On a fixed duration pursuit differential game with geometric and integral constraints
In this paper we investigate a differential game in which countably many dynamical objects pursue a single one. All the players perform simple motions. The duration of the game is fixed. The controls of a group of pursuers are subject to integral constraints, and the controls of the other pursuers a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/56544/ http://psasir.upm.edu.my/id/eprint/56544/1/On%20a%20fixed%20duration%20pursuit%20differential%20game%20with%20geometric%20and%20integral%20constraints.pdf |
| _version_ | 1848853113311592448 |
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| author | Salimi, Mehdi Ibragimov, Gafurjan Ismailovich Siegmund, Stefan Sharifi, Somayeh |
| author_facet | Salimi, Mehdi Ibragimov, Gafurjan Ismailovich Siegmund, Stefan Sharifi, Somayeh |
| author_sort | Salimi, Mehdi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper we investigate a differential game in which countably many dynamical objects pursue a single one. All the players perform simple motions. The duration of the game is fixed. The controls of a group of pursuers are subject to integral constraints, and the controls of the other pursuers and the evader are subject to geometric constraints. The payoff of the game is the distance between the evader and the closest pursuer when the game is terminated. We construct optimal strategies for players and find the value of the game. |
| first_indexed | 2025-11-15T10:48:48Z |
| format | Article |
| id | upm-56544 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:48:48Z |
| publishDate | 2016 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-565442017-08-01T08:55:45Z http://psasir.upm.edu.my/id/eprint/56544/ On a fixed duration pursuit differential game with geometric and integral constraints Salimi, Mehdi Ibragimov, Gafurjan Ismailovich Siegmund, Stefan Sharifi, Somayeh In this paper we investigate a differential game in which countably many dynamical objects pursue a single one. All the players perform simple motions. The duration of the game is fixed. The controls of a group of pursuers are subject to integral constraints, and the controls of the other pursuers and the evader are subject to geometric constraints. The payoff of the game is the distance between the evader and the closest pursuer when the game is terminated. We construct optimal strategies for players and find the value of the game. Springer 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/56544/1/On%20a%20fixed%20duration%20pursuit%20differential%20game%20with%20geometric%20and%20integral%20constraints.pdf Salimi, Mehdi and Ibragimov, Gafurjan Ismailovich and Siegmund, Stefan and Sharifi, Somayeh (2016) On a fixed duration pursuit differential game with geometric and integral constraints. Dynamic Games and Applications, 6 (3). pp. 409-425. ISSN 2153-0785; ESSN: 2153-0793 https://rd.springer.com/article/10.1007/s13235-015-0161-3 10.1007/s13235-015-0161-3 |
| spellingShingle | Salimi, Mehdi Ibragimov, Gafurjan Ismailovich Siegmund, Stefan Sharifi, Somayeh On a fixed duration pursuit differential game with geometric and integral constraints |
| title | On a fixed duration pursuit differential game with geometric and integral constraints |
| title_full | On a fixed duration pursuit differential game with geometric and integral constraints |
| title_fullStr | On a fixed duration pursuit differential game with geometric and integral constraints |
| title_full_unstemmed | On a fixed duration pursuit differential game with geometric and integral constraints |
| title_short | On a fixed duration pursuit differential game with geometric and integral constraints |
| title_sort | on a fixed duration pursuit differential game with geometric and integral constraints |
| url | http://psasir.upm.edu.my/id/eprint/56544/ http://psasir.upm.edu.my/id/eprint/56544/ http://psasir.upm.edu.my/id/eprint/56544/ http://psasir.upm.edu.my/id/eprint/56544/1/On%20a%20fixed%20duration%20pursuit%20differential%20game%20with%20geometric%20and%20integral%20constraints.pdf |