Pursuit and evasion differential games in Hilbert Space
We consider pursuit and evasion differential game problems described by an infinite system of differential equations with countably many Pursuers in Hilbert space. Integral constraints are imposed on the controls of players. In this paper an attempt has been made to solve an evasion problem under th...
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| Format: | Article |
| Language: | English English |
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World Scientific Publishing
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/16397/ http://psasir.upm.edu.my/id/eprint/16397/1/Pursuit%20and%20evasion%20differential%20games%20in%20Hilbert%20Space.pdf |
| _version_ | 1848842950981713920 |
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| author | Ibragimov, Gafurjan I. Mat Hasim, Risman |
| author_facet | Ibragimov, Gafurjan I. Mat Hasim, Risman |
| author_sort | Ibragimov, Gafurjan I. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We consider pursuit and evasion differential game problems described by an infinite system of differential equations with countably many Pursuers in Hilbert space. Integral constraints are imposed on the controls of players. In this paper an attempt has been made to solve an evasion problem under the condition that the total resource of the Pursuers is less then that of the Evader and a pursuit problem when the total resource of the Pursuers greater than that of the Evader. The strategy of the Evader is constructed |
| first_indexed | 2025-11-15T08:07:17Z |
| format | Article |
| id | upm-16397 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:07:17Z |
| publishDate | 2010 |
| publisher | World Scientific Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-163972015-09-29T01:01:23Z http://psasir.upm.edu.my/id/eprint/16397/ Pursuit and evasion differential games in Hilbert Space Ibragimov, Gafurjan I. Mat Hasim, Risman We consider pursuit and evasion differential game problems described by an infinite system of differential equations with countably many Pursuers in Hilbert space. Integral constraints are imposed on the controls of players. In this paper an attempt has been made to solve an evasion problem under the condition that the total resource of the Pursuers is less then that of the Evader and a pursuit problem when the total resource of the Pursuers greater than that of the Evader. The strategy of the Evader is constructed World Scientific Publishing 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/16397/1/Pursuit%20and%20evasion%20differential%20games%20in%20Hilbert%20Space.pdf Ibragimov, Gafurjan I. and Mat Hasim, Risman (2010) Pursuit and evasion differential games in Hilbert Space. International Game Theory Review, 12 (3). pp. 239-251. ISSN 0219-1989 http://www.worldscinet.com/igtr/12/1203/S0219198910002647.html Differential equation Differential games 10.1142/S0219198910002647 English |
| spellingShingle | Differential equation Differential games Ibragimov, Gafurjan I. Mat Hasim, Risman Pursuit and evasion differential games in Hilbert Space |
| title | Pursuit and evasion differential games in Hilbert Space |
| title_full | Pursuit and evasion differential games in Hilbert Space |
| title_fullStr | Pursuit and evasion differential games in Hilbert Space |
| title_full_unstemmed | Pursuit and evasion differential games in Hilbert Space |
| title_short | Pursuit and evasion differential games in Hilbert Space |
| title_sort | pursuit and evasion differential games in hilbert space |
| topic | Differential equation Differential games |
| url | http://psasir.upm.edu.my/id/eprint/16397/ http://psasir.upm.edu.my/id/eprint/16397/ http://psasir.upm.edu.my/id/eprint/16397/ http://psasir.upm.edu.my/id/eprint/16397/1/Pursuit%20and%20evasion%20differential%20games%20in%20Hilbert%20Space.pdf |