Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane
We study a differential game of many pursuers and one evader in the plane. It is assumed that the pursuers and evader move is allowed within a non empty closed convex set in the plane. Control functions of players are subject to coordinate-wise integral constraints. The game is over when the state o...
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| Format: | Article |
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Accademia Peloritana dei Pericolanti
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/62895/ |
| _version_ | 1848854686492262400 |
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| author | Ferrara, Massimiliano Gafurjan, Ibragimov Salimi, Mehdi |
| author_facet | Ferrara, Massimiliano Gafurjan, Ibragimov Salimi, Mehdi |
| author_sort | Ferrara, Massimiliano |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We study a differential game of many pursuers and one evader in the plane. It is assumed that the pursuers and evader move is allowed within a non empty closed convex set in the plane. Control functions of players are subject to coordinate-wise integral constraints. The game is over when the state of the evader y coincides with that of a pursuer xi, i = {1, ... , m} at given time ti (unspecified), i.e., xi(ti) = y(ti). We obtain conditions under which the game is over in finite time, no matter where the players start from. Moreover, we construct winning for the pursuers. |
| first_indexed | 2025-11-15T11:13:49Z |
| format | Article |
| id | upm-62895 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T11:13:49Z |
| publishDate | 2017 |
| publisher | Accademia Peloritana dei Pericolanti |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-628952022-11-24T04:34:38Z http://psasir.upm.edu.my/id/eprint/62895/ Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane Ferrara, Massimiliano Gafurjan, Ibragimov Salimi, Mehdi We study a differential game of many pursuers and one evader in the plane. It is assumed that the pursuers and evader move is allowed within a non empty closed convex set in the plane. Control functions of players are subject to coordinate-wise integral constraints. The game is over when the state of the evader y coincides with that of a pursuer xi, i = {1, ... , m} at given time ti (unspecified), i.e., xi(ti) = y(ti). We obtain conditions under which the game is over in finite time, no matter where the players start from. Moreover, we construct winning for the pursuers. Accademia Peloritana dei Pericolanti 2017-11 Article PeerReviewed Ferrara, Massimiliano and Gafurjan, Ibragimov and Salimi, Mehdi (2017) Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane. Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali, 95 (2). pp. 1-6. ISSN 1825-1242 https://cab.unime.it/journals/index.php/AAPP/article/view/AAPP.952A6 10.1478/AAPP.952A6 |
| spellingShingle | Ferrara, Massimiliano Gafurjan, Ibragimov Salimi, Mehdi Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane |
| title | Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane |
| title_full | Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane |
| title_fullStr | Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane |
| title_full_unstemmed | Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane |
| title_short | Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane |
| title_sort | pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane |
| url | http://psasir.upm.edu.my/id/eprint/62895/ http://psasir.upm.edu.my/id/eprint/62895/ http://psasir.upm.edu.my/id/eprint/62895/ |