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Pursuit-evasion differential game with many inertial players


Citation

Ibragimov, Gafurjan I. and Salimi, Mehdi (2009) Pursuit-evasion differential game with many inertial players. Mathematical Problems in Engineering, 2009. art. no. 653723. pp. 1-15. ISSN 1024-123X; ESSN: 1563-5147

Abstract

We consider pursuit-evasion differential game of countable number inertial players in Hilbert space with integral constraints on the control functions of players. Duration of the game is fixed. The payoff functional is the greatest lower bound of distances between the pursuers and evader when the game is terminated. The pursuers try to minimize the functional, and the evader tries to maximize it. In this paper, we find the value of the game and construct optimal strategies of the players.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2009/653723
Publisher: Hindawi Publishing Corporation
Keywords: Differential game; Control; Strategy; Value of the game
Depositing User: Najwani Amir Sariffudin
Date Deposited: 24 Apr 2013 10:33
Last Modified: 09 May 2017 09:42
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2009/653723
URI: http://psasir.upm.edu.my/id/eprint/16398
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