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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...

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Main Authors: Madhavan, Diviekga Nair, Alias, Idham Arif, Ibragimov, Gafurjan
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2024
Online Access:http://psasir.upm.edu.my/id/eprint/113397/1/113397.pdf
http://psasir.upm.edu.my/id/eprint/113397/
https://model-dnu.dp.ua/index.php/SM/article/view/195
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Madhavan, Diviekga Nair
Alias, Idham Arif
Ibragimov, Gafurjan
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
author_facet Madhavan, Diviekga Nair
Alias, Idham Arif
Ibragimov, Gafurjan
author_sort Madhavan, Diviekga Nair
title 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_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_sort on a control problem and a pursuit game of transferring states described by an infinite three-systems of differential equations
publisher Oles Honchar Dnipro National University
publishDate 2024
url http://psasir.upm.edu.my/id/eprint/113397/1/113397.pdf
http://psasir.upm.edu.my/id/eprint/113397/
https://model-dnu.dp.ua/index.php/SM/article/view/195
_version_ 1817844631949279232
score 13.223943

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