On game value for a pursuit-evasion differential game with state and integral constraints

被引：3

作者：

Sharifi, Somayeh ^{[1
]}

Badakaya, Abbas Ja'afaru ^{[2
]}

Salimi, Mehdi ^{[3
,4
]}

机构：

[1] Tech Univ Dresden, Inst Numer Math, D-01062 Dresden, Germany

[2] Bayero Univ, Dept Math Sci, Kano, Nigeria

[3] St Francis Xavier Univ, Dept Math & Stat, Antigonish, NS, Canada

[4] Tech Univ Dresden, Fac Math, Ctr Dynam, D-01062 Dresden, Germany

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2022年 / 39卷 / 02期

关键词：

Pursuit-evasion games; Dynamical systems; The value of the game;

D O I：

10.1007/s13160-022-00501-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A pursuit-evasion differential game of countably many pursuers and one evader is investigated. Integral constraints are imposed on the control functions of the players. Duration of the game is fixed, and the payoff functional is the greater lower bound of distances between the pursuers and evader when the game is completed. The pursuers want to minimize, and the evader to maximize the payoff. In this paper, we find the value of the game and construct optimal strategies for the players.

引用

页码：653 / 668

页数：16

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