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Differential game for an infinite system of two-block differential equations


Citation

Ibragimov, Gafurjan and Kuchkarova, Sarvinoz and Mat Hasim, Risman and Pansera, Bruno Antonio (2022) Differential game for an infinite system of two-block differential equations. Mathematics, 10 (14). art. no. 2541. pp. 1-11. ISSN 2227-7390

Abstract

We present a pursuit differential game for an infinite system of two-block differential equations in Hilbert space l2. The pursuer and evader control functions are subject to integral constraints. The differential game is said to be completed if the state of the system falls into the origin of l2 at some finite time. The purpose of the pursuer is to bring the state of the controlled system to the origin of the space l2, whereas the evader’s aim is to prevent this. For the optimal pursuit time, we obtain an equation and construct the optimal strategies for the players.


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Official URL or Download Paper: https://www.mdpi.com/2227-7390/10/14/2541

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.3390/math10142541
Publisher: MDPI
Keywords: Differential game; Pursuit; Control; Strategy; Infinite system of differential equations; Integral constraint
Depositing User: Ms. Nur Faseha Mohd Kadim
Date Deposited: 14 Jul 2023 03:34
Last Modified: 14 Jul 2023 03:34
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/math10142541
URI: http://psasir.upm.edu.my/id/eprint/100957
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