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Linear pursuit differential game under phase constraint on the state of evader


Rakhmanov, Askar and Ibragimov, Gafurjan and Ferrara, Massimiliano (2016) Linear pursuit differential game under phase constraint on the state of evader. Discrete Dynamics in Nature and Society, 2016. art. no. 1289456. pp. 1-6. ISSN 1026-0226; ESSN: 1607-887X


We consider a linear pursuit differential game of one pursuer and one evader. Controls of the pursuer and evader are subjected to integral and geometric constraints, respectively. In addition, phase constraint is imposed on the state of evader, whereas pursuer moves throughout the space. We say that pursuit is completed, if inclusion y(t1) - x(t1) ϵ M is satisfied at some t1 > 0, where x(t) and y(t) are states of pursuer and evader, respectively, and M is terminal set. Conditions of completion of pursuit in the game from all initial points of players are obtained. Strategy of the pursuer is constructed so that the phase vector of the pursuer first is brought to a given set, and then pursuit is completed.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2016/1289456
Publisher: Hindawi Publishing Corporation
Keywords: Linear pursuit differential game; Evader; Pursuer; Phase constraint
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=10.1155/2016/1289456
URI: http://psasir.upm.edu.my/id/eprint/56537
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