A pursuit problem in an infinite system of second-order differential equations

Citation

Ibragimov, Gafurjan and Allahabi, Fateh Abdo Ali and Kuchkarov, Atamurat Shamuratovich (2014) A pursuit problem in an infinite system of second-order differential equations. Ukrainian Mathematical Journal, 65 (8). pp. 1203-1216. ISSN 0041-5995; ESSN: 1573-9376

Abstract

We study a pursuit differential game problem for an infinite system of second-order differential equations. The control functions of players, i.e., a pursuer and an evader are subject to integral constraints. The pursuit is completed if z(τ) = z˙ (τ) = 0 at some τ > 0, where z(t) is the state of the system. The pursuer tries to complete the pursuit and the evader tries to avoid this. A sufficient condition is obtained for completing the pursuit in the differential game when the control recourse of the pursuer is greater than the control recourse of the evader. To construct the strategy of the pursuer, we assume that the instantaneous control used by the evader is known to the pursuer.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1007/s11253-014-0852-8
Publisher:	Springer
Keywords:	Pursuit problem; Infinite system of second-order differential equations
Depositing User:	Nabilah Mustapa
Date Deposited:	21 Jun 2015 02:08
Last Modified:	21 Sep 2015 00:45
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s11253-014-0852-8
URI:	http://psasir.upm.edu.my/id/eprint/36237
Statistic Details:	View Download Statistic

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