Pursuit and Evasion Games for an Infinite System of Differential Equations

被引：0
|
作者：
Gafurjan Ibragimov
Massimiliano Ferrara
Idham Arif Alias
Mehdi Salimi
Nurzeehan Ismail
机构：
[1] Universiti Putra Malaysia,Department of Mathematics and Institute for Mathematical Research
[2] University Mediterranea of Reggio Calabria,Department of Law, Economics and Human Sciences
[3] University Mediterranea of Reggio Calabria,Department of Law, Economics and Human Sciences and Decisions Lab
[4] ICRIOS - The Invernizzi Centre for Research in Innovation,Department of Management and Technology
[5] Organization,Department of Mathematics & Statistics
[6] Strategy and Entrepreneurship Bocconi University,undefined
[7] St.Francis Xavier University,undefined
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2022年 / 45卷
关键词：
Differential game; Pursuit; Control; Strategy; Infinite system of differential equations; Primary: 91A23; Secondary: 49N75;
D O I：
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学科分类号：
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.
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页码：69 / 81
页数：12
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