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Linear discrete pursuit game with phase constraints


Raxmanov, Asqar and Ibragimov, Gafurjan (2014) Linear discrete pursuit game with phase constraints. The Scientific World Journal, 2014. art. no. 435103. pp. 1-5. ISSN 2356-6140; ESSN: 1537-744X


We consider a linear pursuit game of one pursuer and one evader whose motions are described by different-type linear discrete systems. Position of the evader satisfies phase constraints: , where is a subset of . We considered two cases: (1) controls of the players satisfy geometric constraints, and (2) controls of the players satisfy total constraints. Terminal set is a subset of and it is assumed to have a nonempty interior. Game is said to be completed if at some step ; thus, the evader has not the right to leave set . To construct the control of the pursuer, at each step , we use the value of the control parameter of the evader at the step . We obtain sufficient conditions of completion of pursuit from certain initial positions of the players in finite time interval and construct a control for the pursuer in explicit form.

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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2014/435103
Publisher: Hindawi Publishing Corporation
Keywords: Linear discrete pursuit game; Linear pursuit game
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 15 Dec 2015 01:31
Last Modified: 15 Dec 2015 01:31
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/435103
URI: http://psasir.upm.edu.my/id/eprint/34384
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