A Pursuit Game in a Closed Convex Set on a Euclidean Space
This paper studies a pursuit differential game in a closed convex subset of the Euclidean space R n . Players of the game consist of finite number of pursuers chasing to catch a single evader both of which moves according to certain first order differential equation. The differential equations invol...
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Veröffentlicht in: | Differential equations and dynamical systems 2024, Vol.32 (4), p.1215-1224 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | This paper studies a pursuit differential game in a closed convex subset of the Euclidean space
R
n
.
Players of the game consist of finite number of pursuers chasing to catch a single evader both of which moves according to certain first order differential equation. The differential equations involve control functions through which players make their inputs in the game. Each of the player’s control function is subject to the coordinate-wise integral constraint. Pursuers are deemed to catch the evader when the geometric position of at least one pursuer coincides with that of the evader. We describe strategies of the pursuers in phases and give formula for computing the time span of each phase. Moreover, we provide and conditions that ensure evader’s catch. |
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ISSN: | 0971-3514 0974-6870 |
DOI: | 10.1007/s12591-022-00621-y |