Simple Motion Evasion Differential Game of Many Pursuers and Evaders with Integral Constraints

被引：0
作者：
Gafurjan Ibragimov
Massimiliano Ferrara
Atamurat Kuchkarov
Bruno Antonio Pansera
机构：
[1] Universiti Putra Malaysia,Department of Mathematics, Institute for Mathematical Research
[2] University Mediterranea of Reggio Calabria,Department of Law and Economics
[3] Bocconi University,ICRIOS
[4] National University of Uzbekistan,Institute of Mathematics
来源：
Dynamic Games and Applications | 2018年 / 8卷
关键词：
Differential game; Many pursuers; Many evaders; Integral constraint; Evasion; Strategy; Primary 91A23; Secondary 49N75;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study a simple motion evasion differential game of many pursuers and evaders. Control functions of players are subjected to integral constraints. If the state of at least one evader does not coincide with that of any pursuer forever, then evasion is said to be possible in the game. The aim of the group of evaders is to construct their strategies so that evasion can be possible in the game and the aim of the group of pursuers is opposite. The problem is to find a sufficient condition of evasion. If the total energy of pursuers is less than or equal to that of evaders, then it is proved that evasion is possible, and moreover, evasion strategies are constructed explicitly.
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页码：352 / 378
页数：26
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