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An evasion differential game described by an infinite system of 2-systems of second order.


Citation

Ibragimov, Gafurjan I. and Allahabi, Fateh (2011) An evasion differential game described by an infinite system of 2-systems of second order. International Journal of Pure and Applied Mathematics, 70 (4). pp. 491-501. ISSN 1311-8080

Abstract

We study a differential game of many pursuers described by infinite systems of second order ordinary differential equations. Controls of players are subjected to geometric constraints. Differential game is considered in Hilbert spaces. We say that evasion is possible if ||zi(t)||r+1 + ||z˙i(t)||r 6= 0 for all i = 1, ...,m, and t > 0; m is the number of pursuers. We proved one theorem on evasion. Moreover, we constructed explicitly a control of the evader.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Academic Publications
Keywords: Differential game; Control; Strategy; Evasion.
Depositing User: Nur Farahin Ramli
Date Deposited: 21 Aug 2013 09:11
Last Modified: 23 Sep 2015 07:52
URI: http://psasir.upm.edu.my/id/eprint/24907
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