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Linear discrete pursuit game problem with total constraints


Citation

Kuchkarov, Atamurat and Ibragimov, Gafurjan and Sotvoldiev, Akmal (2013) Linear discrete pursuit game problem with total constraints. Abstract and Applied Analysis, 2013. art. no. 840925. pp. 1-5. ISSN 1085-3375; ESSN: 1687-0409

Abstract

We study a linear discrete pursuit game problem of one pursuer and one evader. Control vectors of the players are subjected to total constraints which are discrete analogs of the integral constraints. By definition pursuit can be completed in the game if there exists a strategy of the pursuer such that for any control of the evader the state of system z(t) reaches the origin at some time. We obtain sufficient conditions of completion of the game from any initial position of the state space. Strategy of the pursuer is defined as a function of the current state of system and value of control parameter of the evader.


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Official URL or Download Paper: http://www.hindawi.com/journals/aaa/2013/840925/

Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
Faculty of Science
DOI Number: https://doi.org/10.1155/2013/840925
Publisher: Hindawi Publishing Corporation
Keywords: Linear discrete; Discrete game; Control; Pursuit
Depositing User: Umikalthom Abdullah
Date Deposited: 24 Jun 2014 03:42
Last Modified: 19 Oct 2017 09:38
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/840925
URI: http://psasir.upm.edu.my/id/eprint/30065
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