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Multi-pursuer pursuit differential game for an infinite system of second order differential equations


Citation

Kazimirova, R.Yu. and Ibragimov, G.I. and Hasim, R.M. (2024) Multi-pursuer pursuit differential game for an infinite system of second order differential equations. Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 34 (1). pp. 48-64. ISSN 1994-9197; eISSN: 2076-5959

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. © 2024 Udmurt State University. All rights reserved.


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Additional Metadata

Item Type: Article
DOI Number: https://doi.org/10.35634/vm240104
Publisher: Udmurt State University
Keywords: Control; Differential game; Infinite system of differential equations; Integral constraint; Many pursuers; Strategy
Depositing User: Ms. Azian Edawati Zakaria
Date Deposited: 07 Nov 2024 03:06
Last Modified: 07 Nov 2024 03:06
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.35634/vm240104
URI: http://psasir.upm.edu.my/id/eprint/112823
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