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Contributions to Game Theory and Management, 2012, Volume 5, Pages 83–96
(Mi cgtm149)
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Differential Game Model with Two Pursuers and One Evader
Sergey A. Ganebnya, Sergey S. Kumkova, Stéphane Le Ménecb, Valerii S. Patskoa a Institute of Mathematics and Mechanics, Ural Branch,
Russian Academy of Sciences, S. Kovalevskaya str., 16, Ekaterinburg, 620990, Russia
b EADS/MBDA France, 1 avenue Réaumur, 92358 Le Plessis-Robinson Cedex, France
Abstract:
An antagonistic differential game is considered where motion occurs in a straight line. Deviations between the first and second pursuers and the evader are computed at the instants $T_1$ and $T_2$, respectively. The pursuers act in coordination. Their aim is to minimize the resultant miss, which is equal to the minimum of the deviations happened at the instants $T_1$ and $T_2$. Numerical study of value function level sets (Lebesgue sets) for qualitatively different cases is given.
Keywords:
pursuit-evasion differential game, linear dynamics, value function.
Citation:
Sergey A. Ganebny, Sergey S. Kumkov, Stéphane Le Ménec, Valerii S. Patsko, “Differential Game Model with Two Pursuers and One Evader”, Contributions to Game Theory and Management, 5 (2012), 83–96
Linking options:
https://www.mathnet.ru/eng/cgtm149 https://www.mathnet.ru/eng/cgtm/v5/p83
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