Pursuit and Evasion Games for an Infinite System of Differential Equations

被引：8

作者：

Ibragimov, Gafurjan ^{[1
,2
,3
]}

Ferrara, Massimiliano ^{[4
,5
]}

Alias, Idham Arif ^{[1
,2
]}

Salimi, Mehdi ^{[6
]}

Ismail, Nurzeehan ^{[1
,2
]}

机构：

[1] Univ Putra Malaysia, Dept Math, Serdang, Malaysia

[2] Univ Putra Malaysia, Inst Math Res, Serdang, Malaysia

[3] Univ Mediterranea Reggio Calabria, Dept Law Econ & Human Sci, Calabria, Italy

[4] Univ Mediterranea Reggio Calabria, Dept Law, Econ & Human Sci & Decis Lab, Calabria, Italy

[5] Bocconi Univ, Dept Management & Technol, ICRIOS Invernizzi Ctr Res Innovat Org Strategy &, Milan, Italy

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

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2022年 / 45卷 / 01期

关键词：

Differential game; Pursuit; Control; Strategy; Infinite system of differential equations; TIME;

D O I：

10.1007/s40840-021-01176-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study a linear pursuit differential game described by an infinite system of first-order differential equations in Hilbert space. The control functions of players are subject to geometric constraints. The pursuer attempts to bring the state of system from a given initial state to the origin for a finite time and the evader's purpose is opposite. We obtain a formula for the guaranteed pursuit time and construct a strategy for pursuer. Also, we obtain a formula for the guaranteed evasion time.

引用

页码：69 / 81

页数：13

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