The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks

The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks

We consider a class of complex networks with both delayed and nondelayed coupling. In particular, we consider the situation for both time delay-independent and time delay-dependent complex dynamical networks and obtain sufficient conditions for their asymptotic synchronization by using the Lyapunov-...

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Main Authors: Ze Tang, Jianwen Feng
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2012/309289
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spelling doaj-c80163ed4bcd48aea7fc30625e2476a52021-07-02T05:40:28ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392012-01-01201210.1155/2012/309289309289The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical NetworksZe Tang0Jianwen Feng1College of Mathematics and Computational Sciences, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Sciences, Shenzhen University, Shenzhen 518060, ChinaWe consider a class of complex networks with both delayed and nondelayed coupling. In particular, we consider the situation for both time delay-independent and time delay-dependent complex dynamical networks and obtain sufficient conditions for their asymptotic synchronization by using the Lyapunov-Krasovskii stability theorem and the linear matrix inequality (LMI). We also present some simulation results to support the validity of the theories.http://dx.doi.org/10.1155/2012/309289
collection DOAJ
language English
format Article
sources DOAJ
author Ze Tang
Jianwen Feng
spellingShingle Ze Tang
Jianwen Feng
The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks
Advances in Mathematical Physics
author_facet Ze Tang
Jianwen Feng
author_sort Ze Tang
title The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks
title_short The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks
title_full The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks
title_fullStr The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks
title_full_unstemmed The Asymptotic Synchronization Analysis for Two Kinds of Complex Dynamical Networks
title_sort asymptotic synchronization analysis for two kinds of complex dynamical networks
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2012-01-01
description We consider a class of complex networks with both delayed and nondelayed coupling. In particular, we consider the situation for both time delay-independent and time delay-dependent complex dynamical networks and obtain sufficient conditions for their asymptotic synchronization by using the Lyapunov-Krasovskii stability theorem and the linear matrix inequality (LMI). We also present some simulation results to support the validity of the theories.
url http://dx.doi.org/10.1155/2012/309289
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