Synchronization criteria of fuzzy complex dynamical networks with interval time-varying delays

M. J. Park; O. M. Kwon; Ju H. Park; S. M. Lee; E. J. Cha

doi:10.1016/j.amc.2012.05.046

Synchronization criteria of fuzzy complex dynamical networks with interval time-varying delays

M. J. Park, O. M. Kwon, Ju H. Park, S. M. Lee, E. J. Cha

School of Electronics Engineering

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

Abstract

This paper presents new delay-dependent synchronization criteria for fuzzy complex dynamical networks with interval time-varying delays. By construction of a suitable Lyapunov-Krasovskii's (L-K) functional and utilization of Finsler's lemma, new synchronization criteria for the networks are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed methods.

Original language	English
Pages (from-to)	11634-11647
Number of pages	14
Journal	Applied Mathematics and Computation
Volume	218
Issue number	23
DOIs	https://doi.org/10.1016/j.amc.2012.05.046
State	Published - 1 Aug 2012

Keywords

Complex networks
Fuzzy systems
Interval time-varying delays
Lyapunov method
Synchronization

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10.1016/j.amc.2012.05.046

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abstract = "This paper presents new delay-dependent synchronization criteria for fuzzy complex dynamical networks with interval time-varying delays. By construction of a suitable Lyapunov-Krasovskii's (L-K) functional and utilization of Finsler's lemma, new synchronization criteria for the networks are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed methods.",

keywords = "Complex networks, Fuzzy systems, Interval time-varying delays, Lyapunov method, Synchronization",

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AU - Lee, S. M.

AU - Cha, E. J.

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AB - This paper presents new delay-dependent synchronization criteria for fuzzy complex dynamical networks with interval time-varying delays. By construction of a suitable Lyapunov-Krasovskii's (L-K) functional and utilization of Finsler's lemma, new synchronization criteria for the networks are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed methods.

KW - Complex networks

KW - Fuzzy systems

KW - Interval time-varying delays

KW - Lyapunov method

KW - Synchronization

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JF - Applied Mathematics and Computation

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ER -

Synchronization criteria of fuzzy complex dynamical networks with interval time-varying delays

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Keywords

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