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Contributions to Game Theory and Management, 2011, том 4, страницы 154–171
(Mi cgtm185)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Numerical Study of a Linear Differential Game with Two Pursuers and One Evader
Sergey S. Ganebnya, Sergey S. Kumkova, Stéphane Le Ménecb, Valerii S. Patskoa a Institute of Mathematics and Mechanics,
S. Kovalevskaya str., 16, Ekaterinburg, 620990, Russia
b EADS/MBDA France, 1 avenue Réaumur, 92358 Le Plessis-Robinson Cedex, France
Аннотация:
A linear pursuit-evasion differential game with two pursuers and one evader is considered. The pursuers try to minimize the final miss (an ideal situation is to get exact capture), the evader counteracts them. Two case are investigated. In the first case, each one pursuer is dynamically stronger than the evader, in the second one, they are weaker. Results of numerical study of value function level sets (Lebesgue sets) for these cases are given. A method for constructing optimal feedback controls is suggested on the basis of switching lines. Results of numerical simulation are shown.
Ключевые слова:
pursuit-evasion differential game, linear dynamics, value function, optimal feedback control.
Образец цитирования:
Sergey S. Ganebny, Sergey S. Kumkov, Stéphane Le Ménec, Valerii S. Patsko, “Numerical Study of a Linear Differential Game with Two Pursuers and One Evader”, Contributions to Game Theory and Management, 4 (2011), 154–171
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cgtm185 https://www.mathnet.ru/rus/cgtm/v4/p154
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Страница аннотации: | 170 | PDF полного текста: | 103 | Список литературы: | 44 |
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