Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.5539/jmr.v3n4p168 |
| Publisher: | Canadian Center of Science and Education |
| Keywords: | Differential game; Control; Strategy; Evasion. |
| Depositing User: | Nur Farahin Ramli |
| Date Deposited: | 25 Jul 2013 03:46 |
| Last Modified: | 22 Sep 2015 07:06 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.5539/jmr.v3n4p168 |
| URI: | http://psasir.upm.edu.my/id/eprint/25076 |
| Statistic Details: | View Download Statistic |
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