Differential game of pursuit time satisfy the geometric constraints in l2 space
In the present article, we present a differential game of pursuit problem with the case of geometric constraint in the Hilbert space l2. The game is given by system of 2-infinite systems of first order ordinary differential equations (ODEs). Geometric constraint are imposed on the control functions...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2021
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| Online Access: | http://psasir.upm.edu.my/id/eprint/96730/ http://psasir.upm.edu.my/id/eprint/96730/1/ABSTRACT.pdf |
| _version_ | 1848862431518916608 |
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| author | Waziri, Usman Ibragimov, Gafurjan Usman, Abdullahi Babura, Babangida Ibrahim Adebayo, Salaudeed A. |
| author_facet | Waziri, Usman Ibragimov, Gafurjan Usman, Abdullahi Babura, Babangida Ibrahim Adebayo, Salaudeed A. |
| author_sort | Waziri, Usman |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In the present article, we present a differential game of pursuit problem with the case of geometric constraint in the Hilbert space l2. The game is given by system of 2-infinite systems of first order ordinary differential equations (ODEs). Geometric constraint are imposed on the control functions of players. The game is began from a given point z0 called the initial position. It is given another point z1 in the space l2. The Pursuer targeting to bring the state of the system from z0 to z1 where an equation to find a guaranteed pursuit time is obtained while that of the Evader action is opposite. The game is assumed to be completed if z(t) = z1 at some time t. Moreover, a control problem is studied and then extended to the differential game of pursuit where the strategy for the Pursuer is constructed explicitly. |
| first_indexed | 2025-11-15T13:16:55Z |
| format | Article |
| id | upm-96730 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T13:16:55Z |
| publishDate | 2021 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-967302022-12-01T08:12:52Z http://psasir.upm.edu.my/id/eprint/96730/ Differential game of pursuit time satisfy the geometric constraints in l2 space Waziri, Usman Ibragimov, Gafurjan Usman, Abdullahi Babura, Babangida Ibrahim Adebayo, Salaudeed A. In the present article, we present a differential game of pursuit problem with the case of geometric constraint in the Hilbert space l2. The game is given by system of 2-infinite systems of first order ordinary differential equations (ODEs). Geometric constraint are imposed on the control functions of players. The game is began from a given point z0 called the initial position. It is given another point z1 in the space l2. The Pursuer targeting to bring the state of the system from z0 to z1 where an equation to find a guaranteed pursuit time is obtained while that of the Evader action is opposite. The game is assumed to be completed if z(t) = z1 at some time t. Moreover, a control problem is studied and then extended to the differential game of pursuit where the strategy for the Pursuer is constructed explicitly. IOP Publishing 2021 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/96730/1/ABSTRACT.pdf Waziri, Usman and Ibragimov, Gafurjan and Usman, Abdullahi and Babura, Babangida Ibrahim and Adebayo, Salaudeed A. (2021) Differential game of pursuit time satisfy the geometric constraints in l2 space. Journal of Physics: Conference Series, 1863. art. no. 012006. pp. 1-8. ISSN 1742-6588; ESSN: 1742-6596 https://iopscience.iop.org/article/10.1088/1742-6596/1863/1/012006 10.1088/1742-6596/1863/1/012006 |
| spellingShingle | Waziri, Usman Ibragimov, Gafurjan Usman, Abdullahi Babura, Babangida Ibrahim Adebayo, Salaudeed A. Differential game of pursuit time satisfy the geometric constraints in l2 space |
| title | Differential game of pursuit time satisfy the geometric constraints in l2 space |
| title_full | Differential game of pursuit time satisfy the geometric constraints in l2 space |
| title_fullStr | Differential game of pursuit time satisfy the geometric constraints in l2 space |
| title_full_unstemmed | Differential game of pursuit time satisfy the geometric constraints in l2 space |
| title_short | Differential game of pursuit time satisfy the geometric constraints in l2 space |
| title_sort | differential game of pursuit time satisfy the geometric constraints in l2 space |
| url | http://psasir.upm.edu.my/id/eprint/96730/ http://psasir.upm.edu.my/id/eprint/96730/ http://psasir.upm.edu.my/id/eprint/96730/ http://psasir.upm.edu.my/id/eprint/96730/1/ABSTRACT.pdf |