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Relative optimal evasion time in the differential game of three pursuers and one evader in the plane.

We study a simple-motion pursuit-evasion differential game problem of three pursuers and one evader in the plane. All players have equal dynamical possibilities. The initial position of the evader is in the convex hull of the initial positions of the pursuers. All pursuers use the strategy of parall...

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Main Authors: Ibragimov, Gafurjan, Suleiman, Mohamed
Format: Conference or Workshop Item
Language:English
English
Online Access:http://psasir.upm.edu.my/id/eprint/27704/1/ID%2027704.pdf
http://psasir.upm.edu.my/id/eprint/27704/
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spelling my.upm.eprints.277042014-06-18T00:57:13Z http://psasir.upm.edu.my/id/eprint/27704/ Relative optimal evasion time in the differential game of three pursuers and one evader in the plane. Ibragimov, Gafurjan Suleiman, Mohamed We study a simple-motion pursuit-evasion differential game problem of three pursuers and one evader in the plane. All players have equal dynamical possibilities. The initial position of the evader is in the convex hull of the initial positions of the pursuers. All pursuers use the strategy of parallel approach. The differential game is considered completed if the state of a pursuer coincides with that of the evader. It was shown by Pshenichnii that pursuit can be completed in this differential game. We consider a differential game problem where the evader tries to maximize the guaranteed evasion time. In this paper, we obtained an explicit formula for the relative optimal evasion time and constructed a strategy for the evader. Conference or Workshop Item NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/27704/1/ID%2027704.pdf Ibragimov, Gafurjan and Suleiman, Mohamed Relative optimal evasion time in the differential game of three pursuers and one evader in the plane. In: 2nd Regional Conference on Applied and Engineering Mathematics, 30-31 May 2012, Penang, Malaysia. . 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 simple-motion pursuit-evasion differential game problem of three pursuers and one evader in the plane. All players have equal dynamical possibilities. The initial position of the evader is in the convex hull of the initial positions of the pursuers. All pursuers use the strategy of parallel approach. The differential game is considered completed if the state of a pursuer coincides with that of the evader. It was shown by Pshenichnii that pursuit can be completed in this differential game. We consider a differential game problem where the evader tries to maximize the guaranteed evasion time. In this paper, we obtained an explicit formula for the relative optimal evasion time and constructed a strategy for the evader.
format Conference or Workshop Item
author Ibragimov, Gafurjan
Suleiman, Mohamed
spellingShingle Ibragimov, Gafurjan
Suleiman, Mohamed
Relative optimal evasion time in the differential game of three pursuers and one evader in the plane.
author_facet Ibragimov, Gafurjan
Suleiman, Mohamed
author_sort Ibragimov, Gafurjan
title Relative optimal evasion time in the differential game of three pursuers and one evader in the plane.
title_short Relative optimal evasion time in the differential game of three pursuers and one evader in the plane.
title_full Relative optimal evasion time in the differential game of three pursuers and one evader in the plane.
title_fullStr Relative optimal evasion time in the differential game of three pursuers and one evader in the plane.
title_full_unstemmed Relative optimal evasion time in the differential game of three pursuers and one evader in the plane.
title_sort relative optimal evasion time in the differential game of three pursuers and one evader in the plane.
url http://psasir.upm.edu.my/id/eprint/27704/1/ID%2027704.pdf
http://psasir.upm.edu.my/id/eprint/27704/
_version_ 1643829255880048640
score 13.211869

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