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Contributions to Game Theory and Management, 2012 Volume 5, Pages 83–96 (Mi cgtm149)

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.

Language: English



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