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Effective pursuit strategies in simple motion differential game of three pursuers and one evader


Citation

Ibragimov, Gafurjan and Yunus, Sofiah and Alias, Idham Arif (2016) Effective pursuit strategies in simple motion differential game of three pursuers and one evader. International Journal of Pure and Applied Mathematics, 111 (3). pp. 409-417. ISSN 1311-8080; ESSN: 1314-3395

Abstract

We consider a simple motion pursuit differential game of three pursuers and one evader with equal dynamic possibilities in the plane. Geometric constraints are imposed on the controls of players and the control set of each player is unit circle centered at the origin. Pursuit is said to be completed if the state of at least one of the pursuers coincides with that of evader. In this paper, we construct a new effective strategy for the pursuers. We prove that new strategy has advantage over the P-strategy.


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Additional Metadata

Item Type: Article
Subject: Differential game; Many pursuers; Evader; Control; Strategy
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.12732/ijpam.v111i3.6
Publisher: Academic Publications
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 27 Feb 2018 06:19
Last Modified: 27 Feb 2018 06:19
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.12732/ijpam.v111i3.6
URI: http://psasir.upm.edu.my/id/eprint/54069
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