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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| Format: | Article |
| Language: | English English |
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Canadian Center of Science and Education
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25076/ http://psasir.upm.edu.my/id/eprint/25076/1/Sufficient%20conditions%20for%20evasion%20in%20a%20linear%20differential%20game.pdf |
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| author | Ibragimov, Gafurjan Umrzakov, Nodir |
| author_facet | Ibragimov, Gafurjan Umrzakov, Nodir |
| author_sort | Ibragimov, Gafurjan |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T08:43:12Z |
| format | Article |
| id | upm-25076 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:43:12Z |
| publishDate | 2011 |
| publisher | Canadian Center of Science and Education |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Ibragimov, Gafurjan Umrzakov, Nodir Sufficient conditions for evasion in a linear differential game. |
| title | 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_short | Sufficient conditions for evasion in a linear differential game. |
| title_sort | sufficient conditions for evasion in a linear differential game. |
| url | http://psasir.upm.edu.my/id/eprint/25076/ http://psasir.upm.edu.my/id/eprint/25076/ http://psasir.upm.edu.my/id/eprint/25076/ http://psasir.upm.edu.my/id/eprint/25076/1/Sufficient%20conditions%20for%20evasion%20in%20a%20linear%20differential%20game.pdf |