On a control problem and a pursuit game of transferring states described by an infinite three-systems of differential equations
In this paper, we devote to study a pursuit game described by an infinite three-systems of differential equations in Hilbert space. The game involves transferring of the states as the pursuit is said to be completed if the state ζ(·) of the system is shifted to another non zero state ζ1 of the syste...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Oles Honchar Dnipro National University
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/113397/ http://psasir.upm.edu.my/id/eprint/113397/1/113397.pdf |
| _version_ | 1848866211310338048 |
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| author | Madhavan, Diviekga Nair Alias, Idham Arif Ibragimov, Gafurjan |
| author_facet | Madhavan, Diviekga Nair Alias, Idham Arif Ibragimov, Gafurjan |
| author_sort | Madhavan, Diviekga Nair |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we devote to study a pursuit game described by an infinite three-systems of differential equations in Hilbert space. The game involves transferring of the states as the pursuit is said to be completed if the state ζ(·) of the system is shifted to another non zero state ζ1 of the system at some finite time. The control functions of the players are constrained by geometric constraints. We first find the control function that transfers the control system’s state to the state ζ1 at some time. We then extend to solve the pursuit problem where an admissible pursuer’s strategy is constructed and a guaranteed pursuit time is determined. |
| first_indexed | 2025-11-15T14:17:00Z |
| format | Article |
| id | upm-113397 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:17:00Z |
| publishDate | 2024 |
| publisher | Oles Honchar Dnipro National University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1133972024-11-22T06:23:41Z http://psasir.upm.edu.my/id/eprint/113397/ On a control problem and a pursuit game of transferring states described by an infinite three-systems of differential equations Madhavan, Diviekga Nair Alias, Idham Arif Ibragimov, Gafurjan In this paper, we devote to study a pursuit game described by an infinite three-systems of differential equations in Hilbert space. The game involves transferring of the states as the pursuit is said to be completed if the state ζ(·) of the system is shifted to another non zero state ζ1 of the system at some finite time. The control functions of the players are constrained by geometric constraints. We first find the control function that transfers the control system’s state to the state ζ1 at some time. We then extend to solve the pursuit problem where an admissible pursuer’s strategy is constructed and a guaranteed pursuit time is determined. Oles Honchar Dnipro National University 2024 Article PeerReviewed text en cc_by_4 http://psasir.upm.edu.my/id/eprint/113397/1/113397.pdf Madhavan, Diviekga Nair and Alias, Idham Arif and Ibragimov, Gafurjan (2024) On a control problem and a pursuit game of transferring states described by an infinite three-systems of differential equations. Journal of Optimization, Differential Equations and Their Applications, 32 (1). pp. 55-64. ISSN 2617-0108; eISSN: 2663-6824 https://model-dnu.dp.ua/index.php/SM/article/view/195 10.15421/142403 |
| spellingShingle | Madhavan, Diviekga Nair Alias, Idham Arif Ibragimov, Gafurjan On a control problem and a pursuit game of transferring states described by an infinite three-systems of differential equations |
| title | On a control problem and a pursuit game of transferring states described by an infinite three-systems of differential equations |
| title_full | On a control problem and a pursuit game of transferring states described by an infinite three-systems of differential equations |
| title_fullStr | On a control problem and a pursuit game of transferring states described by an infinite three-systems of differential equations |
| title_full_unstemmed | On a control problem and a pursuit game of transferring states described by an infinite three-systems of differential equations |
| title_short | On a control problem and a pursuit game of transferring states described by an infinite three-systems of differential equations |
| title_sort | on a control problem and a pursuit game of transferring states described by an infinite three-systems of differential equations |
| url | http://psasir.upm.edu.my/id/eprint/113397/ http://psasir.upm.edu.my/id/eprint/113397/ http://psasir.upm.edu.my/id/eprint/113397/ http://psasir.upm.edu.my/id/eprint/113397/1/113397.pdf |