A pursuit problem in an infinite system of second-order differential equations
We study a pursuit differential game problem for an infinite system of second-order differential equations. The control functions of players, i.e., a pursuer and an evader are subject to integral constraints. The pursuit is completed if z(τ) = z˙ (τ) = 0 at some τ > 0, where z(t) is the state of...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer
2014
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/36237/1/A%20pursuit%20problem%20in%20an%20infinite%20system%20of%20second.pdf |
| _version_ | 1796972870878887936 |
|---|---|
| author | Ibragimov, Gafurjan Allahabi, Fateh Abdo Ali Kuchkarov, Atamurat Shamuratovich |
| author_facet | Ibragimov, Gafurjan Allahabi, Fateh Abdo Ali Kuchkarov, Atamurat Shamuratovich |
| author_sort | Ibragimov, Gafurjan |
| collection | UPM |
| description | We study a pursuit differential game problem for an infinite system of second-order differential equations. The control functions of players, i.e., a pursuer and an evader are subject to integral constraints. The pursuit is completed if z(τ) = z˙ (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 tries to avoid this. A sufficient condition is obtained for completing the pursuit in the differential game when the control recourse of the pursuer is greater than the control recourse of the evader. To construct the strategy of the pursuer, we assume that the instantaneous control used by the evader is known to the pursuer. |
| first_indexed | 2024-03-06T08:34:43Z |
| format | Article |
| id | upm.eprints-36237 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:34:43Z |
| publishDate | 2014 |
| publisher | Springer |
| record_format | dspace |
| spelling | upm.eprints-362372015-09-21T00:45:01Z http://psasir.upm.edu.my/id/eprint/36237/ A pursuit problem in an infinite system of second-order differential equations Ibragimov, Gafurjan Allahabi, Fateh Abdo Ali Kuchkarov, Atamurat Shamuratovich We study a pursuit differential game problem for an infinite system of second-order differential equations. The control functions of players, i.e., a pursuer and an evader are subject to integral constraints. The pursuit is completed if z(τ) = z˙ (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 tries to avoid this. A sufficient condition is obtained for completing the pursuit in the differential game when the control recourse of the pursuer is greater than the control recourse of the evader. To construct the strategy of the pursuer, we assume that the instantaneous control used by the evader is known to the pursuer. Springer 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36237/1/A%20pursuit%20problem%20in%20an%20infinite%20system%20of%20second.pdf Ibragimov, Gafurjan and Allahabi, Fateh Abdo Ali and Kuchkarov, Atamurat Shamuratovich (2014) A pursuit problem in an infinite system of second-order differential equations. Ukrainian Mathematical Journal, 65 (8). pp. 1203-1216. ISSN 0041-5995; ESSN: 1573-9376 10.1007/s11253-014-0852-8 |
| spellingShingle | Ibragimov, Gafurjan Allahabi, Fateh Abdo Ali Kuchkarov, Atamurat Shamuratovich A pursuit problem in an infinite system of second-order differential equations |
| title | A pursuit problem in an infinite system of second-order differential equations |
| title_full | A pursuit problem in an infinite system of second-order differential equations |
| title_fullStr | A pursuit problem in an infinite system of second-order differential equations |
| title_full_unstemmed | A pursuit problem in an infinite system of second-order differential equations |
| title_short | A pursuit problem in an infinite system of second-order differential equations |
| title_sort | pursuit problem in an infinite system of second order differential equations |
| url | http://psasir.upm.edu.my/id/eprint/36237/1/A%20pursuit%20problem%20in%20an%20infinite%20system%20of%20second.pdf |
| work_keys_str_mv | AT ibragimovgafurjan apursuitprobleminaninfinitesystemofsecondorderdifferentialequations AT allahabifatehabdoali apursuitprobleminaninfinitesystemofsecondorderdifferentialequations AT kuchkarovatamuratshamuratovich apursuitprobleminaninfinitesystemofsecondorderdifferentialequations AT ibragimovgafurjan pursuitprobleminaninfinitesystemofsecondorderdifferentialequations AT allahabifatehabdoali pursuitprobleminaninfinitesystemofsecondorderdifferentialequations AT kuchkarovatamuratshamuratovich pursuitprobleminaninfinitesystemofsecondorderdifferentialequations |