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Pursuit and Evasion Games for an Infinite System of Differential Equations

Pursuit and Evasion Games for an Infinite System of Differential Equations 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

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References (40)

Publisher
Springer Journals
Copyright
Copyright © Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2021
ISSN
0126-6705
eISSN
2180-4206
DOI
10.1007/s40840-021-01176-x
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer Journals

Published: Jan 1, 2022

Keywords: Differential game; Pursuit; Control; Strategy; Infinite system of differential equations; Primary: 91A23; Secondary: 49N75

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