Construction of strategies of pursuers in a differential game of many players with state and integral constraints
The approach of a group of controlled objects, the pursuers, to another one, the evaders, is considered. The motions of all the objects are described by simple differential equations. The control functions of players are subjected to integral constraints. The amount of control resources such as fuel...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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Springer Singapore
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/39835/ http://psasir.upm.edu.my/id/eprint/39835/1/Construction%20of%20strategies%20of%20pursuers%20in%20a%20differential%20game%20of%20many%20players%20with%20state%20and%20integral%20constraints.pdf |
| _version_ | 1848849255003848704 |
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| author | Ibragimov, Gafurjan Rahmanov, Asqar Alias, Idham Arif |
| author_facet | Ibragimov, Gafurjan Rahmanov, Asqar Alias, Idham Arif |
| author_sort | Ibragimov, Gafurjan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The approach of a group of controlled objects, the pursuers, to another one, the evaders, is considered. The motions of all the objects are described by simple differential equations. The control functions of players are subjected to integral constraints. The amount of control resources such as fuel, energy etc. are described by such constraints. Given a non-empty convex subset of Rn all objects move in this set. If the position of each evader yj , j ∈ {1, 2, ..., k}, coincides with the position of a pursuer xi, i ∈ {1, ..., m}, at some time tj , i.e. xi(tj ) = yj (tj ), then we say that pursuit can be completed. The total resource of the pursuers is assumed to be greater than that of the evaders. We show that pursuit can be completed in this differential game. |
| first_indexed | 2025-11-15T09:47:29Z |
| format | Conference or Workshop Item |
| id | upm-39835 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:47:29Z |
| publishDate | 2013 |
| publisher | Springer Singapore |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-398352017-08-24T08:26:37Z http://psasir.upm.edu.my/id/eprint/39835/ Construction of strategies of pursuers in a differential game of many players with state and integral constraints Ibragimov, Gafurjan Rahmanov, Asqar Alias, Idham Arif The approach of a group of controlled objects, the pursuers, to another one, the evaders, is considered. The motions of all the objects are described by simple differential equations. The control functions of players are subjected to integral constraints. The amount of control resources such as fuel, energy etc. are described by such constraints. Given a non-empty convex subset of Rn all objects move in this set. If the position of each evader yj , j ∈ {1, 2, ..., k}, coincides with the position of a pursuer xi, i ∈ {1, ..., m}, at some time tj , i.e. xi(tj ) = yj (tj ), then we say that pursuit can be completed. The total resource of the pursuers is assumed to be greater than that of the evaders. We show that pursuit can be completed in this differential game. Springer Singapore 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/39835/1/Construction%20of%20strategies%20of%20pursuers%20in%20a%20differential%20game%20of%20many%20players%20with%20state%20and%20integral%20constraints.pdf Ibragimov, Gafurjan and Rahmanov, Asqar and Alias, Idham Arif (2013) Construction of strategies of pursuers in a differential game of many players with state and integral constraints. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 37-43). 10.1007/978-981-4585-33-0_5 |
| spellingShingle | Ibragimov, Gafurjan Rahmanov, Asqar Alias, Idham Arif Construction of strategies of pursuers in a differential game of many players with state and integral constraints |
| title | Construction of strategies of pursuers in a differential game of many players with state and integral constraints |
| title_full | Construction of strategies of pursuers in a differential game of many players with state and integral constraints |
| title_fullStr | Construction of strategies of pursuers in a differential game of many players with state and integral constraints |
| title_full_unstemmed | Construction of strategies of pursuers in a differential game of many players with state and integral constraints |
| title_short | Construction of strategies of pursuers in a differential game of many players with state and integral constraints |
| title_sort | construction of strategies of pursuers in a differential game of many players with state and integral constraints |
| url | http://psasir.upm.edu.my/id/eprint/39835/ http://psasir.upm.edu.my/id/eprint/39835/ http://psasir.upm.edu.my/id/eprint/39835/1/Construction%20of%20strategies%20of%20pursuers%20in%20a%20differential%20game%20of%20many%20players%20with%20state%20and%20integral%20constraints.pdf |