Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints
In this paper, we study a differential game of many pursuers and one evader in R2. The motions of all players are simple. An integral constraint is imposed on each coordinate of the control functions of players. We say that pursuit is completed if the state of a pursuer coincides with that of the ev...
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/52341/ http://psasir.upm.edu.my/id/eprint/52341/1/5.%20Gafurjan_Idham.pdf |
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| author | Alias, Idham Arif Ibragimov, Gafurjan Kuchkarov, Atamurat Sotvoldiyev, Akmal |
| author_facet | Alias, Idham Arif Ibragimov, Gafurjan Kuchkarov, Atamurat Sotvoldiyev, Akmal |
| author_sort | Alias, Idham Arif |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we study a differential game of many pursuers and one evader in R2. The motions of all players are simple. An integral constraint is imposed on each coordinate of the control functions of players. We say that pursuit is completed if the state of a pursuer coincides with that of the evader at some time. The pursuers try to complete the pursuit, and the evader tries to avoid this. Sufficient conditions for completion of the differential game were obtained. The strategies of the pursuers are constructed based on the current values of control parameter of the evader. Also an illustrative example is provided. |
| first_indexed | 2025-11-15T10:32:22Z |
| format | Article |
| id | upm-52341 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:32:22Z |
| publishDate | 2016 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-523412017-06-05T09:24:18Z http://psasir.upm.edu.my/id/eprint/52341/ Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints Alias, Idham Arif Ibragimov, Gafurjan Kuchkarov, Atamurat Sotvoldiyev, Akmal In this paper, we study a differential game of many pursuers and one evader in R2. The motions of all players are simple. An integral constraint is imposed on each coordinate of the control functions of players. We say that pursuit is completed if the state of a pursuer coincides with that of the evader at some time. The pursuers try to complete the pursuit, and the evader tries to avoid this. Sufficient conditions for completion of the differential game were obtained. The strategies of the pursuers are constructed based on the current values of control parameter of the evader. Also an illustrative example is provided. Institute for Mathematical Research, Universiti Putra Malaysia 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52341/1/5.%20Gafurjan_Idham.pdf Alias, Idham Arif and Ibragimov, Gafurjan and Kuchkarov, Atamurat and Sotvoldiyev, Akmal (2016) Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints. Malaysian Journal of Mathematical Sciences, 10 (2). pp. 195-207. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol10no2may/5.%20Gafurjan_Idham.pdf |
| spellingShingle | Alias, Idham Arif Ibragimov, Gafurjan Kuchkarov, Atamurat Sotvoldiyev, Akmal Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints |
| title | Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints |
| title_full | Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints |
| title_fullStr | Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints |
| title_full_unstemmed | Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints |
| title_short | Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints |
| title_sort | differential game with many pursuers when controls are subjected to coordinate-wise integral constraints |
| url | http://psasir.upm.edu.my/id/eprint/52341/ http://psasir.upm.edu.my/id/eprint/52341/ http://psasir.upm.edu.my/id/eprint/52341/1/5.%20Gafurjan_Idham.pdf |