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...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English English |
| Online Access: | http://psasir.upm.edu.my/id/eprint/27704/1/ID%2027704.pdf |
| _version_ | 1825947175746535424 |
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| author | Ibragimov, Gafurjan Suleiman, Mohamed |
| author_facet | Ibragimov, Gafurjan Suleiman, Mohamed |
| author_sort | Ibragimov, Gafurjan |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T08:09:12Z |
| format | Conference or Workshop Item |
| id | upm.eprints-27704 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T08:09:12Z |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Ibragimov, Gafurjan Suleiman, Mohamed Relative optimal evasion time in the differential game of three pursuers and one evader in the plane. |
| title | 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_short | 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 |
| work_keys_str_mv | AT ibragimovgafurjan relativeoptimalevasiontimeinthedifferentialgameofthreepursuersandoneevaderintheplane AT suleimanmohamed relativeoptimalevasiontimeinthedifferentialgameofthreepursuersandoneevaderintheplane |