Citation
Ibragimov, Gafurjan and Ahatjonovich, Anvarjon Ahmedov and Puteri Nur Izzati, and Abdul Manaf, Nur'azah
(2017)
Pursuit differential game described by infinite first order 2-systems of differential equations.
Malaysian Journal of Mathematical Sciences, 11 (2).
pp. 181-190.
ISSN 1823-8343; ESSN: 2289-750X
Abstract
We study a pursuit differential game problem for infinite first order 2-systems of differential equations in the Hilbert space l2. Geometric constraints are imposed on controls of players. If the state of system coincides with the origin, then we say that pursuit is completed. In the game, pursuer tries to complete the game, while the aim of evader is opposite. The problem is to find a formula for guaranteed pursuit time. In the present paper, an equation for guaranteed pursuit time is obtained. Moreover, a strategy for the pursuer is constructed in explicit form. To prove the main result, we use solution of a control problem.
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Official URL or Download Paper: http://einspem.upm.edu.my/journal/fullpaper/vol112...
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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; Infinite system; Pursuer; Evader; Geometric constraint; Control; Strategy |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 01 Aug 2017 08:54 |
| Last Modified: | 01 Aug 2017 08:54 |
| URI: | http://psasir.upm.edu.my/id/eprint/56531 |
| Statistic Details: | View Download Statistic |
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