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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Official URL or Download Paper: http://einspem.upm.edu.my/journal/fullpaper/vol9/5...
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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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