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

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 st...

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Main Authors: Ibragimov, Gafurjan I., Khakestari, Marzieh, Kuchkarov, Atamurat
Format: Article
Language:English
English
Published: Institut Teknologi Bandung 2012
Online Access:http://psasir.upm.edu.my/id/eprint/25074/1/Solution%20of%20a%20linear%20pursuit.pdf
http://psasir.upm.edu.my/id/eprint/25074/
http://www.itb.ac.id/
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spelling my.upm.eprints.250742015-09-22T06:38:06Z http://psasir.upm.edu.my/id/eprint/25074/ Solution of a linear pursuit-evasion differential game with closed and convex terminal set. Ibragimov, Gafurjan I. Khakestari, Marzieh Kuchkarov, Atamurat 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. Institut Teknologi Bandung 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25074/1/Solution%20of%20a%20linear%20pursuit.pdf 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 http://www.itb.ac.id/ 10.5614/itbj.sci.2012.44.1.1 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description 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.
format Article
author Ibragimov, Gafurjan I.
Khakestari, Marzieh
Kuchkarov, Atamurat
spellingShingle Ibragimov, Gafurjan I.
Khakestari, Marzieh
Kuchkarov, Atamurat
Solution of a linear pursuit-evasion differential game with closed and convex terminal set.
author_facet Ibragimov, Gafurjan I.
Khakestari, Marzieh
Kuchkarov, Atamurat
author_sort Ibragimov, Gafurjan I.
title Solution of a linear pursuit-evasion differential game with closed and convex terminal set.
title_short Solution of a linear pursuit-evasion differential game with closed and convex terminal set.
title_full Solution of a linear pursuit-evasion differential game with closed and convex terminal set.
title_fullStr Solution of a linear pursuit-evasion differential game with closed and convex terminal set.
title_full_unstemmed Solution of a linear pursuit-evasion differential game with closed and convex terminal set.
title_sort solution of a linear pursuit-evasion differential game with closed and convex terminal set.
publisher Institut Teknologi Bandung
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/25074/1/Solution%20of%20a%20linear%20pursuit.pdf
http://psasir.upm.edu.my/id/eprint/25074/
http://www.itb.ac.id/
_version_ 1643828551315619840
score 13.211869

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