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

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Issued Date

2013

Resource Type

Article

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application/pdf

ISSN

1110757X

DOI

10.1155/2013/367457

Other identifier(s)

2-s2.0-84876558389

Rights Holder(s)

Scopus

Bibliographic Citation

Journal of Applied Mathematics. Vol 2013, No. (2013), p.-

Suggested Citation

Botmart T., Niamsup P. Delay-dependent synchronization for complex dynamical networks with interval time-varying and switched coupling delays. Journal of Applied Mathematics. Vol 2013, No. (2013), p.-. doi:10.1155/2013/367457 Retrieved from: https://hdl.handle.net/20.500.14740/6672

Title

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

Author(s)

Botmart T.
 Niamsup P.

Abstract

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.

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https://hdl.handle.net/20.500.14740/6672

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Scopus: Year 1983-2021

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