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Differential games described by infinite system of differential equations of second order. The case of negative coefficients

We study pursuit and evasion differential game problems for an infinite system of differential equations of second order. Control functions are subject to integral constraints. The pursuit is completed if z(τ) = ż(τ) = 0 at some τ > 0, where z(t) is the state of the system. The pursuer tries to c...

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Main Authors: Ja'afaru, Abbas Badakaya, Ibragimov, Gafurjan Ismailovich
Format: Article
Language:English
Published: Academic Publications 2011
Online Access:http://psasir.upm.edu.my/id/eprint/24908/1/24908.pdf
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spelling oai:psasir.upm.edu.my:24908 http://psasir.upm.edu.my/id/eprint/24908/ Differential games described by infinite system of differential equations of second order. The case of negative coefficients Ja'afaru, Abbas Badakaya Ibragimov, Gafurjan Ismailovich We study pursuit and evasion differential game problems for an infinite system of differential equations of second order. Control functions are subject to integral constraints. The pursuit is completed if z(τ) = ż(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 exactly tries to avoid this. A sufficient condition is obtained for completing the pursuit in the differential game when control recourse of the pursuer greater than that of the evader. In the case where the control recourse of the evader not less than that of the pursuer we study an evasion problem. Academic Publications 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24908/1/24908.pdf Ja'afaru, Abbas Badakaya and Ibragimov, Gafurjan Ismailovich (2011) Differential games described by infinite system of differential equations of second order. The case of negative coefficients. International Journal of Pure and Applied Mathematics, 70 (7). pp. 927-938. ISSN 1311-8080; ESSN: 1314-3395 http://www.ijpam.eu/contents/2011-70-7/4/index.html
institution UPM IR
collection UPM IR
language English
description We study pursuit and evasion differential game problems for an infinite system of differential equations of second order. Control functions are subject to integral constraints. The pursuit is completed if z(τ) = ż(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 exactly tries to avoid this. A sufficient condition is obtained for completing the pursuit in the differential game when control recourse of the pursuer greater than that of the evader. In the case where the control recourse of the evader not less than that of the pursuer we study an evasion problem.
format Article
author Ja'afaru, Abbas Badakaya
Ibragimov, Gafurjan Ismailovich
spellingShingle Ja'afaru, Abbas Badakaya
Ibragimov, Gafurjan Ismailovich
Differential games described by infinite system of differential equations of second order. The case of negative coefficients
author_facet Ja'afaru, Abbas Badakaya
Ibragimov, Gafurjan Ismailovich
author_sort Ja'afaru, Abbas Badakaya
title Differential games described by infinite system of differential equations of second order. The case of negative coefficients
title_short Differential games described by infinite system of differential equations of second order. The case of negative coefficients
title_full Differential games described by infinite system of differential equations of second order. The case of negative coefficients
title_fullStr Differential games described by infinite system of differential equations of second order. The case of negative coefficients
title_full_unstemmed Differential games described by infinite system of differential equations of second order. The case of negative coefficients
title_sort differential games described by infinite system of differential equations of second order. the case of negative coefficients
publisher Academic Publications
publishDate 2011
url http://psasir.upm.edu.my/id/eprint/24908/1/24908.pdf
_version_ 1782720033902821376
score 12.935284

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