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Malaysia; Uzbekistan Andijan; Serdang; Tashkent
Year
2024
Volume
34
Issue
1
Pages
48-64
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Section Mathematics
Title Multi-pursuer pursuit differential game for an infinite system of second order differential equations
Author(-s) Kazimirova R.Y.ab, Ibragimov G.I.cd, Hasim R.M.b
Affiliations Andijan State Universitya, Universiti Putra Malaysiab, Institute of Mathematics, National Academy of Sciences of Uzbekistanc, Tashkent State University of Economicsd
Abstract We study a pursuit differential game of many pursuers and one evader. The game is described by the infinite systems of $m$ inertial equations. By definition, pursuit in the game is completed if the state and its derivative of one of the systems are equal to zero at some time. In the literature, such a condition of completion of pursuit is also called soft landing. We obtain a condition in terms of energies of players which is sufficient for completion of pursuit in the game. The pursuit strategies are also constructed.
Keywords differential game, control, strategy, many pursuers, infinite system of differential equations, integral constraint
UDC 517.977
MSC 49N75, 91A23
DOI 10.35634/vm240104
Received 23 October 2023
Language English
Citation Kazimirova R.Y., Ibragimov G.I., Hasim R.M. Multi-pursuer pursuit differential game for an infinite system of second order differential equations, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2024, vol. 34, issue 1, pp. 48-64.
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