Fixed duration pursuit-evasion differential game with integral constraints
We investigate a pursuit-evasion differential game of countably many pursuers and one evader. Integral constraints are imposed on control functions of the players. Duration of the game is fixed and the payoff of the game is infimum of the distances between the evader and pursuers when the game is co...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
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Institute of Physics Publishing
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30170/1/Fixed%20duration%20pursuit.pdf |
| _version_ | 1825947654365904896 |
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| author | Ibragimov, Gafurjan Kuchkarov, Atamurat Shamuratovich |
| author_facet | Ibragimov, Gafurjan Kuchkarov, Atamurat Shamuratovich |
| author_sort | Ibragimov, Gafurjan |
| collection | UPM |
| description | We investigate a pursuit-evasion differential game of countably many pursuers and one evader. Integral constraints are imposed on control functions of the players. Duration of the game is fixed and the payoff of the game is infimum of the distances between the evader and pursuers when the game is completed. Purpose of the pursuers is to minimize the payoff and that of the evader is to maximize it. Optimal strategies of the players are constructed, and the value of the game is found. It should be noted that energy resource of any pursuer may be less than that of the evader. |
| first_indexed | 2024-03-06T08:16:42Z |
| format | Article |
| id | upm.eprints-30170 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T08:16:42Z |
| publishDate | 2013 |
| publisher | Institute of Physics Publishing |
| record_format | dspace |
| spelling | upm.eprints-301702015-09-22T00:49:42Z http://psasir.upm.edu.my/id/eprint/30170/ Fixed duration pursuit-evasion differential game with integral constraints Ibragimov, Gafurjan Kuchkarov, Atamurat Shamuratovich We investigate a pursuit-evasion differential game of countably many pursuers and one evader. Integral constraints are imposed on control functions of the players. Duration of the game is fixed and the payoff of the game is infimum of the distances between the evader and pursuers when the game is completed. Purpose of the pursuers is to minimize the payoff and that of the evader is to maximize it. Optimal strategies of the players are constructed, and the value of the game is found. It should be noted that energy resource of any pursuer may be less than that of the evader. Institute of Physics Publishing 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30170/1/Fixed%20duration%20pursuit.pdf Ibragimov, Gafurjan and Kuchkarov, Atamurat Shamuratovich (2013) Fixed duration pursuit-evasion differential game with integral constraints. Journal of Physics: Conference Series, 435. art. no. 012017. pp. 1-11. ISSN 1742-6588 10.1088/1742-6596/435/1/012017 English |
| spellingShingle | Ibragimov, Gafurjan Kuchkarov, Atamurat Shamuratovich Fixed duration pursuit-evasion differential game with integral constraints |
| title | Fixed duration pursuit-evasion differential game with integral constraints |
| title_full | Fixed duration pursuit-evasion differential game with integral constraints |
| title_fullStr | Fixed duration pursuit-evasion differential game with integral constraints |
| title_full_unstemmed | Fixed duration pursuit-evasion differential game with integral constraints |
| title_short | Fixed duration pursuit-evasion differential game with integral constraints |
| title_sort | fixed duration pursuit evasion differential game with integral constraints |
| url | http://psasir.upm.edu.my/id/eprint/30170/1/Fixed%20duration%20pursuit.pdf |
| work_keys_str_mv | AT ibragimovgafurjan fixeddurationpursuitevasiondifferentialgamewithintegralconstraints AT kuchkarovatamuratshamuratovich fixeddurationpursuitevasiondifferentialgamewithintegralconstraints |