Fixed duration pursuit-evasion differential game with integral constraints

Citation

Ibragimov, Gafurjan and Kuchkarov, Atamurat Shamuratovich (2013) Fixed duration pursuit-evasion differential game with integral constraints. Journal of Physics: Conference Series, 435. art. no. 012017. pp. 1-11. ISSN 1742-6588

Abstract

We investigate a pursuit-evasion differential game of countably many pursuers and one evader. Integral constraints are imposed on control functions of the players. Duration of the game is fixed and the payoff of the game is infimum of the distances between the evader and pursuers when the game is completed. Purpose of the pursuers is to minimize the payoff and that of the evader is to maximize it. Optimal strategies of the players are constructed, and the value of the game is found. It should be noted that energy resource of any pursuer may be less than that of the evader.

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Additional Metadata

Item Type:	Article
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1088/1742-6596/435/1/012017
Publisher:	Institute of Physics Publishing
Keywords:	Control functions; Differential games; Integral constraints; Optimal strategies; Pursuit evasion.
Depositing User:	Umikalthom Abdullah
Date Deposited:	04 Jul 2014 03:28
Last Modified:	22 Sep 2015 00:49
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1088/1742-6596/435/1/012017
URI:	http://psasir.upm.edu.my/id/eprint/30170
Statistic Details:	View Download Statistic

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