Synchronization of neutral complex dynamical networks with coupling time-varying delays

D. H. Ji; D. W. Lee; J. H. Koo; S. C. Won; S. M. Lee; Ju H. Park

doi:10.1007/s11071-010-9896-y

Synchronization of neutral complex dynamical networks with coupling time-varying delays

D. H. Ji, D. W. Lee, J. H. Koo, S. C. Won, S. M. Lee, Ju H. Park

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Abstract

In this paper, the synchronization problem for a class of neutral complex dynamical networks with coupling time-varying delays is considered. A delay-dependent synchronization criterion is derived for the synchronization of neutral complex dynamical networks. By the use of a convex representation of the sector-restricted nonlinearity in system dynamics, the stability condition based on the discretized Lyapunov-Krasovskii functional is obtained via LMI (linear matrix inequality) formulation. The effectiveness of our work is verified through a numerical example and simulation.

Original language	English
Pages (from-to)	349-358
Number of pages	10
Journal	Nonlinear Dynamics
Volume	65
Issue number	4
DOIs	https://doi.org/10.1007/s11071-010-9896-y
State	Published - Sep 2011

Keywords

Complex dynamical networks
LMI
Neutral delay
Synchronization

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10.1007/s11071-010-9896-y

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title = "Synchronization of neutral complex dynamical networks with coupling time-varying delays",

abstract = "In this paper, the synchronization problem for a class of neutral complex dynamical networks with coupling time-varying delays is considered. A delay-dependent synchronization criterion is derived for the synchronization of neutral complex dynamical networks. By the use of a convex representation of the sector-restricted nonlinearity in system dynamics, the stability condition based on the discretized Lyapunov-Krasovskii functional is obtained via LMI (linear matrix inequality) formulation. The effectiveness of our work is verified through a numerical example and simulation.",

keywords = "Complex dynamical networks, LMI, Neutral delay, Synchronization",

author = "Ji, {D. H.} and Lee, {D. W.} and Koo, {J. H.} and Won, {S. C.} and Lee, {S. M.} and Park, {Ju H.}",

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AU - Ji, D. H.

AU - Lee, D. W.

AU - Koo, J. H.

AU - Won, S. C.

AU - Lee, S. M.

AU - Park, Ju H.

PY - 2011/9

Y1 - 2011/9

N2 - In this paper, the synchronization problem for a class of neutral complex dynamical networks with coupling time-varying delays is considered. A delay-dependent synchronization criterion is derived for the synchronization of neutral complex dynamical networks. By the use of a convex representation of the sector-restricted nonlinearity in system dynamics, the stability condition based on the discretized Lyapunov-Krasovskii functional is obtained via LMI (linear matrix inequality) formulation. The effectiveness of our work is verified through a numerical example and simulation.

AB - In this paper, the synchronization problem for a class of neutral complex dynamical networks with coupling time-varying delays is considered. A delay-dependent synchronization criterion is derived for the synchronization of neutral complex dynamical networks. By the use of a convex representation of the sector-restricted nonlinearity in system dynamics, the stability condition based on the discretized Lyapunov-Krasovskii functional is obtained via LMI (linear matrix inequality) formulation. The effectiveness of our work is verified through a numerical example and simulation.

KW - Complex dynamical networks

KW - LMI

KW - Neutral delay

KW - Synchronization

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VL - 65

SP - 349

EP - 358

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 4

ER -

Synchronization of neutral complex dynamical networks with coupling time-varying delays

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