Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control

In this paper, we investigate the synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control. Using a combination of Riccati differential equation approach, Lyapunov-Krasovskii functional, inequality techniques, some sufficient conditions for exponentially...

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Main Authors:	T. Botmart, P. Niamsup, X. Liu
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80055006338&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51804
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-518042018-09-04T06:09:25Z Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control T. Botmart P. Niamsup X. Liu Mathematics In this paper, we investigate the synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control. Using a combination of Riccati differential equation approach, Lyapunov-Krasovskii functional, inequality techniques, some sufficient conditions for exponentially stability of the error system are formulated in form of a solution to the standard Riccati differential equation. The designed controller ensures that the synchronization of non-autonomous chaotic systems are proposed via delayed feedback control and intermittent linear state delayed feedback control. Numerical simulations are presented to illustrate the effectiveness of these synchronization criteria. © 2011 Elsevier B.V. 2018-09-04T06:09:25Z 2018-09-04T06:09:25Z 2012-04-01 Journal 10075704 2-s2.0-80055006338 10.1016/j.cnsns.2011.07.038 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80055006338&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51804
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics T. Botmart P. Niamsup X. Liu Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control
description	In this paper, we investigate the synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control. Using a combination of Riccati differential equation approach, Lyapunov-Krasovskii functional, inequality techniques, some sufficient conditions for exponentially stability of the error system are formulated in form of a solution to the standard Riccati differential equation. The designed controller ensures that the synchronization of non-autonomous chaotic systems are proposed via delayed feedback control and intermittent linear state delayed feedback control. Numerical simulations are presented to illustrate the effectiveness of these synchronization criteria. © 2011 Elsevier B.V.
format	Journal
author	T. Botmart P. Niamsup X. Liu
author_facet	T. Botmart P. Niamsup X. Liu
author_sort	T. Botmart
title	Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control
title_short	Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control
title_full	Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control
title_fullStr	Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control
title_full_unstemmed	Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control
title_sort	synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80055006338&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51804
_version_	1681423835971190784

Synchronization of non-autonomous chaotic systems with time-varying delay via delayed feedback control

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