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Solution of a linear pursuit-evasion differential game with closed and convex terminal set.


Citation

Ibragimov, Gafurjan I. and Khakestari, Marzieh and Kuchkarov, Atamurat (2012) Solution of a linear pursuit-evasion differential game with closed and convex terminal set. ITB Journal of Science, 44A (1). pp. 1-12. ISSN 1978-3043

Abstract / Synopsis

A linear two-person zero-sum pursuit-evasion differential game is considered. Control functions of players are subject to integral constraints. Terminal set is a closed convex subset of The Pursuer tries to bring the state of the system to the terminal set and the Evader prevents bringing of the state to the terminal set where control resource of the Pursuer is greater than that of Evader. We obtain a formula for the optimal pursuit time and construct optimal strategies of the players in explicit form.


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Official URL: http://www.itb.ac.id/

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.5614/itbj.sci.2012.44.1.1
Publisher: Institut Teknologi Bandung
Keywords: Differential game; Control; Strategy; Pursuit-evasion.
Depositing User: Nur Farahin Ramli
Date Deposited: 25 Jul 2013 11:29
Last Modified: 22 Sep 2015 14:38
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.5614/itbj.sci.2012.44.1.1
URI: http://psasir.upm.edu.my/id/eprint/25074
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