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Sufficient conditions for evasion in a linear differential game.

We study a linear evasion differential game in R2. Control sets of players, the pursuer and the evader, are compact subsets of R2. The terminal set of the game is the origin. The game is considered to be completed if the state of the system, z(t), reaches the origin. If z(t) never reaches the origin...

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Main Authors: Ibragimov, Gafurjan, Umrzakov, Nodir
Format: Article
Language:English
English
Published: Canadian Center of Science and Education 2011
Online Access:http://psasir.upm.edu.my/id/eprint/25076/1/Sufficient%20conditions%20for%20evasion%20in%20a%20linear%20differential%20game.pdf
http://psasir.upm.edu.my/id/eprint/25076/
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spelling my.upm.eprints.250762015-09-22T07:06:47Z http://psasir.upm.edu.my/id/eprint/25076/ Sufficient conditions for evasion in a linear differential game. Ibragimov, Gafurjan Umrzakov, Nodir We study a linear evasion differential game in R2. Control sets of players, the pursuer and the evader, are compact subsets of R2. The terminal set of the game is the origin. The game is considered to be completed if the state of the system, z(t), reaches the origin. If z(t) never reaches the origin, then we say that evasion is possible in the game. We obtained weaker conditions for evasion than conditions obtained by other researches. We give some illustrative examples which show the advantage of our conditions. Canadian Center of Science and Education 2011-11 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25076/1/Sufficient%20conditions%20for%20evasion%20in%20a%20linear%20differential%20game.pdf Ibragimov, Gafurjan and Umrzakov, Nodir (2011) Sufficient conditions for evasion in a linear differential game. Journal of Mathematics Research, 3 (4 ). pp. 168-173. ISSN 1916-9795 http://web.ccsenet.org/ 10.5539/jmr.v3n4p168 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 We study a linear evasion differential game in R2. Control sets of players, the pursuer and the evader, are compact subsets of R2. The terminal set of the game is the origin. The game is considered to be completed if the state of the system, z(t), reaches the origin. If z(t) never reaches the origin, then we say that evasion is possible in the game. We obtained weaker conditions for evasion than conditions obtained by other researches. We give some illustrative examples which show the advantage of our conditions.
format Article
author Ibragimov, Gafurjan
Umrzakov, Nodir
spellingShingle Ibragimov, Gafurjan
Umrzakov, Nodir
Sufficient conditions for evasion in a linear differential game.
author_facet Ibragimov, Gafurjan
Umrzakov, Nodir
author_sort Ibragimov, Gafurjan
title Sufficient conditions for evasion in a linear differential game.
title_short Sufficient conditions for evasion in a linear differential game.
title_full Sufficient conditions for evasion in a linear differential game.
title_fullStr Sufficient conditions for evasion in a linear differential game.
title_full_unstemmed Sufficient conditions for evasion in a linear differential game.
title_sort sufficient conditions for evasion in a linear differential game.
publisher Canadian Center of Science and Education
publishDate 2011
url http://psasir.upm.edu.my/id/eprint/25076/1/Sufficient%20conditions%20for%20evasion%20in%20a%20linear%20differential%20game.pdf
http://psasir.upm.edu.my/id/eprint/25076/
http://web.ccsenet.org/
_version_ 1643828551900725248
score 13.18916

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