differential game theory. (Russian) Game theory and its applications, 3-22, Kemer. Gos. Univ., Kemerovo, 1983. | + | *Petrosjan L. A. Mathematical models of a controllable ecological equilibrium. (Russian) Mathematical methods of optimization and control in complex systems, 78-86, Kalinin. Gos. Univ., Kalinin, 1983. (Reviewer: K. Smitalova) |
− | *{Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1983. 153 pp. | + | *Petrosjan L. A. New directions in differential game theory. (Russian) Game theory and its applications, 3-22, Kemer. Gos. Univ., Kemerovo, 1983. |
− | *Petrosjan L. A., Tomskiui G. V. {Geometriya prostogo presledovaniya}. (Russian) [Geometry of simple pursuit] ``Nauka'' Sibirsk. Otdel., Novosibirsk, 1983. 143 pp. (Reviewer: E. G. Alcprime brekht) | + | *{Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1983. 153 pp. |
− | *Petrosjan L. A., Tomskiy G. V. Dynamic games. Engrg. Cybernetics 21 (1983), no. 2, 24-38 (1984); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1983, no. 2,33-50 (Russian) | + | *Petrosjan L. A., Tomskiui G. V. {Geometriya prostogo presledovaniya}. (Russian) [Geometry of simple pursuit] ``Nauka'' Sibirsk. Otdel., Novosibirsk, 1983. 143 pp. (Reviewer: E. G. Alcprime brekht) |
− | *Petrosjan L. A. Differential search games. Reduction to dynamic games with complete information. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1983, vyp. 2, 26-30. | + | *Petrosjan L. A., Tomskiy G. V. Dynamic games. Engrg. Cybernetics 21 (1983), no. 2, 24-38 (1984); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1983, no. 2,33-50 (Russian) |
− | *Petrosjan L. A., Shiryaev V. D. Simple pursuit by one pursuer of two pursued. (Russian) Some questions of differential and integral equations and their applications, No. 3, 103-108, Yakutsk. Gos. Univ., Yakutsk, 1978. | + | *Petrosjan L. A. Differential search games. Reduction to dynamic games with complete information. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1983, vyp. 2, 26-30. |
− | *Petrosjan L. A., Tomskiu i G. V. Dynamic games with complete information and their applications to games with incomplete information. (Russian) Differentsialcprime nye Uravneniya 18 (1982), no. 4, 593-599, 732. | + | *Petrosjan L. A., Shiryaev V. D. Simple pursuit by one pursuer of two pursued. (Russian) Some questions of differential and integral equations and their applications, No. 3, 103-108, Yakutsk. Gos. Univ., Yakutsk, 1978. |
− | *Petrosjan L. A., Tomskiui G. V. {Dinamicheskie igry i ikh prilozheniya}. (Russian) [Dynamic games and their applications] Leningrad. Univ., Leningrad, 1982. 252 pp. (Reviewer: O. A. Malafeev) | + | *Petrosjan L. A., Tomskiu i G. V. Dynamic games with complete information and their applications to games with incomplete information. (Russian) Differentsialcprime nye Uravneniya 18 (1982), no. 4, 593-599, 732. |
− | *Imbert T. Josue, Petrosjan L. A. Applications to economics of the theory of $n$-person games. (Spanish) Investigacion Oper. No. 28 (1979), 3-29 (loose errata). | + | *Petrosjan L. A., Tomskiui G. V. {Dinamicheskie igry i ikh prilozheniya}. (Russian) [Dynamic games and their applications] Leningrad. Univ., Leningrad, 1982. 252 pp. (Reviewer: O. A. Malafeev) |
− | *Petrosjan L.A. Solutions of $n$-person differential games. (Russian) Mat. Metody v Sotsial. Nauk.--Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 32-36, 83. | + | *Imbert T. Josue, Petrosjan L. A. Applications to economics of the theory of $n$-person games. (Spanish) Investigacion Oper. No. 28 (1979), 3-29 (loose errata). |
− | *Petrosjan L. A., Ulanov V. A. Dynamic games with an infinite number of players. Basic constructions. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1982, vyp. 2, 69-75, 126. (Reviewer: F. Szidarovszky) | + | *Petrosjan L.A. Solutions of $n$-person differential games. (Russian) Mat. Metody v Sotsial. Nauk.--Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 32-36, 83. |
− | *Petrosjan L. A., Slobodinskaya, T. V. Functional equations for a differential game with incomplete information. (Russian) Methods of mathematical analysis of controlled processes, pp. 183-197, 281, Voprosy Mekh. Protsess. Upravl., 4, Leningrad. Univ., Leningrad, 1981. (Reviewer: J. M. Skowro'nski) | + | *Petrosjan L. A., Ulanov V. A. Dynamic games with an infinite number of players. Basic constructions. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1982, vyp. 2, 69-75, 126. (Reviewer: F. Szidarovszky) |
− | *Petrosjan L.A., Imbert H. Some game-theoretic models of the functioning of rhombus-shaped structures. (Russian) Mat. Metody v Sotsial. Nauk.--Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 37-47, 83. | + | *Petrosjan L. A., Slobodinskaya, T. V. Functional equations for a differential game with incomplete information. (Russian) Methods of mathematical analysis of controlled processes, pp. 183-197, 281, Voprosy Mekh. Protsess. Upravl., 4, Leningrad. Univ., Leningrad, 1981. (Reviewer: J. M. Skowro'nski) |
− | *Petrosjan L. A. Game-theoretic analysis of hierarchical control systems. (Russian) Sixth Conference on Mathematical Methods in Economics (Vitte, 1980) (German), pp. 42-45, Seminarberichte, 29, Humboldt Univ., Berlin, 1980. | + | *Petrosjan L.A., Imbert H. Some game-theoretic models of the functioning of rhombus-shaped structures. (Russian) Mat. Metody v Sotsial. Nauk.--Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 37-47, 83. |
− | *Petrosian L. A., Imbert J. E. A game-theoretic model with rhomboidal control structure. (Spanish) Investigacion Oper. 1 (1980), no. 1, 3-20. | + | *Petrosjan L. A. Game-theoretic analysis of hierarchical control systems. (Russian) Sixth Conference on Mathematical Methods in Economics (Vitte, 1980) (German), pp. 42-45, Seminarberichte, 29, Humboldt Univ., Berlin, 1980. |
− | *Petrosjan L. A., Zaharov V. V. A game-theoretic approach to the problem of protection of the environment. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1981, vyp. 1, 26-32, 119-120. 92A17 | + | *Petrosian L. A., Imbert J. E. A game-theoretic model with rhomboidal control structure. (Spanish) Investigacion Oper. 1 (1980), no. 1, 3-20. |
− | *Petrosjan L. A., Sirjaev V. D. Group pursuit game with several evaders and one pursuer. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1980, vyp. 3, 50-57, 130. | + | *Petrosjan L. A., Zaharov V. V. A game-theoretic approach to the problem of protection of the environment. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1981, vyp. 1, 26-32, 119-120. 92A17 |
− | *Petrosjan L. A., Danilov N. N. Stability of the solutions in nonantagonistic differential games with transferable payoffs. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1979, vyp. 1, 52-59, 134. (Reviewer: A. B. Kurzhanskiui) | + | *Petrosjan L. A., Sirjaev V. D. Group pursuit game with several evaders and one pursuer. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1980, vyp. 3, 50-57, 130. |
− | Tyvsko N. M., Petrosjan L. A. Mathematical model for a tree-like hierarchical control structure. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 160-171, 191, Yakutcydot sk. Gos. Univ., Yakutsk, 1977. | + | *Petrosjan L. A., Danilov N. N. Stability of the solutions in nonantagonistic differential games with transferable payoffs. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1979, vyp. 1, 52-59, 134. (Reviewer: A. B. Kurzhanskiui) |
− | *Tihonova I. F., Petuhova, N. V., Petrosjan L. A. A hierarchical model of planning industrial production. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 86-98, 190, Yakutcydot sk. Gos. Univ., Yakutsk, 1977. | + | *Tyvsko N. M., Petrosjan L. A. Mathematical model for a tree-like hierarchical control structure. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 160-171, 191, Yakutcydot sk. Gos. Univ., Yakutsk, 1977. |
− | *Slobodinskaja T. V., Petrosjan L. A. Antagonistic pursuit game with several participants and incomplete information. (Russian) Control of dynamical systems (Russian), pp. 195-213, 320, Leningrad. Univ., Leningrad, 1978. | + | *Tihonova I. F., Petuhova, N. V., Petrosjan L. A. A hierarchical model of planning industrial production. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 86-98, 190, Yakutcydot sk. Gos. Univ., Yakutsk, 1977. |
− | *Petrosjan L. A. Nonantagonistic differential games. (Russian) Control of dynamical systems (Russian), pp. 173-181, 319, Leningrad. Univ., Leningrad, 1978. | + | *Slobodinskaja T. V., Petrosjan L. A. Antagonistic pursuit game with several participants and incomplete information. (Russian) Control of dynamical systems (Russian), pp. 195-213, 320, Leningrad. Univ., Leningrad, 1978. |
− | *Zenkevich N. A., Petrosjan L. A. Differential games with discrete progression of information receiving by one of the players. (Russian) Control of dynamical systems (Russian), pp. 78-90, 314, Leningrad. Univ., Leningrad, 1978. | + | *Petrosjan L. A. Nonantagonistic differential games. (Russian) Control of dynamical systems (Russian), pp. 173-181, 319, Leningrad. Univ., Leningrad, 1978. |
− | *Petrosjan L. A. Differential pursuit-evasion games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1972), 47-54, 146. | + | *Zenkevich N. A., Petrosjan L. A. Differential games with discrete progression of information receiving by one of the players. (Russian) Control of dynamical systems (Russian), pp. 78-90, 314, Leningrad. Univ., Leningrad, 1978. |
− | *Petrosjan L. A. Stability of the solutions in differential games with several players. (Russian) Vestnik Leningrad. Univ. 1977, no. 19 Mat. Mat. Meh. Astronom. vyp. 4, 46-52, 147. (Reviewer: Milan Medved) | + | *Petrosjan L. A. Differential pursuit-evasion games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1972), 47-54, 146. |
− | *Petrosjan L. A. {Differentsialcprime nye igry presledovaniya.} (Russian) [Differential pursuit games] Izdat. Leningrad. Univ., Leningrad. 1977. 222 pp. (Reviewer: V. Komkov) | + | *Petrosjan L. A. Stability of the solutions in differential games with several players. (Russian) Vestnik Leningrad. Univ. 1977, no. 19 Mat. Mat. Meh. Astronom. vyp. 4, 46-52, 147. (Reviewer: Milan Medved) |
− | *Cistjakov S. V., Petrosjan L. A. An approach to the solution of pursuit games. (Russian) Vestnik Leningrad. Univ. 1977, no. 1 Mat. Meh. Astronom. vyp. 1, 77-82, 166. (Reviewer: E. G. Albreht) | + | *Petrosjan L. A. {Differentsialcprime nye igry presledovaniya.} (Russian) [Differential pursuit games] Izdat. Leningrad. Univ., Leningrad. 1977. 222 pp. (Reviewer: V. Komkov) |
− | *Slobodinskaja, T. V. Petrosjan L. A. Simultaneous pursuit games. (Russian) Mat. Metody v Social. Nauk.-Trudy Sem. Processy Optimal. Upravlenija II Sekcija Vyp. 5 (1975), 23-36. {Teoriya igr.} (Russian) [Game theory] First All-Union Conference on Game Theory, held in Erevan, November, 1968. Edited by N. N. Vorobcprime ev, A. A. Korbut, L. A. Petrosjan and E. B. Janovskaja. Izdat. Akad. Nauk Armjan. SSR, Erevan, 1973. 368 pp. (errata insert). | + | *Cistjakov S. V., Petrosjan L. A. An approach to the solution of pursuit games. (Russian) Vestnik Leningrad. Univ. 1977, no. 1 Mat. Meh. Astronom. vyp. 1, 77-82, 166. (Reviewer: E. G. Albreht) |
− | *Petrosjan L. A. A pursuit game with fixed duration and with delay of information for both players. (Russian) Current trends in game theory (Russian), pp. 109-114. Izdat. "Mokslas", Vilnius, 1976. (Reviewer: G. Zatiasvili) | + | *Slobodinskaja, T. V. Petrosjan L. A. Simultaneous pursuit games. (Russian) Mat. Metody v Social. Nauk.-Trudy Sem. Processy Optimal. Upravlenija II Sekcija Vyp. 5 (1975), 23-36. {Teoriya igr.} (Russian) [Game theory] First All-Union Conference on Game Theory, held in Erevan, November, 1968. Edited by N. N. Vorobcprime ev, A. A. Korbut, L. A. Petrosjan and E. B. Janovskaja. Izdat. Akad. Nauk Armjan. SSR, Erevan, 1973. 368 pp. (errata insert). |
− | Beleevskiui M. M., Petrosjan L. A. The structure of an optimal strategy for the evader in a time-optimal pursuit game. (Russian) Vestnik Leningrad. Univ. No. 7 Mat. Meh. Astronom. Vyp. 2 (1975), 10-15, 169. (Reviewer: R. Petrovic) | + | *Petrosjan L. A. A pursuit game with fixed duration and with delay of information for both players. (Russian) Current trends in game theory (Russian), pp. 109-114. Izdat. "Mokslas", Vilnius, 1976. (Reviewer: G. Zatiasvili) |
− | Beleevskiui M. M., Petrosjan L. A. Structure of the optimal strategy of the evader in a certain class of differential pursuit games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1974), 5-12, 169. (Reviewer: R. Petrovic) | + | *Beleevskiui M. M., Petrosjan L. A. The structure of an optimal strategy for the evader in a time-optimal pursuit game. (Russian) Vestnik Leningrad. Univ. No. 7 Mat. Meh. Astronom. Vyp. 2 (1975), 10-15, 169. (Reviewer: R. Petrovic) |
− | *Petrosjan L. A. Pursuit games with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 227-233. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova) | + | *Beleevskiui M. M., Petrosjan L. A. Structure of the optimal strategy of the evader in a certain class of differential pursuit games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1974), 5-12, 169. (Reviewer: R. Petrovic) |
− | *Petrosjan L. A. A certain pursuit game with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 223-226. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova) | + | *Petrosjan L. A. Pursuit games with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 227-233. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova) |
− | *Petrosjan L. A. Erratum: "Differential games with complete information" (Problemy Kibernet. No. 27 (1973), 267-277). (Russian) Problemy Kibernet. No. 28 (1974), 280. | + | *Petrosjan L. A. A certain pursuit game with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 223-226. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova) |
− | *Petrosjan L. A. Pursuit games with information lag for player $P$. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 8 (1973), no. 2, 93-101, 177. (Reviewer: O. Hajek) | + | *Petrosjan L. A. Erratum: "Differential games with complete information" (Problemy Kibernet. No. 27 (1973), 267-277). (Russian) Problemy Kibernet. No. 28 (1974), 280. |
− | *Petrosjan L. A. Differential games with complete information. (Russian) A collection consisting mainly of papers presented at the Second All-Union Conference on Problems of Theoretical Cybernetics (Novosibirsk, 1971). Problemy Kibernet. No. 27 (1973), 267-277, 295. (Reviewer: G. Zatiasvili) | + | *Petrosjan L. A. Pursuit games with information lag for player $P$. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 8 (1973), no. 2, 93-101, 177. (Reviewer: O. Hajek) |
− | *Malafeev O. A., Petrosjan L. A. A simple pursuit game in the plane with an obstacle. (Russian) Control systems, No. 9 (Russian), pp. 31-42. Inst. Mat. Inst. Kataliza Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk, 1971. (Reviewer: R. Petrovic) | + | *Petrosjan L. A. Differential games with complete information. (Russian) A collection consisting mainly of papers presented at the Second All-Union Conference on Problems of Theoretical Cybernetics (Novosibirsk, 1971). Problemy Kibernet. No. 27 (1973), 267-277, 295. (Reviewer: G. Zatiasvili) |
− | *Petrosjan L. A. Topological games and their applications to pursuit problems. I. SIAM J. Control 10 (1972), 194-202. (Reviewer: J. H. Case) | + | *Malafeev O. A., Petrosjan L. A. A simple pursuit game in the plane with an obstacle. (Russian) Control systems, No. 9 (Russian), pp. 31-42. Inst. Mat. Inst. Kataliza Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk, 1971. (Reviewer: R. Petrovic) |
− | *Petrosjan L. A. Games with a "life-line". The case of $l$-capture. SIAM J. Control 10 (1972), 40-47. | + | *Petrosjan L. A. Topological games and their applications to pursuit problems. I. SIAM J. Control 10 (1972), 194-202. (Reviewer: J. H. Case) |
− | *Petrosjan L. A. Generalized solutions of differential games of survival. (Russian) Ekonom. i Mat. Metody 3 1967 420-425. (Reviewer: Author's review) | + | *Petrosjan L. A. Games with a "life-line". The case of $l$-capture. SIAM J. Control 10 (1972), 40-47. |
− | *Petrosjan L. A. Differential games with incomplete information. (Russian) Dokl. Akad. Nauk SSSR 195 1970 558-561. (Reviewer: F. M. Kirillova) | + | *Petrosjan L. A. Generalized solutions of differential games of survival. (Russian) Ekonom. i Mat. Metody 3 1967 420-425. (Reviewer: Author's review) |
− | *Petrosjan L. A. Invariant center of pursuit in a certain class of nonlinear differential games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 4-5, 397-403. (Reviewer: A. Friedman) | + | *Petrosjan L. A. Differential games with incomplete information. (Russian) Dokl. Akad. Nauk SSSR 195 1970 558-561. (Reviewer: F. M. Kirillova) |
− | *Petrosjan L. A. Topological games and their applications to pursuit problems. I. (Russian) Vestnik Leningrad. Univ. 24 1969 no. 19, 55-63. (Reviewer: A. Friedman) | + | *Petrosjan L. A. Invariant center of pursuit in a certain class of nonlinear differential games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 4-5, 397-403. (Reviewer: A. Friedman) |
− | *Petrosjan L.A., Kuzutin T.I. Games in Extensive Form: Optimality and Stability. St.Petersburg: St.Petersburg state university, 2000, 290 p. | + | *Petrosjan L. A. Topological games and their applications to pursuit problems. I. (Russian) Vestnik Leningrad. Univ. 24 1969 no. 19, 55-63. (Reviewer: A. Friedman) |
− | *Dutkeviv C., Ju. G., Petrosjan L. A. Games "with life line". The case of $1$-capture. (Russian) Vestnik Leningrad. Univ. 24 1969 no. 13, 31-38. (Reviewer: Z. Vorel) | + | *Petrosjan L.A., Kuzutin T.I. Games in Extensive Form: Optimality and Stability. St.Petersburg: St.Petersburg state university, 2000, 290 p. |
− | *Petrosjan L. A. A certain class of quality games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 3, 249-256. (Reviewer: J. M. Skowro'nski) | + | *Dutkeviv C., Ju. G., Petrosjan L. A. Games "with life line". The case of $1$-capture. (Russian) Vestnik Leningrad. Univ. 24 1969 no. 13, 31-38. (Reviewer: Z. Vorel) |
− | *Petrosjan L. A. Differentialspiele und Verfolgungsprobleme. (German) Wiss. Z. Techn. Univ. Dresden 17 1968 761-766. | + | *Petrosjan L. A. A certain class of quality games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 3, 249-256. (Reviewer: J. M. Skowro'nski) |
− | *Petrosjan L. A. Differential games with independent movements. (Russian) Litovsk. Mat. Sb. 8 1968 127-136. (Reviewer: J. M. Skowro'nski) | + | *Petrosjan L. A. Differentialspiele und Verfolgungsprobleme. (German) Wiss. Z. Techn. Univ. Dresden 17 1968 761-766. |
− | *Souihet B. A., Petrosjan L. A. A set-theoretic approach to pursuit games. (Russian) Litovsk. Mat. Sb. 8 1968 371-380. (Reviewer: J. R. Isbell) | + | *Petrosjan L. A. Differential games with independent movements. (Russian) Litovsk. Mat. Sb. 8 1968 127-136. (Reviewer: J. M. Skowro'nski) |
− | *Petrosjan L. A. Pursuit games "with life line". (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 76-85. (Reviewer: J. M. Skowro'nski) | + | *Souihet B. A., Petrosjan L. A. A set-theoretic approach to pursuit games. (Russian) Litovsk. Mat. Sb. 8 1968 371-380. (Reviewer: J. R. Isbell) |
− | *Petrosjan L. A. The applicability of Isaacs' technique of solution "in the small" to the solution "in the small" of certain pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 7, 66-70. (Reviewer: P. Sagirow) | + | *Petrosjan L. A. Pursuit games "with life line". (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 76-85. (Reviewer: J. M. Skowro'nski) |
− | *Petrosjan L. A. A certain invariant in differential pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 1, 42-51. (Reviewer: L. D. Berkovitz) | + | *Petrosjan L. A. The applicability of Isaacs' technique of solution "in the small" to the solution "in the small" of certain pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 7, 66-70. (Reviewer: P. Sagirow) |
− | *Petrosjan L. A., Murzov, N. V. The $n$-person tug of war game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 125-129. (Reviewer: L. W. Neustadt) | + | *Petrosjan L. A. A certain invariant in differential pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 1, 42-51. (Reviewer: L. D. Berkovitz) |
− | *Petrosjan L. A. Another generalization of Kuhn's theorem. (Russian) 1967 Theory of games: Positional games (Russian) pp. 230-245 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell) | + | *Petrosjan L. A., Murzov, N. V. The $n$-person tug of war game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 125-129. (Reviewer: L. W. Neustadt) |
− | *Petrosjan L. A. A certain mapping in a family of differential pursuit games. (Russian) Dokl. Akad. Nauk SSSR 178 1968 34-37. (Reviewer: P. Sagirow) | + | *Petrosjan L. A. Another generalization of Kuhn's theorem. (Russian) 1967 Theory of games: Positional games (Russian) pp. 230-245 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell) |
− | *Petrosjan L. A. Signalling strategies and behavior strategies in a class of infinite positional games. (Russian) 1967 Theory of games: Positional games (Russian) pp. 221-229 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell) | + | *Petrosjan L. A. A certain mapping in a family of differential pursuit games. (Russian) Dokl. Akad. Nauk SSSR 178 1968 34-37. (Reviewer: P. Sagirow) |
− | *Petrosjan L. A. Dynamic pursuit game in the presence of friction forces. (Russian) Akad. Nauk Armjan. SSR Dokl. 44 1967 no. 1, 3-7. (Reviewer: P. Sagirow) | + | *Petrosjan L. A. Signalling strategies and behavior strategies in a class of infinite positional games. (Russian) 1967 Theory of games: Positional games (Russian) pp. 221-229 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell) |
− | *Petrosjan L. A. "Life-line" pursuit games with several players. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 1 1966 no. 5, 331-340. (Reviewer: L. D. Berkovitz) | + | *Petrosjan L. A. Dynamic pursuit game in the presence of friction forces. (Russian) Akad. Nauk Armjan. SSR Dokl. 44 1967 no. 1, 3-7. (Reviewer: P. Sagirow) |
− | *Petrosjan L. A. Dispersal surfaces in a family of pursuit games. (Russian) Akad. Nauk Armjan. SSR Dokl. 43 1966 no. 4, 193-197. (Reviewer: L. D. Berkovitz) | + | *Petrosjan L. A. "Life-line" pursuit games with several players. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 1 1966 no. 5, 331-340. (Reviewer: L. D. Berkovitz) |
− | *Petrosjan L. A., Murzov N. V. Dynamical pursuit game. (Russian) Dokl. Akad. Nauk SSSR 172 1967 1270-1272. (Reviewer: L. D. Berkovitz) | + | *Petrosjan L. A. Dispersal surfaces in a family of pursuit games. (Russian) Akad. Nauk Armjan. SSR Dokl. 43 1966 no. 4, 193-197. (Reviewer: L. D. Berkovitz) |
− | *Petrosjan L. A., Murzov N. V. Game-theoretic problems of mechanics. (Russian) Litovsk. Mat. Sb. 6 1966 423-433. (Reviewer: L. D. Berkovitz) | + | *Petrosjan L. A., Murzov N. V. Dynamical pursuit game. (Russian) Dokl. Akad. Nauk SSSR 172 1967 1270-1272. (Reviewer: L. D. Berkovitz) |
− | *Murzov N. V., Petrosjan L. A. Pulling-over differential game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 1, 106-112. (Reviewer: Z. Vorel) | + | *Petrosjan L. A., Murzov N. V. Game-theoretic problems of mechanics. (Russian) Litovsk. Mat. Sb. 6 1966 423-433. (Reviewer: L. D. Berkovitz) |
− | *Petrosjan L. A. A game of pursuit on a half-plane. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 265-269. (Reviewer: A. Dvoretzky) | + | *Murzov N. V., Petrosjan L. A. Pulling-over differential game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 1, 106-112. (Reviewer: Z. Vorel) |
− | *Petrosjan L. A. On the reduction of the solution of a game of pursuit for survival to the solution of a Cauchy problem for a first-order partial differential equation. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 193-196. (Reviewer: D. A. Lee) | + | *Petrosjan L. A. A game of pursuit on a half-plane. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 265-269. (Reviewer: A. Dvoretzky) |
− | *Petrosjan L. A. Differential survival games with several players. (Russian) Dokl. Akad. Nauk SSSR 161 1965 285-287. (Reviewer: G. N. Raney) | + | *Petrosjan L. A. On the reduction of the solution of a game of pursuit for survival to the solution of a Cauchy problem for a first-order partial differential equation. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 193-196. (Reviewer: D. A. Lee) |
− | *Petrosjan L. A. A family of differential survival games in the space $Rsp{n}$. (Russian) Dokl. Akad. Nauk SSSR 161 1965 52-54. (Reviewer: G. N. Raney) | + | *Petrosjan L. A. Differential survival games with several players. (Russian) Dokl. Akad. Nauk SSSR 161 1965 285-287. (Reviewer: G. N. Raney) |
− | *Petrosyan L. A., Kusyutin, D. V. On the stability of $epsilon$-equilibrium in the class of mixed strategies. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 3, 46-50 (1996). | + | *Petrosjan L. A. A family of differential survival games in the space $Rsp{n}$. (Russian) Dokl. Akad. Nauk SSSR 161 1965 52-54. (Reviewer: G. N. Raney) |
− | *Petrosjan L. A. Characteristic functions of cooperative differential games. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 1, 38-42. | + | *Petrosyan L. A., Kusyutin, D. V. On the stability of $epsilon$-equilibrium in the class of mixed strategies. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 3, 46-50 (1996). |
− | *Petrosjan L. A. Strongly time-consistent differential optimality principles. Vestnik St. Petersburg Univ. Math. 26 (1993), no. 4, 40-46. | + | *Petrosjan L. A. Characteristic functions of cooperative differential games. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 1, 38-42. |
− | *Petrosjan L. A. Determining evolutionarily stable strategies in dynamic games. Vestnik St. Petersburg Univ. Math. 29 (1996), no. 1, 55-60. | + | *Petrosjan L. A. Strongly time-consistent differential optimality principles. Vestnik St. Petersburg Univ. Math. 26 (1993), no. 4, 40-46. |
− | *Petrosjan L. A. Refinement of the Nash solution for games with perfect information. Advances in dynamic games and applications (Kanagawa, 1996), 269-277, Ann. Internat. Soc. Dynam. Games, 5, Birkhauser Boston, Boston, MA, 2000. | + | *Petrosjan L. A. Determining evolutionarily stable strategies in dynamic games. Vestnik St. Petersburg Univ. Math. 29 (1996), no. 1, 55-60. |
− | *Petrosjan L. A. Electing the directorial council. Dynamics and control (Sopron, 1995), 187-194, Stability Control Theory Methods Appl., 9, Gordon and Breach, Amsterdam, 1999. | + | *Petrosjan L. A. Refinement of the Nash solution for games with perfect information. Advances in dynamic games and applications (Kanagawa, 1996), 269-277, Ann. Internat. Soc. Dynam. Games, 5, Birkhauser Boston, Boston, MA, 2000. |
− | *Petrosjan L. A. Time consistency of cooperative solutions in dynamic games. Nonlinear analysis and convex analysis (Niigata, 1998), 61-64, World Sci. Publishing, River Edge, NJ, 1999. | + | *Petrosjan L. A. Electing the directorial council. Dynamics and control (Sopron, 1995), 187-194, Stability Control Theory Methods Appl., 9, Gordon and Breach, Amsterdam, 1999. |
− | *Petrosjan L. A. Simple search games in a plane. (Russian) Investigations in the geometry of simple pursuit (Russian), 73-82, Yakutcydot sk. Gos. Univ., Yakutsk, 1991. | + | *Petrosjan L. A. Time consistency of cooperative solutions in dynamic games. Nonlinear analysis and convex analysis (Niigata, 1998), 61-64, World Sci. Publishing, River Edge, NJ, 1999. |
− | *Petrosjan L. A. Agreeable solutions in differential games. Game theory and applications, III, 91-103, Nova Sci. Publ., Commack, NY, 1997. | + | *Petrosjan L. A. Simple search games in a plane. (Russian) Investigations in the geometry of simple pursuit (Russian), 73-82, Yakutcydot sk. Gos. Univ., Yakutsk, 1991. |
− | *Gauthier B., Petrosjan L. A. A game-theoretic model of the decision-making process within international economic organizations. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 15-25. | + | *Petrosjan L. A. Agreeable solutions in differential games. Game theory and applications, III, 91-103, Nova Sci. Publ., Commack, NY, 1997. |
− | *Petrosjan L. A. Strongly time consistent optimality principles for the game with discount payoffs. System modelling and optimization (Compiegne, 1993), 513-520, Lecture Notes in Control and Inform. Sci., 197, Springer, London, 1994. | + | *Gauthier B., Petrosjan L. A. A game-theoretic model of the decision-making process within international economic organizations. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 15-25. |
− | *Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Internat. Year-Book Game Theory Appl. 1 (1993), 47-53. | + | *Petrosjan L. A. Strongly time consistent optimality principles for the game with discount payoffs. System modelling and optimization (Compiegne, 1993), 513-520, Lecture Notes in Control and Inform. Sci., 197, Springer, London, 1994. |
− | *Petrosjan L. A. Multicriterial dynamic optimization. Conference on Differential Equations and Applications (Ruse, 1989), 381-387, Tech. Univ., Ruse, 1991. | + | *Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Internat. Year-Book Game Theory Appl. 1 (1993), 47-53. |
− | *Petrosjan L. A. On a search problem. (Russian) Problems in optimal control and operations research (Russian), 136-139, 199, Irkutcydot sk. Gos. Univ., Irkutsk, 1988. | + | *Petrosjan L. A. Multicriterial dynamic optimization. Conference on Differential Equations and Applications (Ruse, 1989), 381-387, Tech. Univ., Ruse, 1991. |
− | *Petrosjan L. A. Games with dependent strategy sets. (Russian) Mathematical methods in the theory of computer-aided design systems, robots and systems (Russian), 26-31, Kalinin. Gos. Univ., Kalinin, 1988. | + | *Petrosjan L. A. On a search problem. (Russian) Problems in optimal control and operations research (Russian), 136-139, 199, Irkutcydot sk. Gos. Univ., Irkutsk, 1988. |
− | *Petrosjan L. A. Dynamic and strong dynamic stability of optimal decisions. VII Conference on Applied Mathematics (Osijek, 1989), 179-184, Univ. Osijek, Osijek, 1990. | + | *Petrosjan L. A. Games with dependent strategy sets. (Russian) Mathematical methods in the theory of computer-aided design systems, robots and systems (Russian), 26-31, Kalinin. Gos. Univ., Kalinin, 1988. |
− | *Petrosjan L. A. Mathematical-ecological models and hierarchical games. (Russian) Mathematical models for the rational use of the environment (Russian), 76-86, 142, "Nauka" Sibirsk. Otdel., Novosibirsk, 1989. | + | *Petrosjan L. A. Dynamic and strong dynamic stability of optimal decisions. VII Conference on Applied Mathematics (Osijek, 1989), 179-184, Univ. Osijek, Osijek, 1990. |
− | *Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential equations and applications, I, II (Russian) (Ruse, 1985), 317-320, `Angel Kanchev' Tech. Univ., Ruse, 1987. | + | *Petrosjan L. A. Mathematical-ecological models and hierarchical games. (Russian) Mathematical models for the rational use of the environment (Russian), 76-86, 142, "Nauka" Sibirsk. Otdel., Novosibirsk, 1989. |
− | *Petrosjan L.A.,Zaccour G. A Multistage supergame of downstream pollution. Advances in Dynamic Games and Applications, vol.5, 1999. | + | *Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential equations and applications, I, II (Russian) (Ruse, 1985), 317-320, `Angel Kanchev' Tech. Univ., Ruse, 1987. |
− | *Petrosjan L.A. Refinement of the Nash solution for games with perfect information.Advances in Dynamic Games and Applications, vol.5, 1999. | + | *Petrosjan L.A.,Zaccour G. A Multistage supergame of downstream pollution. Advances in Dynamic Games and Applications, vol.5, 1999. |
− | *Petrosjan L.A., Filar Dynamic cooperative games, International Game Theory Review, vol.2, N1, 2000. | + | *Petrosjan L.A. Refinement of the Nash solution for games with perfect information.Advances in Dynamic Games and Applications, vol.5, 1999. |
− | *Petrosjan L.A., Villiger R. Time-consistent agreeable solurions in envirinment pollution game. Proceedings of the IFAC SME 2001 Conference, Klagenfurt, 2001. | + | *Petrosjan L.A., Filar Dynamic cooperative games, International Game Theory Review, vol.2, N1, 2000. |
− | *Petrosjan L.A. Electing of the directorial councel. Stability and Control, Methods and Applications, Vol. 9 Gordon and Breach Sci Pbl. 1999. | + | *Petrosjan L.A., Villiger R. Time-consistent agreeable solurions in envirinment pollution game. Proceedings of the IFAC SME 2001 Conference, Klagenfurt, 2001. |
− | *Petrosjan L.A.,Ayoshin D. Values of dynamic games with partial cooperation, Papers of the institute of mathematics and mechanics,USC RAS, 1999 (in russian) | + | *Petrosjan L.A. Electing of the directorial councel. Stability and Control, Methods and Applications, Vol. 9 Gordon and Breach Sci Pbl. 1999. |
− | *Petrosjan L.A. Shevkoplyas E.V. Cooperative games with random duration, Viestnik of St.Petersburg Univ., ser.1,vol.4,2000 | + | *Petrosjan L.A.,Ayoshin D. Values of dynamic games with partial cooperation, Papers of the institute of mathematics and mechanics,USC RAS, 1999 (in russian) |
− | *Petrosjan L.A., Yeung D.W.K. Cooperative differential ames with uncertain payoffs. Viestnik of St.Petersburg Univ.,Vol.3, 2000. (in russian) | + | *Petrosjan L.A. Shevkoplyas E.V. Cooperative games with random duration, Viestnik of St.Petersburg Univ., ser.1,vol.4,2000 |
− | *Petrosjan L.A.,J.Puerto Folk theorems in multicriterial repeated games. Sociedad de Statistica e Investigation Operativa, Vol.10, N2, 2002. | + | *Petrosjan L.A., Yeung D.W.K. Cooperative differential ames with uncertain payoffs. Viestnik of St.Petersburg Univ.,Vol.3, 2000. (in russian) |
− | *Petrosjan.L.A. Cooperative stochastic games. Proceedings of the 10th International Symposium on Dynamic Games and Applications, Vol.2.,2002 | + | *Petrosjan L.A.,J.Puerto Folk theorems in multicriterial repeated games. Sociedad de Statistica e Investigation Operativa, Vol.10, N2, 2002. |
− | *Petrosjan L.A., Grauer L.V. Strong Nash equilibrium in multistage games. International Game Theory Review, 4(3) 2002. | + | *Petrosjan.L.A. Cooperative stochastic games. Proceedings of the 10th International Symposium on Dynamic Games and Applications, Vol.2.,2002 |
− | *Petrosjan L.A., Grauer L.V. New class of solutions in multistege games with applications to "prisoners dilemma", Game Theory and Applications, Vol.8. 2002. | + | *Petrosjan L.A., Grauer L.V. Strong Nash equilibrium in multistage games. International Game Theory Review, 4(3) 2002. |
+ | *Petrosjan L.A., Grauer L.V. New class of solutions in multistege games with applications to "prisoners dilemma", Game Theory and Applications, Vol.8. 2002. | ||
*Petrosjan L.A., Zaccour G. Time-consistent Shapley value allocation of pollution cost reduction. Journal of Economics and Control, 27, 2003. | *Petrosjan L.A., Zaccour G. Time-consistent Shapley value allocation of pollution cost reduction. Journal of Economics and Control, 27, 2003. | ||
+ | |||
+ | Подробнее см. - [http://www.apmath.spbu.ru/ru/staff/petrosjan/index.html]. | ||
+ | |||
==Достижения== | ==Достижения== | ||
*доктор физико-математических наук | *доктор физико-математических наук | ||
*профессор | *профессор | ||
+ | *Иностранный Член НАН РА | ||
+ | ===Награды=== | ||
+ | * Орден Дружбы | ||
+ | * Медаль ордена «За заслуги перед Отечеством» II степени | ||
+ | * Благодарность Президента Российской Федерации | ||
+ | * Премия Р. Айзекса (International Society of Dynamic Games) | ||
+ | * В 1994 и 1997 годах ему присуждалась Государственная научная стипендия | ||
==Изображения== | ==Изображения== | ||
− | <gallery>Изображение:Petrosjan1.jpg</gallery> | + | <gallery> |
+ | Файл:Петросян Леон Аганесович443.jpg|Портрет 17-летнего Леона кисти Мартироса Сарьяна | ||
+ | Изображение:Petrosjan1.jpg</gallery> | ||
+ | ===Книги=== | ||
+ | <gallery> | ||
+ | Файл:1Петросян Леон Аганесович.jpg | ||
+ | Файл:Петросян Леон Аганесович2.jpg | ||
+ | Файл:Петросян Леон Аганесович3.jpg | ||
+ | Файл:Петросян Леон Аганесович5.jpg | ||
+ | </gallery> | ||
+ | |||
+ | ==Разное== | ||
+ | *Отец - Петросян Оганес Хачатурович, учился в медицинском институте, мать, [[Амбарцумян Гоар Амазасповна|Амбарцумян Гоар Амазасповна]], работала доцентом на математико-механическом факультете ЛГУ. | ||
+ | *Дядя, со стороны матери - [[Амбарцумян Виктор Амазаспович|Виктор Амазаспович Амбарцумян]]. | ||
+ | *[[Сарьян Мартирос Сергеевич|Мартирос Сарьян]] нарисовал портрет 17-летнего Леона, когда гостил в Бюракане. Юноша (он тогда закончил первый курс Ереванского университета) часто ходил с художником в горы, таскал треногу и мольберт знаменитого мастера. «Он тогда гостил у моего дедушки. Сарьян нарисовал тогда портрет моей бабушки и подарил ей. А мой портрет не подарил, себе оставил — говорит, что очень хорошо получилось.» Портрет юного Леона Петросяна входит в экспозицию дома-музея М.Сарьяна в Ереване. | ||
+ | |||
=Библиография= | =Библиография= | ||
− | *http://www.apmath.spbu.ru/ru/staff/petrosjan/ | + | *[http://www.isdgrus.ru/department/5_1_2.htm Кафедра математической теории игр и статистических решений] |
− | * | + | *[http://journal.spbu.ru/?p=3069 Математик. Путешественник. Фотограф] |
+ | *[http://www.isdgrus.ru/lp/information.phtml Петросян Леон Аганесович] | ||
+ | *[http://publ.lib.ru/ARCHIVES/P/PETROSYAN_Leon_Aganesovich/_Petrosyan_L.A..html Публичная библиотека] | ||
+ | *[http://www.apmath.spbu.ru/ru/staff/petrosjan/ Санкт-Петербургский государственный университет ФАКУЛЬТЕТ ПРИКЛАДНОЙ МАТЕМАТИКИ - ПРОЦЕССОВ УПРАВЛЕНИЯ] | ||
+ | *[http://www.spbu.ru/faces/whoiswho/p/petrosyan/] | ||
+ | ==Контакты== | ||
*E-mail: lapetr@apmath.spbu.ru | *E-mail: lapetr@apmath.spbu.ru | ||
+ | [[Категория:Доктора физико-математических наук]] | ||
+ | [[Категория:Математики]] | ||
+ | [[Категория:Профессора]] |
Текущая версия на 19:39, 14 октября 2018
Содержание
Биография
Родился 18 декабря 1940 г. в Ленинграде.
Образование
- 1957-1960, Ереванский государственный университет. Мат-Мех.
- 1960-1962, Ленинградский государственный университет. Мат-Мех.
аспирантура
- 1962-1965, Ленинградский государственный университет. Мат-Мех.
- защита кандидатской диссертации - 1965 [Об одном классе игр преследования]
- защита докторской диссертации - 1972 [Дифференциальные игры преследования]
Область научных интересов
Теория дифференциальных и динамических игр, теория управления.
Научная и педагогическая деятельность
Петросян Леон Аганесович является видным ученым в области прикладной математики, известным специалистом по теории управления, дифференциальным уравнениям и их приложениям.
Им впервые построена математически корректная теория управления многокритериальными системами, основанная на регуляризации принципов оптимальности, обеспечивающих устойчивое во времени развитие сложной системы, описываемой дифференциальными уравнениями и общими динамическими системами. Эта теория содержит строгие постановки типичных задач, условия их регуляризации, способы построения искомых управлений; в ней изучены вопросы корректности и реализуемости найденных решений. Л.А.Петросяном впервые развита теория конфликтно-управляемых процессов с неполной информацией, не сводимых к процессам с полной информацией: обоснован метод выбора случайных управляющих воздействий и построены решения типичных классов задач с запаздыванием информации.
Одновременно Л. А. Петросян являлся руководителем работ по важнейшей тематике. Проведенные под его руководством работы доводились до реализации в специальных системах управления, в них предлагались способы управления в задачах поиска, преследования и перехвата подвижных объектов, оптимизация распределения капиталовложений по отраслям и направлениям деятельности, оптимальное поведение в задачах охраны окружающей среды.
Л. А. Петросян работает в СПбГУ с момента окончания аспирантуры в 1965 году, он ведет большую научно-организационную, педагогическую и общественную работу. С 1975 года и по настоящее время он первый избранный декан факультета ПМ-ПУ.
В качестве председателя административного Совета УНЦ ПМ-ПУ руководит работой этого центра.
С 1987 года заведует кафедрой математической статистики, теории надежности и массового обслуживания.
Подготовка кадров высшей квалификации
Среди его учеников 7 докторов и 40 кандидатов наук.
С 1976 года является председателем двух специализированных Советов по присуждению ученой степени кандидата физико-математических и технических наук по вычислительной математике, математической кибернетике, вычислительным машинам, программированию и др.
Лекции и доклады
Л.А. Петросян приглашался для чтения лекций и докладов в Московский Государственный университет, Вильнюсский университет, Иркутский университет, Кемеровский университет, Якутский университет, Ташкентский университет, Ереванский университет.
Кроме того, Л.А. Петросян в 1968, 1969 годах читал лекции по «Теории игр и исследованию операций» в Каирском и Асьютском университетах (Египет); в 1974, 1980 и 1983 годах читал курс лекций по теории игр в Гаванском университете, университете Сантьяго де Куба (Куба); в 1979 году - лекции в Гумбольдском и Дрезденском технических университетах (Германия); в 1988 году читал лекции в Загребском, Осьекском, Сараевском, Люблянском университетах и в университете города Сплит (Югославия); в 1990 году - в Калифорнийском университете и университете Пордью (США); в 1991, 1995, 1998 годах - в Токийском университете, университетах городов Осака, Кобэ, Хирасаки и Хиросима (Япония); в 1992 году - в Стокгольском университете и в Стокгольском техническом университете; в 1994, 1995, 1996, 1997 годах - в Гамбургском, Гейдельбергском университетах, Мюнхенском техническом университете и университете города Ульм; в 1994, 1997 годах - в Сеульском университете и университете города Тегу (Корея); в 1994, 1995, 1996, 1997 годах - в университете города Монреаль (Канада); в 1996 году - в университете города Сан-Паулу (Бразилия); в 1998 году - в техническом университете города Хайфа и Еврейском университете Иерусалима (Израиль); в 1998 году - в Кембриджском и Лондонском университетах (Великобритания); в 1999 году - в университете Мехико (Мексика) и университете Гонконг (Китай).
Общественная и редакторская деятельность
Член редколлегий ряда российских и международных научных журналов.
- Редактор (совместно с В.В. Мазаловым) международного ежегодника "Game Theory and Applications" (Nova Sci. Publ., New York, USA)
- Редактор международного журнала "International Game Theory Review" (World Sci. Publ., London, Singapore)
- Член президиума международного общества динамических игр
- Руководитель научных проектов по грантам РФФИ и международным грантам
Список публикаций
Он автор более 140 научных работ (из них 17 монографий, три из которых переведены в США и Великобритании), среди них:
- Petrosjan L. A. Semicooperative games. Vestnik St. Petersburg Univ. Math. 31 (1998), no. 2, 57-63 (1999).
- Petrosjan L. A. On constructing a unique by payoffs Nash equilibrium in a perfect-information game. Vestnik St. Petersburg Univ. Math. 32 (1999)
- Petrosjan L. A. A unique Nash solution for the games with perfect information. Int. J. Math. Game Theory Algebra 10 (2000)
- Petrosjan L. A., Zaccour Georges A multistage supergame of downstream pollution. Advances in dynamic games and applications (Kanagawa, 1996), 387-403, Ann. Internat. Soc. Dynam. Games, 5, Birkhäuser Boston, Boston, MA, 2000.
- Petrosjan L. A. Issledovaniya po geometrii prostogo presledovaniya. (Russian) [Investigations in the geometry of simple pursuit] Edited by L. A. Petrosjan. Yakutsk. Gos. Univ., Yakutsk, 1991. 105 pp. ISBN: 5-230-20971-2
- Petrosjan L. A. A unique Nash solution for the games with perfect information. Game theory and applications, IV, 121-129, Nova Sci. Publ., Commack, NY, 1998.
- Petrosjan L. A. Game theory and applications. IV. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1998. vi+194 pp. ISBN: 1-56072-629-6
- Petrosjan L. A. International year-book of game theory and applications. Vol. 1. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. VO ``Nauka, Novosibirsk, 1993. 106 pp. ISBN 5-02-030665-7
- Petrosjan L. A., Ayoshin Dmitri A, Tanaka Tamaki Construction of a time consistent core in multichoice multistage games. Decision theory and related fields (Japanese) (Kyoto, 1997). S=urikaisekikenky=usho K=oky=uroku No. 1043 (1998), 198-206.
- Petrosjan L. A. Agreeable solutions in differential games. Int. J. Math. Game Theory Algebra 7 (1998), no. 2-3, 165-177. (Reviewer: H. Abou-Kandil)
- Petrosjan L. A., Zakharov V. V. Mathematical models in environmental policy analysis. Translated from the Russian by Y. M. Donets. Nova Science Publishers, Inc., Commack, NY, 1997. 246 pp. ISBN: 1-56072-515-X (Reviewer: Alexander Abakumov)
- Petrosjan L. A., Zenkevich N. A., Semina E. A. {Teoriya igr}. (Russian) [Game theory] "Vyssh. Shkola", Moscow; Knizhnyui Dom "Universitet", Moscow, 1998. 301 pp. ISBN: 5-06-001005-8; 5-8013-0007-4
- Petrosjan L. A., Zakharov, V. V. Matematicheskie modeli v ekologii. (Russian) [Mathematical models in ecology] Izdatel'stvo Sankt-Peterburgskogo Universiteta, St. Petersburg, 1997. 254 pp. ISBN: 5-288-01527-9 (Reviewer: Alexander Abakumov)
- Petrosjan L. A. Differential games of pursuit. Translated from the Russian by J. M. Donetz and the author. Series on Optimization, 2. World Scientific Publishing Co., Inc., River Edge, NJ, 1993. xx+325 pp. ISBN: 981-02-0979-7
- Game theory and applications. III. Edited by L. A. Petrosjan and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1997. iv+225 pp. ISBN: 1-56072-496-X
- Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Game theory and applications, 47-53, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Asen L. Dontchev)
- Petrosjan L. A. On new strongly dynamically stable optimality principles in cooperative differential games. (Russian) Trudy Mat. Inst. Steklov. 211 (1995), Optim. Upr. i Differ. Uravn., 370-376. (Reviewer: Anatolii F. Kleimenov)
- Petrosjan L. A., Tanaka Tamaki Multistage games with vector payoffs. Game theory and applications, II, 185-191, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Veijo Kaitala)
- Filar Jerzy A., Petrosjan L. A. Integral and differential optimality principles in $n$-person differential games. Game theory and applications, 155-168, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Fausto Mignanego)
- Petrosjan L. A., Tanaka Tamaki Multistage games with vector payoffs. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 97-102. (Reviewer: H. Abou-Kandil)
- Game theory and applications. II. Edited by L. A. Petrosjan and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1996. iv+223 pp. ISBN: 1-56072-390-4
- Petrosjan L. A., Zenkevich N. A. Game theory. With the assistance of Elena A. Semina. Translated from the Russian manuscript by J. M. Donetz.
- Petrosjan L. A. The Shapley value for differential games. New trends in dynamic games and applications, 409-417, Ann. Internat. Soc. Dynam. Games, 3, Birkhauser Boston, Boston, MA, 1995. (Reviewer: Anatolii F. Kleimenov)
- Game theory and applications. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1996. vi+211 pp. ISBN: 1-56072-266-5 90-06
- {Modelirovanie prirodnykh sistem i zadachi optimal'nogo upravleniya}. (Russian) [Modeling of natural systems and optimal control problems] Papers from the School "Mathematical Problems in Ecology" held in Chita. Edited by L. A. Petrosjan and V. V. *Mazalov. VO ``Nauka, Novosibirsk, 1993. 96 pp. ISBN: 5-02-030207-4 93-06 (49N55 93A30)
- Petrosjan L. A. The regularization of NB-scheme in differential games. Dynam. Control 5 (1995), no. 1, 31-35. (Reviewer: E. G. Alcprime brekht)
- Petrosjan L. A. Construction of strongly dynamically stable solutions in cooperative differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 2, 33-38, 114 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 2, 32-36
- Petrosjan L. A. The values of hierarchical differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 1,39-43, 117-118 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 1, 37-41
- Petrosjan L. A. Strongly dynamically stable optimality principles in multicriterial optimal control problems. J. Comput. *Systems Sci. Internat. 32 (1994), no. 2, 146-150; translated from Izv. Ross. Akad. Nauk Tekhn. Kibernet. 1993, no. 1, 169-174 (Russian) (Reviewer: Zdzislaw Wyderka)
- Petrosjan L. A., Garnaev A.Yu. {Igry poiska}. (Russian) [Search games] St.-Peterbg. Gos. Univ., St. Petersburg, 1992. 217 pp. ISBN: 5-288-00482-X (Reviewer: M. S. Shtil'man)
- Petrosjan L. A. The time consistency of the optimality principles in nonzero sum differential games. Dynamic games in economic analysis (Espoo, 1990), 299-311, Lecture Notes in Control and Inform. Sci., 157, Springer, Berlin, 1991. (Reviewer: Josef Shinar)
- L. A. Petrosjan (on the occasion of his fiftieth birthday). (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1990, vyp. 2, 117-119.
- Petrosjan L. A. Differential games with dependent strategy sets. (Russian) Academician V. V. Novozhilov - scholar, teacher, citizen (Russian), 230-236, 262, Voprosy Mekh. Protsess. Upravl., 13, Leningrad. Univ., Leningrad, 1990.
- Petrosjan L. A., Kuzcprime mina T. I. {Beskoalitsionnye differentsial'nye igry}. (Russian) [Noncooperative differential games] Irkutsk. Gos. Univ., Irkutsk, 1989. 150 pp. (Reviewer: L. F. Pau)
- Petrosjan L. A., Zakharov V. V. {Vvedenie v matematicheskuyu ekologiyu}. (Russian) [Introduction to mathematical ecology] Leningrad. Univ., Leningrad, 1986. 224 pp. (Reviewer: D. O. Logofet)
- Petrosjan L. A., Tomskiui G. V. {Elementarnye zadachi presledovaniya i ubeganiya}. (Russian) [Elementary problems of pursuit and evasion] Yakutsk. Gos. Univ., Yakutsk, 1989. 81 pp. (Reviewer: W. H. Ruckle)
- Petrosjan L. A. Multistage multicriterial games with complete information. (Russian) Game theory and its applications (Russian), 66-74, 130, Kemer. Gos. Univ., Kemerovo, 1989.
- Petrosjan L. A., Malafeev O. A. Differential multicriterial $n$-person games. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1989, vyp. 3,27-31, 121 translation in Vestnik Leningrad Univ. Math. 22 (1989), no. 3, 33-38 (Reviewer: Zdzislaw Wyderka)
- {Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1989. 135 pp.
- Petrosjan L. A. Strong dynamic stability of optimality principles in noncooperative differential games. (Russian) Dynamics of control systems (Russian), 147-153, 205, Voprosy Mekh. Protsess. Upravl., 11, Leningrad. Univ., Leningrad, 1989. (Reviewer: Witold Rzymowski)
- Petrosjan L. A., Zenkevich N. A. {Optimal'nyi poisk v usloviyakh konflikta}. (Russian) [Optimal search under conditions of conflict] Leningrad. Univ., Leningrad, 1987. 76 pp. (Reviewer: Boleslaw Tolwi'nski)
- Petrosjan L. A., Shiryaev V. D. {Ierarkhicheskie igry}. (Russian) [Hierarchical games] Mordovskiui Gosudarstvennyui Universitet, Saransk, 1986. 92 pp. (Reviewer: Bolesl aw Tol wi'nski)
- Petrosjan L. A., Tomskiui G. V. {Differentsial'nye igry s nepolnoui informatsieui }. (Russian) [Differential games with incomplete information] Irkutcydot sk. Gos. Univ., Irkutsk, 1984. 188 pp. (Reviewer: Andrei V. Panteleyev)
- Petrosjan L. A. Classification of dynamically stable solutions in cooperative differential games. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1986, no. 7, 24-35, 87. (Reviewer: Bolesl aw Tol wi'nski)
- Petrosjan L. A., Danilov N. N. {Kooperativnye differentsial'nye igry i ikh prilozheniya}. (Russian) [Cooperative differential games and their applications] Tomsk. Gos. Univ., Tomsk, 1985. 276 pp. (Reviewer: J. M. Skowro'nski)
- Petrosjan L. A., Skitovich V. V. Search for a fixed object on a sphere. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1986, vyp. 1, 54-58, 134.
- Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential, multistage, noncooperative and hierarchical games, 26-41, 139, Kalinin. Gos. Univ., Kalinin, 1985. (Reviewer: Claudia Simionescu-Badea)
- Petrosjan L. A., Zenkevich N.A. Dynamic models of search under conditions of conflict. (Russian) Control of dynamical systems, 97-108, 204, Voprosy Mekh. Protsess. Upravl., 7, Leningrad. Univ., Leningrad, 1984.
- Petrosjan L. A. Simultaneous search game and random distribution of points on a plane. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1985, vyp. 1, 31-35, 121.
- Petrosjan L. A., Imbert Kh. T. On the determination of the characteristic function of a treelike hierarchical game. (Russian) Hierarchical, multistage, differential games and their applications, 68-73, 139, Kalinin. Gos. Univ., Kalinin, 1984.
- {Upravlenie dinamicheskimi sistemami}. (Russian) [Control of dynamical systems] Edited by V. I. Zubov and L. A. Petrosjan. {Voprosy Mekhaniki i Protsessov Upravleniya} [Questions of Mechanics and Control Processes], 7. Leningrad. Univ., Leningrad, 1984. 208 pp.
- Petrosjan L. A., Danilov, N. N. A game theoretic model for carrying out a joint project. Engrg. Cybernetics 22 (1984), no. 3, 66-71 (1985); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1984, no. 2,84-90, 204 (Russian)
- Petrosjan L. A. Differential games. Current state and problems. (Russian) Multistep, differential, noncooperative and cooperative games, 26-31, Kalinin. Gos. Univ., Kalinin, 1983.
- Petrosjan L. A., Zakharov V. V. Dynamic game-theoretic model of regional development. (Russian) Multistep, differential, noncooperative and cooperative games, 31-39, Kalinin. Gos. Univ., Kalinin, 1983.
- Petrosjan L. A. Mathematical models of a controllable ecological equilibrium. (Russian) Mathematical methods of optimization and control in complex systems, 78-86, Kalinin. Gos. Univ., Kalinin, 1983. (Reviewer: K. Smitalova)
- Petrosjan L. A. New directions in differential game theory. (Russian) Game theory and its applications, 3-22, Kemer. Gos. Univ., Kemerovo, 1983.
- {Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1983. 153 pp.
- Petrosjan L. A., Tomskiui G. V. {Geometriya prostogo presledovaniya}. (Russian) [Geometry of simple pursuit] ``Nauka Sibirsk. Otdel., Novosibirsk, 1983. 143 pp. (Reviewer: E. G. Alcprime brekht)
- Petrosjan L. A., Tomskiy G. V. Dynamic games. Engrg. Cybernetics 21 (1983), no. 2, 24-38 (1984); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1983, no. 2,33-50 (Russian)
- Petrosjan L. A. Differential search games. Reduction to dynamic games with complete information. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1983, vyp. 2, 26-30.
- Petrosjan L. A., Shiryaev V. D. Simple pursuit by one pursuer of two pursued. (Russian) Some questions of differential and integral equations and their applications, No. 3, 103-108, Yakutsk. Gos. Univ., Yakutsk, 1978.
- Petrosjan L. A., Tomskiu i G. V. Dynamic games with complete information and their applications to games with incomplete information. (Russian) Differentsialcprime nye Uravneniya 18 (1982), no. 4, 593-599, 732.
- Petrosjan L. A., Tomskiui G. V. {Dinamicheskie igry i ikh prilozheniya}. (Russian) [Dynamic games and their applications] Leningrad. Univ., Leningrad, 1982. 252 pp. (Reviewer: O. A. Malafeev)
- Imbert T. Josue, Petrosjan L. A. Applications to economics of the theory of $n$-person games. (Spanish) Investigacion Oper. No. 28 (1979), 3-29 (loose errata).
- Petrosjan L.A. Solutions of $n$-person differential games. (Russian) Mat. Metody v Sotsial. Nauk.--Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 32-36, 83.
- Petrosjan L. A., Ulanov V. A. Dynamic games with an infinite number of players. Basic constructions. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1982, vyp. 2, 69-75, 126. (Reviewer: F. Szidarovszky)
- Petrosjan L. A., Slobodinskaya, T. V. Functional equations for a differential game with incomplete information. (Russian) Methods of mathematical analysis of controlled processes, pp. 183-197, 281, Voprosy Mekh. Protsess. Upravl., 4, Leningrad. Univ., Leningrad, 1981. (Reviewer: J. M. Skowro'nski)
- Petrosjan L.A., Imbert H. Some game-theoretic models of the functioning of rhombus-shaped structures. (Russian) Mat. Metody v Sotsial. Nauk.--Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 37-47, 83.
- Petrosjan L. A. Game-theoretic analysis of hierarchical control systems. (Russian) Sixth Conference on Mathematical Methods in Economics (Vitte, 1980) (German), pp. 42-45, Seminarberichte, 29, Humboldt Univ., Berlin, 1980.
- Petrosian L. A., Imbert J. E. A game-theoretic model with rhomboidal control structure. (Spanish) Investigacion Oper. 1 (1980), no. 1, 3-20.
- Petrosjan L. A., Zaharov V. V. A game-theoretic approach to the problem of protection of the environment. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1981, vyp. 1, 26-32, 119-120. 92A17
- Petrosjan L. A., Sirjaev V. D. Group pursuit game with several evaders and one pursuer. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1980, vyp. 3, 50-57, 130.
- Petrosjan L. A., Danilov N. N. Stability of the solutions in nonantagonistic differential games with transferable payoffs. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1979, vyp. 1, 52-59, 134. (Reviewer: A. B. Kurzhanskiui)
- Tyvsko N. M., Petrosjan L. A. Mathematical model for a tree-like hierarchical control structure. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 160-171, 191, Yakutcydot sk. Gos. Univ., Yakutsk, 1977.
- Tihonova I. F., Petuhova, N. V., Petrosjan L. A. A hierarchical model of planning industrial production. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 86-98, 190, Yakutcydot sk. Gos. Univ., Yakutsk, 1977.
- Slobodinskaja T. V., Petrosjan L. A. Antagonistic pursuit game with several participants and incomplete information. (Russian) Control of dynamical systems (Russian), pp. 195-213, 320, Leningrad. Univ., Leningrad, 1978.
- Petrosjan L. A. Nonantagonistic differential games. (Russian) Control of dynamical systems (Russian), pp. 173-181, 319, Leningrad. Univ., Leningrad, 1978.
- Zenkevich N. A., Petrosjan L. A. Differential games with discrete progression of information receiving by one of the players. (Russian) Control of dynamical systems (Russian), pp. 78-90, 314, Leningrad. Univ., Leningrad, 1978.
- Petrosjan L. A. Differential pursuit-evasion games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1972), 47-54, 146.
- Petrosjan L. A. Stability of the solutions in differential games with several players. (Russian) Vestnik Leningrad. Univ. 1977, no. 19 Mat. Mat. Meh. Astronom. vyp. 4, 46-52, 147. (Reviewer: Milan Medved)
- Petrosjan L. A. {Differentsialcprime nye igry presledovaniya.} (Russian) [Differential pursuit games] Izdat. Leningrad. Univ., Leningrad. 1977. 222 pp. (Reviewer: V. Komkov)
- Cistjakov S. V., Petrosjan L. A. An approach to the solution of pursuit games. (Russian) Vestnik Leningrad. Univ. 1977, no. 1 Mat. Meh. Astronom. vyp. 1, 77-82, 166. (Reviewer: E. G. Albreht)
- Slobodinskaja, T. V. Petrosjan L. A. Simultaneous pursuit games. (Russian) Mat. Metody v Social. Nauk.-Trudy Sem. Processy Optimal. Upravlenija II Sekcija Vyp. 5 (1975), 23-36. {Teoriya igr.} (Russian) [Game theory] First All-Union Conference on Game Theory, held in Erevan, November, 1968. Edited by N. N. Vorobcprime ev, A. A. Korbut, L. A. Petrosjan and E. B. Janovskaja. Izdat. Akad. Nauk Armjan. SSR, Erevan, 1973. 368 pp. (errata insert).
- Petrosjan L. A. A pursuit game with fixed duration and with delay of information for both players. (Russian) Current trends in game theory (Russian), pp. 109-114. Izdat. "Mokslas", Vilnius, 1976. (Reviewer: G. Zatiasvili)
- Beleevskiui M. M., Petrosjan L. A. The structure of an optimal strategy for the evader in a time-optimal pursuit game. (Russian) Vestnik Leningrad. Univ. No. 7 Mat. Meh. Astronom. Vyp. 2 (1975), 10-15, 169. (Reviewer: R. Petrovic)
- Beleevskiui M. M., Petrosjan L. A. Structure of the optimal strategy of the evader in a certain class of differential pursuit games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1974), 5-12, 169. (Reviewer: R. Petrovic)
- Petrosjan L. A. Pursuit games with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 227-233. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova)
- Petrosjan L. A. A certain pursuit game with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 223-226. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova)
- Petrosjan L. A. Erratum: "Differential games with complete information" (Problemy Kibernet. No. 27 (1973), 267-277). (Russian) Problemy Kibernet. No. 28 (1974), 280.
- Petrosjan L. A. Pursuit games with information lag for player $P$. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 8 (1973), no. 2, 93-101, 177. (Reviewer: O. Hajek)
- Petrosjan L. A. Differential games with complete information. (Russian) A collection consisting mainly of papers presented at the Second All-Union Conference on Problems of Theoretical Cybernetics (Novosibirsk, 1971). Problemy Kibernet. No. 27 (1973), 267-277, 295. (Reviewer: G. Zatiasvili)
- Malafeev O. A., Petrosjan L. A. A simple pursuit game in the plane with an obstacle. (Russian) Control systems, No. 9 (Russian), pp. 31-42. Inst. Mat. Inst. Kataliza Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk, 1971. (Reviewer: R. Petrovic)
- Petrosjan L. A. Topological games and their applications to pursuit problems. I. SIAM J. Control 10 (1972), 194-202. (Reviewer: J. H. Case)
- Petrosjan L. A. Games with a "life-line". The case of $l$-capture. SIAM J. Control 10 (1972), 40-47.
- Petrosjan L. A. Generalized solutions of differential games of survival. (Russian) Ekonom. i Mat. Metody 3 1967 420-425. (Reviewer: Author's review)
- Petrosjan L. A. Differential games with incomplete information. (Russian) Dokl. Akad. Nauk SSSR 195 1970 558-561. (Reviewer: F. M. Kirillova)
- Petrosjan L. A. Invariant center of pursuit in a certain class of nonlinear differential games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 4-5, 397-403. (Reviewer: A. Friedman)
- Petrosjan L. A. Topological games and their applications to pursuit problems. I. (Russian) Vestnik Leningrad. Univ. 24 1969 no. 19, 55-63. (Reviewer: A. Friedman)
- Petrosjan L.A., Kuzutin T.I. Games in Extensive Form: Optimality and Stability. St.Petersburg: St.Petersburg state university, 2000, 290 p.
- Dutkeviv C., Ju. G., Petrosjan L. A. Games "with life line". The case of $1$-capture. (Russian) Vestnik Leningrad. Univ. 24 1969 no. 13, 31-38. (Reviewer: Z. Vorel)
- Petrosjan L. A. A certain class of quality games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 3, 249-256. (Reviewer: J. M. Skowro'nski)
- Petrosjan L. A. Differentialspiele und Verfolgungsprobleme. (German) Wiss. Z. Techn. Univ. Dresden 17 1968 761-766.
- Petrosjan L. A. Differential games with independent movements. (Russian) Litovsk. Mat. Sb. 8 1968 127-136. (Reviewer: J. M. Skowro'nski)
- Souihet B. A., Petrosjan L. A. A set-theoretic approach to pursuit games. (Russian) Litovsk. Mat. Sb. 8 1968 371-380. (Reviewer: J. R. Isbell)
- Petrosjan L. A. Pursuit games "with life line". (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 76-85. (Reviewer: J. M. Skowro'nski)
- Petrosjan L. A. The applicability of Isaacs' technique of solution "in the small" to the solution "in the small" of certain pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 7, 66-70. (Reviewer: P. Sagirow)
- Petrosjan L. A. A certain invariant in differential pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 1, 42-51. (Reviewer: L. D. Berkovitz)
- Petrosjan L. A., Murzov, N. V. The $n$-person tug of war game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 125-129. (Reviewer: L. W. Neustadt)
- Petrosjan L. A. Another generalization of Kuhn's theorem. (Russian) 1967 Theory of games: Positional games (Russian) pp. 230-245 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell)
- Petrosjan L. A. A certain mapping in a family of differential pursuit games. (Russian) Dokl. Akad. Nauk SSSR 178 1968 34-37. (Reviewer: P. Sagirow)
- Petrosjan L. A. Signalling strategies and behavior strategies in a class of infinite positional games. (Russian) 1967 Theory of games: Positional games (Russian) pp. 221-229 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell)
- Petrosjan L. A. Dynamic pursuit game in the presence of friction forces. (Russian) Akad. Nauk Armjan. SSR Dokl. 44 1967 no. 1, 3-7. (Reviewer: P. Sagirow)
- Petrosjan L. A. "Life-line" pursuit games with several players. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 1 1966 no. 5, 331-340. (Reviewer: L. D. Berkovitz)
- Petrosjan L. A. Dispersal surfaces in a family of pursuit games. (Russian) Akad. Nauk Armjan. SSR Dokl. 43 1966 no. 4, 193-197. (Reviewer: L. D. Berkovitz)
- Petrosjan L. A., Murzov N. V. Dynamical pursuit game. (Russian) Dokl. Akad. Nauk SSSR 172 1967 1270-1272. (Reviewer: L. D. Berkovitz)
- Petrosjan L. A., Murzov N. V. Game-theoretic problems of mechanics. (Russian) Litovsk. Mat. Sb. 6 1966 423-433. (Reviewer: L. D. Berkovitz)
- Murzov N. V., Petrosjan L. A. Pulling-over differential game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 1, 106-112. (Reviewer: Z. Vorel)
- Petrosjan L. A. A game of pursuit on a half-plane. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 265-269. (Reviewer: A. Dvoretzky)
- Petrosjan L. A. On the reduction of the solution of a game of pursuit for survival to the solution of a Cauchy problem for a first-order partial differential equation. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 193-196. (Reviewer: D. A. Lee)
- Petrosjan L. A. Differential survival games with several players. (Russian) Dokl. Akad. Nauk SSSR 161 1965 285-287. (Reviewer: G. N. Raney)
- Petrosjan L. A. A family of differential survival games in the space $Rsp{n}$. (Russian) Dokl. Akad. Nauk SSSR 161 1965 52-54. (Reviewer: G. N. Raney)
- Petrosyan L. A., Kusyutin, D. V. On the stability of $epsilon$-equilibrium in the class of mixed strategies. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 3, 46-50 (1996).
- Petrosjan L. A. Characteristic functions of cooperative differential games. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 1, 38-42.
- Petrosjan L. A. Strongly time-consistent differential optimality principles. Vestnik St. Petersburg Univ. Math. 26 (1993), no. 4, 40-46.
- Petrosjan L. A. Determining evolutionarily stable strategies in dynamic games. Vestnik St. Petersburg Univ. Math. 29 (1996), no. 1, 55-60.
- Petrosjan L. A. Refinement of the Nash solution for games with perfect information. Advances in dynamic games and applications (Kanagawa, 1996), 269-277, Ann. Internat. Soc. Dynam. Games, 5, Birkhauser Boston, Boston, MA, 2000.
- Petrosjan L. A. Electing the directorial council. Dynamics and control (Sopron, 1995), 187-194, Stability Control Theory Methods Appl., 9, Gordon and Breach, Amsterdam, 1999.
- Petrosjan L. A. Time consistency of cooperative solutions in dynamic games. Nonlinear analysis and convex analysis (Niigata, 1998), 61-64, World Sci. Publishing, River Edge, NJ, 1999.
- Petrosjan L. A. Simple search games in a plane. (Russian) Investigations in the geometry of simple pursuit (Russian), 73-82, Yakutcydot sk. Gos. Univ., Yakutsk, 1991.
- Petrosjan L. A. Agreeable solutions in differential games. Game theory and applications, III, 91-103, Nova Sci. Publ., Commack, NY, 1997.
- Gauthier B., Petrosjan L. A. A game-theoretic model of the decision-making process within international economic organizations. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 15-25.
- Petrosjan L. A. Strongly time consistent optimality principles for the game with discount payoffs. System modelling and optimization (Compiegne, 1993), 513-520, Lecture Notes in Control and Inform. Sci., 197, Springer, London, 1994.
- Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Internat. Year-Book Game Theory Appl. 1 (1993), 47-53.
- Petrosjan L. A. Multicriterial dynamic optimization. Conference on Differential Equations and Applications (Ruse, 1989), 381-387, Tech. Univ., Ruse, 1991.
- Petrosjan L. A. On a search problem. (Russian) Problems in optimal control and operations research (Russian), 136-139, 199, Irkutcydot sk. Gos. Univ., Irkutsk, 1988.
- Petrosjan L. A. Games with dependent strategy sets. (Russian) Mathematical methods in the theory of computer-aided design systems, robots and systems (Russian), 26-31, Kalinin. Gos. Univ., Kalinin, 1988.
- Petrosjan L. A. Dynamic and strong dynamic stability of optimal decisions. VII Conference on Applied Mathematics (Osijek, 1989), 179-184, Univ. Osijek, Osijek, 1990.
- Petrosjan L. A. Mathematical-ecological models and hierarchical games. (Russian) Mathematical models for the rational use of the environment (Russian), 76-86, 142, "Nauka" Sibirsk. Otdel., Novosibirsk, 1989.
- Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential equations and applications, I, II (Russian) (Ruse, 1985), 317-320, `Angel Kanchev' Tech. Univ., Ruse, 1987.
- Petrosjan L.A.,Zaccour G. A Multistage supergame of downstream pollution. Advances in Dynamic Games and Applications, vol.5, 1999.
- Petrosjan L.A. Refinement of the Nash solution for games with perfect information.Advances in Dynamic Games and Applications, vol.5, 1999.
- Petrosjan L.A., Filar Dynamic cooperative games, International Game Theory Review, vol.2, N1, 2000.
- Petrosjan L.A., Villiger R. Time-consistent agreeable solurions in envirinment pollution game. Proceedings of the IFAC SME 2001 Conference, Klagenfurt, 2001.
- Petrosjan L.A. Electing of the directorial councel. Stability and Control, Methods and Applications, Vol. 9 Gordon and Breach Sci Pbl. 1999.
- Petrosjan L.A.,Ayoshin D. Values of dynamic games with partial cooperation, Papers of the institute of mathematics and mechanics,USC RAS, 1999 (in russian)
- Petrosjan L.A. Shevkoplyas E.V. Cooperative games with random duration, Viestnik of St.Petersburg Univ., ser.1,vol.4,2000
- Petrosjan L.A., Yeung D.W.K. Cooperative differential ames with uncertain payoffs. Viestnik of St.Petersburg Univ.,Vol.3, 2000. (in russian)
- Petrosjan L.A.,J.Puerto Folk theorems in multicriterial repeated games. Sociedad de Statistica e Investigation Operativa, Vol.10, N2, 2002.
- Petrosjan.L.A. Cooperative stochastic games. Proceedings of the 10th International Symposium on Dynamic Games and Applications, Vol.2.,2002
- Petrosjan L.A., Grauer L.V. Strong Nash equilibrium in multistage games. International Game Theory Review, 4(3) 2002.
- Petrosjan L.A., Grauer L.V. New class of solutions in multistege games with applications to "prisoners dilemma", Game Theory and Applications, Vol.8. 2002.
- Petrosjan L.A., Zaccour G. Time-consistent Shapley value allocation of pollution cost reduction. Journal of Economics and Control, 27, 2003.
Подробнее см. - [1].
Достижения
- доктор физико-математических наук
- профессор
- Иностранный Член НАН РА
Награды
- Орден Дружбы
- Медаль ордена «За заслуги перед Отечеством» II степени
- Благодарность Президента Российской Федерации
- Премия Р. Айзекса (International Society of Dynamic Games)
- В 1994 и 1997 годах ему присуждалась Государственная научная стипендия
Изображения
Книги
Разное
- Отец - Петросян Оганес Хачатурович, учился в медицинском институте, мать, Амбарцумян Гоар Амазасповна, работала доцентом на математико-механическом факультете ЛГУ.
- Дядя, со стороны матери - Виктор Амазаспович Амбарцумян.
- Мартирос Сарьян нарисовал портрет 17-летнего Леона, когда гостил в Бюракане. Юноша (он тогда закончил первый курс Ереванского университета) часто ходил с художником в горы, таскал треногу и мольберт знаменитого мастера. «Он тогда гостил у моего дедушки. Сарьян нарисовал тогда портрет моей бабушки и подарил ей. А мой портрет не подарил, себе оставил — говорит, что очень хорошо получилось.» Портрет юного Леона Петросяна входит в экспозицию дома-музея М.Сарьяна в Ереване.
Библиография
- Кафедра математической теории игр и статистических решений
- Математик. Путешественник. Фотограф
- Петросян Леон Аганесович
- Публичная библиотека
- Санкт-Петербургский государственный университет ФАКУЛЬТЕТ ПРИКЛАДНОЙ МАТЕМАТИКИ - ПРОЦЕССОВ УПРАВЛЕНИЯ
- [2]
Контакты
- E-mail: lapetr@apmath.spbu.ru