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A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions


Citation

Ibragimov, Gafurjan and Tukhtasinov, Muminjon and Mat Hasim, Risman and Alias, Idham Arif (2015) A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions. Malaysian Journal of Mathematical Sciences, 9 (1). pp. 67-76. ISSN 1823-8343; ESSN: 2289-750X

Abstract

We consider a pursuit differential game of one pursuer and one evader described by infinite system of first order differential equations. The coordinate-wise integral constraints are imposed on control functions of players. By definition pursuit is said to be completed if the state of system equals zero at some time. A sufficient condition of completion of pursuit is obtained. Strategy for the pursuer is constructed and an explicit formula for the guaranteed pursuit time is given.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Keywords: Differential game; Hilbert space; Infinite system; Pursuit; Evasion; Strategy
Depositing User: Nabilah Mustapa
Date Deposited: 21 Jun 2015 01:59
Last Modified: 30 Aug 2015 10:06
URI: http://psasir.upm.edu.my/id/eprint/36236
Statistic Details: View Download Statistic

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