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Evasion differential game of two pursuers and one evader with coordinate-wise integral constraints


Citation

Karapanan, Piriatharisini and Ibragimov, Gafurjan and Alias, Idham Arif (2017) Evasion differential game of two pursuers and one evader with coordinate-wise integral constraints. International Journal of Pure and Applied Mathematics, 114 (4). pp. 759-770. ISSN 1311-8080; ESSN: 1314-3395

Abstract

An evasion differential game of two pursuers and one evader in R2 is studied. Unlike the traditional integral constraints, in the present work, integral constraints are imposed on each component of control functions of the players. By definition, evasion is said to be possible if the state of a pursuer does not coincide with that of the evader for all t ≥ 0. Sufficient conditions of evasion are obtained and then strategies for the evader are constructed.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Academic Publications
Keywords: Control; Coordinate-wise integral constraint; Differential game; Evasion; Strategy
Depositing User: Nabilah Mustapa
Date Deposited: 03 Aug 2017 04:04
Last Modified: 03 Aug 2017 04:04
URI: http://psasir.upm.edu.my/id/eprint/56562
Statistic Details: View Download Statistic

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