Differential games described by infinite system of differential equations of second order. The case of negative coefficients
We study pursuit and evasion differential game problems for an infinite system of differential equations of second order. Control functions are subject to integral constraints. The pursuit is completed if z(τ) = ż(τ) = 0 at some τ > 0, where z(t) is the state of the system. The pursuer tries to c...
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| Format: | Article |
| Language: | English |
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Academic Publications
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24908/ http://psasir.upm.edu.my/id/eprint/24908/1/24908.pdf |
| _version_ | 1848845164165988352 |
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| author | Ja'afaru, Abbas Badakaya Ibragimov, Gafurjan Ismailovich |
| author_facet | Ja'afaru, Abbas Badakaya Ibragimov, Gafurjan Ismailovich |
| author_sort | Ja'afaru, Abbas Badakaya |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We study pursuit and evasion differential game problems for an infinite system of differential equations of second order. Control functions are subject to integral constraints. The pursuit is completed if z(τ) = ż(τ) = 0 at some τ > 0, where z(t) is the state of the system. The pursuer tries to complete the pursuit and the evader exactly tries to avoid this. A sufficient condition is obtained for completing the pursuit in the differential game when control recourse of the pursuer greater than that of the evader. In the case where the control recourse of the evader not less than that of the pursuer we study an evasion problem. |
| first_indexed | 2025-11-15T08:42:28Z |
| format | Article |
| id | upm-24908 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:42:28Z |
| publishDate | 2011 |
| publisher | Academic Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-249082017-07-18T04:06:51Z http://psasir.upm.edu.my/id/eprint/24908/ Differential games described by infinite system of differential equations of second order. The case of negative coefficients Ja'afaru, Abbas Badakaya Ibragimov, Gafurjan Ismailovich We study pursuit and evasion differential game problems for an infinite system of differential equations of second order. Control functions are subject to integral constraints. The pursuit is completed if z(τ) = ż(τ) = 0 at some τ > 0, where z(t) is the state of the system. The pursuer tries to complete the pursuit and the evader exactly tries to avoid this. A sufficient condition is obtained for completing the pursuit in the differential game when control recourse of the pursuer greater than that of the evader. In the case where the control recourse of the evader not less than that of the pursuer we study an evasion problem. Academic Publications 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24908/1/24908.pdf Ja'afaru, Abbas Badakaya and Ibragimov, Gafurjan Ismailovich (2011) Differential games described by infinite system of differential equations of second order. The case of negative coefficients. International Journal of Pure and Applied Mathematics, 70 (7). pp. 927-938. ISSN 1311-8080; ESSN: 1314-3395 http://www.ijpam.eu/contents/2011-70-7/4/index.html |
| spellingShingle | Ja'afaru, Abbas Badakaya Ibragimov, Gafurjan Ismailovich Differential games described by infinite system of differential equations of second order. The case of negative coefficients |
| title | Differential games described by infinite system of differential equations of second order. The case of negative coefficients |
| title_full | Differential games described by infinite system of differential equations of second order. The case of negative coefficients |
| title_fullStr | Differential games described by infinite system of differential equations of second order. The case of negative coefficients |
| title_full_unstemmed | Differential games described by infinite system of differential equations of second order. The case of negative coefficients |
| title_short | Differential games described by infinite system of differential equations of second order. The case of negative coefficients |
| title_sort | differential games described by infinite system of differential equations of second order. the case of negative coefficients |
| url | http://psasir.upm.edu.my/id/eprint/24908/ http://psasir.upm.edu.my/id/eprint/24908/ http://psasir.upm.edu.my/id/eprint/24908/1/24908.pdf |