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Pursuit game problem of an infinite system of differential equations with geometric and integral constraints


Citation

Waziri, Usman and Gafurjan, Ibragimov and Alias, Idham Arif and Ibrahim, Zarina Bibi (2018) Pursuit game problem of an infinite system of differential equations with geometric and integral constraints. Journal of Physics: Conference Series, 1132. art. no. 012054. pp. 1-9. ISSN 1742-6588; ESSN: 1742-6596

Abstract

The present paper considers a pursuit game problem of an infinite system of 1st-order differential equations in the space l 2. In the game, the player's control functions satisfy both geometric and integral constraints. The pursuer's action is to force the state of the system to coincides with another state for a finite time and the evader's action is to retrieve this. In each case, we obtain a condition for the completion of the game for which the pursuer's strategy is explicitly constructed. In addition, we study a control problem.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1088/1742-6596/1132/1/012054
Publisher: IOP Publishing
Keywords: Game; Geometric
Depositing User: Ms. Nida Hidayati Ghazali
Date Deposited: 09 May 2020 18:21
Last Modified: 09 May 2020 18:21
Altmetrics: https://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1088/1742-6596/1132/1/012054
URI: http://psasir.upm.edu.my/id/eprint/73685
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