Multi pursuer differential game of optimal approach with integral constraints on controls of players
We study a differential game of optimal approach of finite or countable number of pursuers with one evader in the Hilbert space l2. On control functions of the players integral constraints are imposed. Such constraints arise in modeling the constraint on energy. The duration of the game θ is fixed....
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Mathematical Society of the Republic of China (Taiwan)
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/56547/ http://psasir.upm.edu.my/id/eprint/56547/1/Multi%20pursuer%20differential%20game%20of%20optimal%20approach%20with%20integral%20constraints%20on%20controls%20of%20players.pdf |
| _version_ | 1848853114155696128 |
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| author | Ibragimov, Gafurjan Abd Rasid, Norshakila Kuchkarov, Atamurat Shamuratovich Ismail, Fudziah |
| author_facet | Ibragimov, Gafurjan Abd Rasid, Norshakila Kuchkarov, Atamurat Shamuratovich Ismail, Fudziah |
| author_sort | Ibragimov, Gafurjan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We study a differential game of optimal approach of finite or countable number of pursuers with one evader in the Hilbert space l2. On control functions of the players integral constraints are imposed. Such constraints arise in modeling the constraint on energy. The duration of the game θ is fixed. The payoff functional is the greatest lower bound of distances between the pursuers and evader when the game is terminated. The pursuers try to minimize the payoff functional, and the evader tries to maximize it. In this paper, we find formula for the value of the game and construct explicitly optimal strategies of the players. Important point to note is that the energy resource of any pursuer needs not be greater than that of the evader. |
| first_indexed | 2025-11-15T10:48:49Z |
| format | Article |
| id | upm-56547 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:48:49Z |
| publishDate | 2015 |
| publisher | Mathematical Society of the Republic of China (Taiwan) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-565472017-08-01T08:55:47Z http://psasir.upm.edu.my/id/eprint/56547/ Multi pursuer differential game of optimal approach with integral constraints on controls of players Ibragimov, Gafurjan Abd Rasid, Norshakila Kuchkarov, Atamurat Shamuratovich Ismail, Fudziah We study a differential game of optimal approach of finite or countable number of pursuers with one evader in the Hilbert space l2. On control functions of the players integral constraints are imposed. Such constraints arise in modeling the constraint on energy. The duration of the game θ is fixed. The payoff functional is the greatest lower bound of distances between the pursuers and evader when the game is terminated. The pursuers try to minimize the payoff functional, and the evader tries to maximize it. In this paper, we find formula for the value of the game and construct explicitly optimal strategies of the players. Important point to note is that the energy resource of any pursuer needs not be greater than that of the evader. Mathematical Society of the Republic of China (Taiwan) 2015 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/56547/1/Multi%20pursuer%20differential%20game%20of%20optimal%20approach%20with%20integral%20constraints%20on%20controls%20of%20players.pdf Ibragimov, Gafurjan and Abd Rasid, Norshakila and Kuchkarov, Atamurat Shamuratovich and Ismail, Fudziah (2015) Multi pursuer differential game of optimal approach with integral constraints on controls of players. Taiwanese Journal of Mathematics, 19 (3). pp. 963-976. ISSN 1027-5487; ESSN: 2224-6851 http://projecteuclid.org/euclid.twjm/1499133673 |
| spellingShingle | Ibragimov, Gafurjan Abd Rasid, Norshakila Kuchkarov, Atamurat Shamuratovich Ismail, Fudziah Multi pursuer differential game of optimal approach with integral constraints on controls of players |
| title | Multi pursuer differential game of optimal approach with integral constraints on controls of players |
| title_full | Multi pursuer differential game of optimal approach with integral constraints on controls of players |
| title_fullStr | Multi pursuer differential game of optimal approach with integral constraints on controls of players |
| title_full_unstemmed | Multi pursuer differential game of optimal approach with integral constraints on controls of players |
| title_short | Multi pursuer differential game of optimal approach with integral constraints on controls of players |
| title_sort | multi pursuer differential game of optimal approach with integral constraints on controls of players |
| url | http://psasir.upm.edu.my/id/eprint/56547/ http://psasir.upm.edu.my/id/eprint/56547/ http://psasir.upm.edu.my/id/eprint/56547/1/Multi%20pursuer%20differential%20game%20of%20optimal%20approach%20with%20integral%20constraints%20on%20controls%20of%20players.pdf |