Effective pursuit strategies in simple motion differential game of three pursuers and one evader
We consider a simple motion pursuit differential game of three pursuers and one evader with equal dynamic possibilities in the plane. Geometric constraints are imposed on the controls of players and the control set of each player is unit circle centered at the origin. Pursuit is said to be completed...
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| Format: | Article |
| Language: | English |
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Academic Publications
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/54069/ http://psasir.upm.edu.my/id/eprint/54069/1/Effective%20pursuit%20strategies%20in%20simple%20motion%20differential%20game%20of%20three%20pursuers%20and%20one%20evader.pdf |
| _version_ | 1848852446101635072 |
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| author | Ibragimov, Gafurjan Yunus, Sofiah Alias, Idham Arif |
| author_facet | Ibragimov, Gafurjan Yunus, Sofiah Alias, Idham Arif |
| author_sort | Ibragimov, Gafurjan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We consider a simple motion pursuit differential game of three pursuers and one evader with equal dynamic possibilities in the plane. Geometric constraints are imposed on the controls of players and the control set of each player is unit circle centered at the origin. Pursuit is said to be completed if the state of at least one of the pursuers coincides with that of evader. In this paper, we construct a new effective strategy for the pursuers. We prove that new strategy has advantage over the P-strategy. |
| first_indexed | 2025-11-15T10:38:12Z |
| format | Article |
| id | upm-54069 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:38:12Z |
| publishDate | 2016 |
| publisher | Academic Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-540692018-02-27T06:19:47Z http://psasir.upm.edu.my/id/eprint/54069/ Effective pursuit strategies in simple motion differential game of three pursuers and one evader Ibragimov, Gafurjan Yunus, Sofiah Alias, Idham Arif We consider a simple motion pursuit differential game of three pursuers and one evader with equal dynamic possibilities in the plane. Geometric constraints are imposed on the controls of players and the control set of each player is unit circle centered at the origin. Pursuit is said to be completed if the state of at least one of the pursuers coincides with that of evader. In this paper, we construct a new effective strategy for the pursuers. We prove that new strategy has advantage over the P-strategy. Academic Publications 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/54069/1/Effective%20pursuit%20strategies%20in%20simple%20motion%20differential%20game%20of%20three%20pursuers%20and%20one%20evader.pdf Ibragimov, Gafurjan and Yunus, Sofiah and Alias, Idham Arif (2016) Effective pursuit strategies in simple motion differential game of three pursuers and one evader. International Journal of Pure and Applied Mathematics, 111 (3). pp. 409-417. ISSN 1311-8080; ESSN: 1314-3395 Differential game; Many pursuers; Evader; Control; Strategy 10.12732/ijpam.v111i3.6 |
| spellingShingle | Differential game; Many pursuers; Evader; Control; Strategy Ibragimov, Gafurjan Yunus, Sofiah Alias, Idham Arif Effective pursuit strategies in simple motion differential game of three pursuers and one evader |
| title | Effective pursuit strategies in simple motion differential game of three pursuers and one evader |
| title_full | Effective pursuit strategies in simple motion differential game of three pursuers and one evader |
| title_fullStr | Effective pursuit strategies in simple motion differential game of three pursuers and one evader |
| title_full_unstemmed | Effective pursuit strategies in simple motion differential game of three pursuers and one evader |
| title_short | Effective pursuit strategies in simple motion differential game of three pursuers and one evader |
| title_sort | effective pursuit strategies in simple motion differential game of three pursuers and one evader |
| topic | Differential game; Many pursuers; Evader; Control; Strategy |
| url | http://psasir.upm.edu.my/id/eprint/54069/ http://psasir.upm.edu.my/id/eprint/54069/ http://psasir.upm.edu.my/id/eprint/54069/1/Effective%20pursuit%20strategies%20in%20simple%20motion%20differential%20game%20of%20three%20pursuers%20and%20one%20evader.pdf |