Simple motion evasion differential game of many pursuers and evaders with integral constraints
We study a simple motion evasion differential game of many pursuers and evaders. Control functions of players are subjected to integral constraints. If the state of at least one evader does not coincide with that of any pursuer forever, then evasion is said to be possible in the game. The aim of the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Birkhaeuser Science
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/73891/ http://psasir.upm.edu.my/id/eprint/73891/1/Simple%20motion%20evasion%20differential%20game.pdf |
| _version_ | 1848857389205291008 |
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| author | Ibragimov, Gafurjan Ferrara, Massimiliano Kuchkarov, Atamurat Pansera, Bruno Antonio |
| author_facet | Ibragimov, Gafurjan Ferrara, Massimiliano Kuchkarov, Atamurat Pansera, Bruno Antonio |
| author_sort | Ibragimov, Gafurjan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We study a simple motion evasion differential game of many pursuers and evaders. Control functions of players are subjected to integral constraints. If the state of at least one evader does not coincide with that of any pursuer forever, then evasion is said to be possible in the game. The aim of the group of evaders is to construct their strategies so that evasion can be possible in the game and the aim of the group of pursuers is opposite. The problem is to find a sufficient condition of evasion. If the total energy of pursuers is less than or equal to that of evaders, then it is proved that evasion is possible, and moreover, evasion strategies are constructed explicitly. |
| first_indexed | 2025-11-15T11:56:46Z |
| format | Article |
| id | upm-73891 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:56:46Z |
| publishDate | 2018 |
| publisher | Birkhaeuser Science |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-738912022-05-17T08:44:10Z http://psasir.upm.edu.my/id/eprint/73891/ Simple motion evasion differential game of many pursuers and evaders with integral constraints Ibragimov, Gafurjan Ferrara, Massimiliano Kuchkarov, Atamurat Pansera, Bruno Antonio We study a simple motion evasion differential game of many pursuers and evaders. Control functions of players are subjected to integral constraints. If the state of at least one evader does not coincide with that of any pursuer forever, then evasion is said to be possible in the game. The aim of the group of evaders is to construct their strategies so that evasion can be possible in the game and the aim of the group of pursuers is opposite. The problem is to find a sufficient condition of evasion. If the total energy of pursuers is less than or equal to that of evaders, then it is proved that evasion is possible, and moreover, evasion strategies are constructed explicitly. Birkhaeuser Science 2018-06 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/73891/1/Simple%20motion%20evasion%20differential%20game.pdf Ibragimov, Gafurjan and Ferrara, Massimiliano and Kuchkarov, Atamurat and Pansera, Bruno Antonio (2018) Simple motion evasion differential game of many pursuers and evaders with integral constraints. Dynamic Games and Applications, 8 (2). 352 - 378. ISSN 2153-0785; ESSN: 2153-0793 https://link.springer.com/article/10.1007/s13235-017-0226-6 10.1007/s13235-017-0226-6 |
| spellingShingle | Ibragimov, Gafurjan Ferrara, Massimiliano Kuchkarov, Atamurat Pansera, Bruno Antonio Simple motion evasion differential game of many pursuers and evaders with integral constraints |
| title | Simple motion evasion differential game of many pursuers and evaders with integral constraints |
| title_full | Simple motion evasion differential game of many pursuers and evaders with integral constraints |
| title_fullStr | Simple motion evasion differential game of many pursuers and evaders with integral constraints |
| title_full_unstemmed | Simple motion evasion differential game of many pursuers and evaders with integral constraints |
| title_short | Simple motion evasion differential game of many pursuers and evaders with integral constraints |
| title_sort | simple motion evasion differential game of many pursuers and evaders with integral constraints |
| url | http://psasir.upm.edu.my/id/eprint/73891/ http://psasir.upm.edu.my/id/eprint/73891/ http://psasir.upm.edu.my/id/eprint/73891/ http://psasir.upm.edu.my/id/eprint/73891/1/Simple%20motion%20evasion%20differential%20game.pdf |