On a Fixed Duration Pursuit Differential Game with Geometric and Integral Constraints

被引：0
作者：
Mehdi Salimi
Gafurjan I. Ibragimov
Stefan Siegmund
Somayeh Sharifi
机构：
[1] Technische Universität Dresden,Center for Dynamics and Institute for Analysis, Department of Mathematics
[2] Universiti Putra Malaysia (UPM),Department of Mathematics and Institute for Mathematical Research
[3] Islamic Azad University,Young Researchers and Elite Club, Hamedan Branch
来源：
Dynamic Games and Applications | 2016年 / 6卷
关键词：
Differential game; Pursuer; Evader; Strategy ; Value of the game;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we investigate a differential game in which countably many dynamical objects pursue a single one. All the players perform simple motions. The duration of the game is fixed. The controls of a group of pursuers are subject to integral constraints, and the controls of the other pursuers and the evader are subject to geometric constraints. The payoff of the game is the distance between the evader and the closest pursuer when the game is terminated. We construct optimal strategies for players and find the value of the game.
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页码：409 / 425
页数：16
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