Synchronization stability of general complex dynamical networks with time-varying delays

Kun Li; Shuguang Guan; Xiaofeng Gong; C. H. Lai

doi:10.1016/j.physleta.2008.10.054

Synchronization stability of general complex dynamical networks with time-varying delays

Kun Li, Shuguang Guan, Xiaofeng Gong, C. H. Lai

National University of Singapore

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

87 Scopus citations

Abstract

The synchronization problem of some general complex dynamical networks with time-varying delays is investigated. Both time-varying delays in the network couplings and time-varying delays in the dynamical nodes are considered. The novel delay-dependent criteria in terms of linear matrix inequalities (LMI) are derived based on free-weighting matrices technique and appropriate Lyapunov functional proposed recently. Numerical examples are given to illustrate the effectiveness and advantage of the proposed synchronization criteria.

Original language	English
Pages (from-to)	7133-7139
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	48
DOIs	https://doi.org/10.1016/j.physleta.2008.10.054
State	Published - 8 Dec 2008
Externally published	Yes

Keywords

Complex network
Linear matrix inequality
Synchronization
Time-varying delay

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10.1016/j.physleta.2008.10.054

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abstract = "The synchronization problem of some general complex dynamical networks with time-varying delays is investigated. Both time-varying delays in the network couplings and time-varying delays in the dynamical nodes are considered. The novel delay-dependent criteria in terms of linear matrix inequalities (LMI) are derived based on free-weighting matrices technique and appropriate Lyapunov functional proposed recently. Numerical examples are given to illustrate the effectiveness and advantage of the proposed synchronization criteria.",

keywords = "Complex network, Linear matrix inequality, Synchronization, Time-varying delay",

author = "Kun Li and Shuguang Guan and Xiaofeng Gong and Lai, \{C. H.\}",

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AU - Guan, Shuguang

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AU - Lai, C. H.

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Y1 - 2008/12/8

N2 - The synchronization problem of some general complex dynamical networks with time-varying delays is investigated. Both time-varying delays in the network couplings and time-varying delays in the dynamical nodes are considered. The novel delay-dependent criteria in terms of linear matrix inequalities (LMI) are derived based on free-weighting matrices technique and appropriate Lyapunov functional proposed recently. Numerical examples are given to illustrate the effectiveness and advantage of the proposed synchronization criteria.

AB - The synchronization problem of some general complex dynamical networks with time-varying delays is investigated. Both time-varying delays in the network couplings and time-varying delays in the dynamical nodes are considered. The novel delay-dependent criteria in terms of linear matrix inequalities (LMI) are derived based on free-weighting matrices technique and appropriate Lyapunov functional proposed recently. Numerical examples are given to illustrate the effectiveness and advantage of the proposed synchronization criteria.

KW - Complex network

KW - Linear matrix inequality

KW - Synchronization

KW - Time-varying delay

UR - https://www.scopus.com/pages/publications/56049109268

U2 - 10.1016/j.physleta.2008.10.054

DO - 10.1016/j.physleta.2008.10.054

M3 - 文章

AN - SCOPUS:56049109268

SN - 0375-9601

VL - 372

SP - 7133

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 48

ER -

Synchronization stability of general complex dynamical networks with time-varying delays

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Keywords

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