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...

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Main Authors: Rakhmanov, Askar, Ibragimov, Gafurjan
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
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.
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format Conference or Workshop Item
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institution Universiti Putra Malaysia
language English
last_indexed 2024-03-06T09:28:40Z
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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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