Pursuit differential game of many pursuers with integral constraints on compact convex set
We study a pursuit differential game of many pursuers and one evader in the plane. We are given a compact convex subset of, and the pursuers and evader move in this set. They cannot leave this set during the game. Control functions of players are subject to coordinate-wise integral constraints. If t...
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| Format: | Article |
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Springer Nature
2019
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| _version_ | 1811137516310364160 |
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| author | Ferrara, Massimiliano Ibragimov, Gafurjan Alias, Idham Arif Salimi, Mehdi |
| author_facet | Ferrara, Massimiliano Ibragimov, Gafurjan Alias, Idham Arif Salimi, Mehdi |
| author_sort | Ferrara, Massimiliano |
| collection | UPM |
| description | We study a pursuit differential game of many pursuers and one evader in the plane. We are given a compact convex subset of, and the pursuers and evader move in this set. They cannot leave this set during the game. Control functions of players are subject to coordinate-wise integral constraints. If the state of a pursuer coincides with that of evader at some time, then we say that pursuit is completed. Pursuers try to complete the pursuit, and the aim of the evader is opposite. We obtain some conditions under which pursuit can be completed from any positions of the players in the given set. Moreover, we construct strategies for the pursuers. Also, we prove some properties of convex sets. |
| first_indexed | 2024-09-25T03:35:32Z |
| format | Article |
| id | upm.eprints-87366 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-09-25T03:35:32Z |
| publishDate | 2019 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | upm.eprints-873662024-06-11T03:39:45Z http://psasir.upm.edu.my/id/eprint/87366/ Pursuit differential game of many pursuers with integral constraints on compact convex set Ferrara, Massimiliano Ibragimov, Gafurjan Alias, Idham Arif Salimi, Mehdi We study a pursuit differential game of many pursuers and one evader in the plane. We are given a compact convex subset of, and the pursuers and evader move in this set. They cannot leave this set during the game. Control functions of players are subject to coordinate-wise integral constraints. If the state of a pursuer coincides with that of evader at some time, then we say that pursuit is completed. Pursuers try to complete the pursuit, and the aim of the evader is opposite. We obtain some conditions under which pursuit can be completed from any positions of the players in the given set. Moreover, we construct strategies for the pursuers. Also, we prove some properties of convex sets. Springer Nature 2019 Article PeerReviewed Ferrara, Massimiliano and Ibragimov, Gafurjan and Alias, Idham Arif and Salimi, Mehdi (2019) Pursuit differential game of many pursuers with integral constraints on compact convex set. Bulletin of the Malaysian Mathematical Sciences Society, 43 (4). 2929 - 2950. ISSN 0126-6705; ESSN: 2180-4206 https://link.springer.com/article/10.1007/s40840-019-00844-3 10.1007/s40840-019-00844-3 |
| spellingShingle | Ferrara, Massimiliano Ibragimov, Gafurjan Alias, Idham Arif Salimi, Mehdi Pursuit differential game of many pursuers with integral constraints on compact convex set |
| title | Pursuit differential game of many pursuers with integral constraints on compact convex set |
| title_full | Pursuit differential game of many pursuers with integral constraints on compact convex set |
| title_fullStr | Pursuit differential game of many pursuers with integral constraints on compact convex set |
| title_full_unstemmed | Pursuit differential game of many pursuers with integral constraints on compact convex set |
| title_short | Pursuit differential game of many pursuers with integral constraints on compact convex set |
| title_sort | pursuit differential game of many pursuers with integral constraints on compact convex set |
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