On a linear differential game of optimal approach of many pursuers with one evader

Citation

Kuchkarov, Atamurat Shamuratovich and Ibragimov, Gafurjan and Khakestari, Marzieh (2013) On a linear differential game of optimal approach of many pursuers with one evader. Journal of Dynamical and Control Systems, 19 (1). pp. 1-15. ISSN 1079-2724; ESSN: 1573-8698

Abstract

We consider a differential game of approach of many pursuers and one evader. The motions of all players are described by linear systems of the same type. Control functions of players are subject to integral constraints. The duration of the game is fixed. The payoff functional of the differential game is the minimum of the distances between the evader and the pursuers when the game terminates. The pursuers try to minimize the payoff functional, and the evader tries to maximize it. We obtain estimates for the payoff functional of the game, which can be guaranteed by players and explicitly describe the strategies of the players. From here we obtain that in some specific cases the value of the game exists, and optimal strategies can be constructed. An illustrative example is considered.

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Additional Metadata

Item Type:	Article
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1007/s10883-013-9161-z
Publisher:	Springer
Keywords:	Control; Evader; Payoff functional; Programmed maximin; Pursuer; Strategy
Depositing User:	Umikalthom Abdullah
Date Deposited:	04 Jul 2014 02:46
Last Modified:	18 Sep 2015 02:02
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s10883-013-9161-z
URI:	http://psasir.upm.edu.my/id/eprint/30168
Statistic Details:	View Download Statistic

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