Citation
Ibragimov, Gafurjan and Mat Hasim, Risman and Rakhmanov, Askar and Alias, Idham Arif
(2016)
Optimal pursuit time in differential game for an infinite system of differential equations.
Malaysian Journal of Mathematical Sciences, 10 (spec. Aug.).
pp. 267-277.
ISSN 1823-8343; ESSN: 2289-750X
Abstract
We consider a differential game of one pursuer and one evader. The game is described by an infinite system of first order differential equations. Control functions of the players are subject to coordinate-wise integral constraints. Game is said to be completed if each component of state vector equal to zero at some unspecified time. The pursuer tries to complete the game and the evader pursues the opposite goal. A formula for optimal pursuit time is found and optimal strategies of players are constructed.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| Publisher: | Institute for Mathematical Research, Universiti Putra Malaysia |
| Notes: | Special issue: The 7th International Conference on Research and Education in Mathematics (ICREM7) |
| Keywords: | Infinite system of differential equations; Pursuer; Evader; Strategy; Optimal pursuit time |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 06 Jun 2017 08:16 |
| Last Modified: | 06 Jun 2017 08:16 |
| URI: | http://psasir.upm.edu.my/id/eprint/52382 |
| Statistic Details: | View Download Statistic |
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