New Delay-Dependent Synchronization Criteria of Complex Dynamical Networks With Time-Varying Coupling Delay Based on Sampled-Data Control via New Integral Inequality

In this work, the issue of synchronization control for complex dynamical networks with time-varying coupling delay based on sampled-data is addressed. First, the sampled-data control is transformed into the bounded sampling period with time-varying delay. As a result, this model is converted to the...

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Autores principales: Arthit Hongsri, Thongchai Botmart, Wajaree Weera, Prem Junsawang
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Lenguaje:EN
Publicado: IEEE 2021
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spelling oai:doaj.org-article:9aa62617d4a94653aa2054b1c3806a6f2021-11-19T00:04:35ZNew Delay-Dependent Synchronization Criteria of Complex Dynamical Networks With Time-Varying Coupling Delay Based on Sampled-Data Control via New Integral Inequality2169-353610.1109/ACCESS.2021.3076361https://doaj.org/article/9aa62617d4a94653aa2054b1c3806a6f2021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9417175/https://doaj.org/toc/2169-3536In this work, the issue of synchronization control for complex dynamical networks with time-varying coupling delay based on sampled-data is addressed. First, the sampled-data control is transformed into the bounded sampling period with time-varying delay. As a result, this model is converted to the investigation for synchronization of complex networks with multiple time-varying delays. Second, an appropriate Lyapunov-Krasovkii functional (LKF) is constructed, which composites of double and triple integral terms in quadratic form. Third, we propose a new integral inequality including a reciprocally convex technique which leads to a better condition. Fourth, the solution for the controller gain matrix is obtained by solving linear matrix inequalities (LMIs) with available software such that the synchronization error system is exponentially stable. Finally, the effectiveness and less conservatism of our proposed method are demonstrated via numerical examples.Arthit HongsriThongchai BotmartWajaree WeeraPrem JunsawangIEEEarticleSampled-data controlcomplex dynamical networks (CDNs)time-varying coupling delaydelay-dependent criteriasynchronizationElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 64958-64971 (2021)
institution DOAJ
collection DOAJ
language EN
topic Sampled-data control
complex dynamical networks (CDNs)
time-varying coupling delay
delay-dependent criteria
synchronization
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
spellingShingle Sampled-data control
complex dynamical networks (CDNs)
time-varying coupling delay
delay-dependent criteria
synchronization
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
Arthit Hongsri
Thongchai Botmart
Wajaree Weera
Prem Junsawang
New Delay-Dependent Synchronization Criteria of Complex Dynamical Networks With Time-Varying Coupling Delay Based on Sampled-Data Control via New Integral Inequality
description In this work, the issue of synchronization control for complex dynamical networks with time-varying coupling delay based on sampled-data is addressed. First, the sampled-data control is transformed into the bounded sampling period with time-varying delay. As a result, this model is converted to the investigation for synchronization of complex networks with multiple time-varying delays. Second, an appropriate Lyapunov-Krasovkii functional (LKF) is constructed, which composites of double and triple integral terms in quadratic form. Third, we propose a new integral inequality including a reciprocally convex technique which leads to a better condition. Fourth, the solution for the controller gain matrix is obtained by solving linear matrix inequalities (LMIs) with available software such that the synchronization error system is exponentially stable. Finally, the effectiveness and less conservatism of our proposed method are demonstrated via numerical examples.
format article
author Arthit Hongsri
Thongchai Botmart
Wajaree Weera
Prem Junsawang
author_facet Arthit Hongsri
Thongchai Botmart
Wajaree Weera
Prem Junsawang
author_sort Arthit Hongsri
title New Delay-Dependent Synchronization Criteria of Complex Dynamical Networks With Time-Varying Coupling Delay Based on Sampled-Data Control via New Integral Inequality
title_short New Delay-Dependent Synchronization Criteria of Complex Dynamical Networks With Time-Varying Coupling Delay Based on Sampled-Data Control via New Integral Inequality
title_full New Delay-Dependent Synchronization Criteria of Complex Dynamical Networks With Time-Varying Coupling Delay Based on Sampled-Data Control via New Integral Inequality
title_fullStr New Delay-Dependent Synchronization Criteria of Complex Dynamical Networks With Time-Varying Coupling Delay Based on Sampled-Data Control via New Integral Inequality
title_full_unstemmed New Delay-Dependent Synchronization Criteria of Complex Dynamical Networks With Time-Varying Coupling Delay Based on Sampled-Data Control via New Integral Inequality
title_sort new delay-dependent synchronization criteria of complex dynamical networks with time-varying coupling delay based on sampled-data control via new integral inequality
publisher IEEE
publishDate 2021
url https://doaj.org/article/9aa62617d4a94653aa2054b1c3806a6f
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AT thongchaibotmart newdelaydependentsynchronizationcriteriaofcomplexdynamicalnetworkswithtimevaryingcouplingdelaybasedonsampleddatacontrolvianewintegralinequality
AT wajareeweera newdelaydependentsynchronizationcriteriaofcomplexdynamicalnetworkswithtimevaryingcouplingdelaybasedonsampleddatacontrolvianewintegralinequality
AT premjunsawang newdelaydependentsynchronizationcriteriaofcomplexdynamicalnetworkswithtimevaryingcouplingdelaybasedonsampleddatacontrolvianewintegralinequality
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