Delay-dependent synchronization for complex dynamical networks with interval time-varying and switched coupling delays

We investigate the local exponential synchronization for complex dynamical networks with interval time-varying delays in the dynamical nodes and the switched coupling term simultaneously. The constraint on the derivative of the time-varying delay is not required which allows the time delay to be a f...

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Main Authors: T. Botmart, P. Niamsup
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/52758
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-527582018-09-04T09:31:41Z Delay-dependent synchronization for complex dynamical networks with interval time-varying and switched coupling delays T. Botmart P. Niamsup Mathematics We investigate the local exponential synchronization for complex dynamical networks with interval time-varying delays in the dynamical nodes and the switched coupling term simultaneously. The constraint on the derivative of the time-varying delay is not required which allows the time delay to be a fast time-varying function. By using common unitary matrix for different subnetworks, the problem of synchronization is transformed into the stability analysis of some linear switched delay systems. Then, when subnetworks are synchronizable and nonsynchronizable, a delay-dependent sufficient condition is derived and formulated in the form of linear matrix inequalities (LMIs) by average dwell time approach and piecewise Lyapunov-Krasovskii functionals which are constructed based on the descriptor model of the system and the method of decomposition. The new stability condition is less conservative and is more general than some existing results. A numerical example is also given to illustrate the effectiveness of the proposed method. © 2013 T. Botmart and P. Niamsup. 2018-09-04T09:31:41Z 2018-09-04T09:31:41Z 2013-04-29 Journal 16870042 1110757X 2-s2.0-84876558389 10.1155/2013/367457 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84876558389&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52758
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
T. Botmart
P. Niamsup
Delay-dependent synchronization for complex dynamical networks with interval time-varying and switched coupling delays
description We investigate the local exponential synchronization for complex dynamical networks with interval time-varying delays in the dynamical nodes and the switched coupling term simultaneously. The constraint on the derivative of the time-varying delay is not required which allows the time delay to be a fast time-varying function. By using common unitary matrix for different subnetworks, the problem of synchronization is transformed into the stability analysis of some linear switched delay systems. Then, when subnetworks are synchronizable and nonsynchronizable, a delay-dependent sufficient condition is derived and formulated in the form of linear matrix inequalities (LMIs) by average dwell time approach and piecewise Lyapunov-Krasovskii functionals which are constructed based on the descriptor model of the system and the method of decomposition. The new stability condition is less conservative and is more general than some existing results. A numerical example is also given to illustrate the effectiveness of the proposed method. © 2013 T. Botmart and P. Niamsup.
format Journal
author T. Botmart
P. Niamsup
author_facet T. Botmart
P. Niamsup
author_sort T. Botmart
title Delay-dependent synchronization for complex dynamical networks with interval time-varying and switched coupling delays
title_short Delay-dependent synchronization for complex dynamical networks with interval time-varying and switched coupling delays
title_full Delay-dependent synchronization for complex dynamical networks with interval time-varying and switched coupling delays
title_fullStr Delay-dependent synchronization for complex dynamical networks with interval time-varying and switched coupling delays
title_full_unstemmed Delay-dependent synchronization for complex dynamical networks with interval time-varying and switched coupling delays
title_sort delay-dependent synchronization for complex dynamical networks with interval time-varying and switched coupling delays
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84876558389&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/52758
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