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Simple motion pursuit and evasion differential games with many pursuers on manifolds with Euclidean metric


Kuchkarov, Atamurat Shamuratovich and Ibragimov, Gafurjan and Ferrara, Massimiliano (2016) Simple motion pursuit and evasion differential games with many pursuers on manifolds with Euclidean metric. Discrete Dynamics in Nature and Society, 2016. art. no. 1386242. pp. 1-8. ISSN 1026-0226; ESSN: 1607-887X


We consider pursuit and evasion differential games of a group of m pursuers and one evader on manifolds with Euclidean metric. The motions of all players are simple, and maximal speeds of all players are equal. If the state of a pursuer coincides with that of the evader at some time, we say that pursuit is completed. We establish that each of the differential games (pursuit or evasion) is equivalent to a differential game of m groups of countably many pursuers and one group of countably many evaders in Euclidean space. All the players in any of these groups are controlled by one controlled parameter. We find a condition under which pursuit can be completed, and if this condition is not satisfied, then evasion is possible. We construct strategies for the pursuers in pursuit game which ensure completion the game for a finite time and give a formula for this time. In the case of evasion game, we construct a strategy for the evader.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2016/1386242
Publisher: Hindawi Publishing Corporation
Keywords: Differential games; Pursuit; Evasion; Strategy; Pursuers; Evaders
Depositing User: Nabilah Mustapa
Date Deposited: 01 Aug 2017 08:55
Last Modified: 01 Aug 2017 08:55
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2016/1386242
URI: http://psasir.upm.edu.my/id/eprint/56540
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