Citation
Ibragimov, Gafurjan Ismailovich and Alias, Idham Arif and Waziri, Usman and Ja'afaru, Abbas Badakaya
(2019)
Differential game of optimal pursuit for an infinite system of differential equations.
Bulletin of the Malaysian Mathematical Sciences Society, 42 (1).
pp. 394-403.
ISSN 0126-6705; ESSN: 2180-4206
Abstract
We study an optimal pursuit differential game problem in the Hilbert space l2r+1. The game is described by an infinite system of the first-order differential equations whose coefficients are negative. The control functions of players are subjected to integral constraints. If the state of the system coincides with the origin of the space l2r+1, then game is considered completed. We obtain an equation to find the optimal pursuit time. Moreover, we construct the optimal strategies for players.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1007/s40840-017-0581-x |
| Publisher: | Springer |
| Keywords: | Differential game; Infinite system; Pursuer; Evader; Hilbert space; Integral constraint; Optimal strategy |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 30 Mar 2021 22:45 |
| Last Modified: | 30 Mar 2021 22:45 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s40840-017-0581-x |
| URI: | http://psasir.upm.edu.my/id/eprint/79386 |
| Statistic Details: | View Download Statistic |
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