A simple motion differential game with different constraints on controls and under phase constraint on the state of the evader
We consider a simple motion pursuit differential game of one pursuer and one evader. Control of the pursuer is subjected to integral constraint, and that of the evader is subjected to geometric constraint. More precisely, value of control parameter of the evader belongs to a given convex subset of ℝ...
Main Authors: | , |
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Format: | Conference or Workshop Item |
Language: | English |
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AIP Publishing
2016
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Online Access: | http://psasir.upm.edu.my/id/eprint/57199/1/A%20simple%20motion%20differential%20game%20with%20different%20constraints%20on%20controls%20and%20under%20phase%20constraint%20on%20the%20state%20of%20the%20evader.pdf |
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author | Rakhmanov, Askar Ibragimov, Gafurjan |
author_facet | Rakhmanov, Askar Ibragimov, Gafurjan |
author_sort | Rakhmanov, Askar |
collection | UPM |
description | We consider a simple motion pursuit differential game of one pursuer and one evader. Control of the pursuer is subjected to integral constraint, and that of the evader is subjected to geometric constraint. More precisely, value of control parameter of the evader belongs to a given convex subset of ℝn. Pursuit is completed if the evader becomes in l vicinity of the pursuer. Sufficient conditions of completion of pursuit are obtained. |
first_indexed | 2024-03-06T09:28:40Z |
format | Conference or Workshop Item |
id | upm.eprints-57199 |
institution | Universiti Putra Malaysia |
language | English |
last_indexed | 2024-03-06T09:28:40Z |
publishDate | 2016 |
publisher | AIP Publishing |
record_format | dspace |
spelling | upm.eprints-571992017-09-08T10:29:51Z http://psasir.upm.edu.my/id/eprint/57199/ A simple motion differential game with different constraints on controls and under phase constraint on the state of the evader Rakhmanov, Askar Ibragimov, Gafurjan We consider a simple motion pursuit differential game of one pursuer and one evader. Control of the pursuer is subjected to integral constraint, and that of the evader is subjected to geometric constraint. More precisely, value of control parameter of the evader belongs to a given convex subset of ℝn. Pursuit is completed if the evader becomes in l vicinity of the pursuer. Sufficient conditions of completion of pursuit are obtained. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57199/1/A%20simple%20motion%20differential%20game%20with%20different%20constraints%20on%20controls%20and%20under%20phase%20constraint%20on%20the%20state%20of%20the%20evader.pdf Rakhmanov, Askar and Ibragimov, Gafurjan (2016) A simple motion differential game with different constraints on controls and under phase constraint on the state of the evader. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. . 10.1063/1.4952543 |
spellingShingle | Rakhmanov, Askar Ibragimov, Gafurjan A simple motion differential game with different constraints on controls and under phase constraint on the state of the evader |
title | A simple motion differential game with different constraints on controls and under phase constraint on the state of the evader |
title_full | A simple motion differential game with different constraints on controls and under phase constraint on the state of the evader |
title_fullStr | A simple motion differential game with different constraints on controls and under phase constraint on the state of the evader |
title_full_unstemmed | A simple motion differential game with different constraints on controls and under phase constraint on the state of the evader |
title_short | A simple motion differential game with different constraints on controls and under phase constraint on the state of the evader |
title_sort | simple motion differential game with different constraints on controls and under phase constraint on the state of the evader |
url | http://psasir.upm.edu.my/id/eprint/57199/1/A%20simple%20motion%20differential%20game%20with%20different%20constraints%20on%20controls%20and%20under%20phase%20constraint%20on%20the%20state%20of%20the%20evader.pdf |
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