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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Additional Metadata
Item Type: | Article |
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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 |
Statistic Details: | View Download Statistic |
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