Pursuit differential game problem with multiple players on a closed convex set with more general integral constraints
In this paper, we study a pursuit differential game with many but finite number of pursuers and evaders on a closed convex subset K of Rn. Players’ motion obey ordinary differential equations and confined within the set K throughout the game. Control functions of the players are subject to general i...
| Main Authors: | , , , |
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| Format: | Article |
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The Mathematical Association of Thailand
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/87367/ |
| _version_ | 1848860427174281216 |
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| author | Ahmed, Idris Kumam, Wiyada Ibragimov, Gafurjan Rilwan, Jewaidu |
| author_facet | Ahmed, Idris Kumam, Wiyada Ibragimov, Gafurjan Rilwan, Jewaidu |
| author_sort | Ahmed, Idris |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we study a pursuit differential game with many but finite number of pursuers and evaders on a closed convex subset K of Rn. Players’ motion obey ordinary differential equations and confined within the set K throughout the game. Control functions of the players are subject to general integral constraints respectively. We obtain sufficient conditions for completion of pursuit. Moreover, pursuers’ strategies that ensure completion of pursuit in a finite time are constructed. |
| first_indexed | 2025-11-15T12:45:03Z |
| format | Article |
| id | upm-87367 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T12:45:03Z |
| publishDate | 2020 |
| publisher | The Mathematical Association of Thailand |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-873672024-06-12T07:50:53Z http://psasir.upm.edu.my/id/eprint/87367/ Pursuit differential game problem with multiple players on a closed convex set with more general integral constraints Ahmed, Idris Kumam, Wiyada Ibragimov, Gafurjan Rilwan, Jewaidu In this paper, we study a pursuit differential game with many but finite number of pursuers and evaders on a closed convex subset K of Rn. Players’ motion obey ordinary differential equations and confined within the set K throughout the game. Control functions of the players are subject to general integral constraints respectively. We obtain sufficient conditions for completion of pursuit. Moreover, pursuers’ strategies that ensure completion of pursuit in a finite time are constructed. The Mathematical Association of Thailand 2020 Article PeerReviewed Ahmed, Idris and Kumam, Wiyada and Ibragimov, Gafurjan and Rilwan, Jewaidu (2020) Pursuit differential game problem with multiple players on a closed convex set with more general integral constraints. Thai Journal of Mathematics, 18 (2). 551 - 561. ISSN 1686-0209 https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/issue/view/61 |
| spellingShingle | Ahmed, Idris Kumam, Wiyada Ibragimov, Gafurjan Rilwan, Jewaidu Pursuit differential game problem with multiple players on a closed convex set with more general integral constraints |
| title | Pursuit differential game problem with multiple players on a closed convex set with more general integral constraints |
| title_full | Pursuit differential game problem with multiple players on a closed convex set with more general integral constraints |
| title_fullStr | Pursuit differential game problem with multiple players on a closed convex set with more general integral constraints |
| title_full_unstemmed | Pursuit differential game problem with multiple players on a closed convex set with more general integral constraints |
| title_short | Pursuit differential game problem with multiple players on a closed convex set with more general integral constraints |
| title_sort | pursuit differential game problem with multiple players on a closed convex set with more general integral constraints |
| url | http://psasir.upm.edu.my/id/eprint/87367/ http://psasir.upm.edu.my/id/eprint/87367/ |