Cluster exponential synchronization of a class of complex networks with hybrid coupling and time-varying delay

This paper deals with the cluster exponential synchronization of a class ot complex networks wlm nyorm coupm~g and time-varying delay. Through constructing an appropriate Lyapunov-Krasovskii functional and applying the theory of the Kronecker product of matrices and the linear matrix inequality （LMI...

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Published inChinese physics B Vol. 22; no. 9; pp. 324 - 334
Main Author 王军义 张化光 王占山 梁洪晶
Format Journal Article
LanguageEnglish
Published 01.09.2013
Subjects
Clusters
Computer simulation
Delay
Derivatives
Joining
Kronecker积
Lyapunov-Krasovskii泛函
Networks
Synchronism
Synchronization
Time delay
动力耦合
同步条件
复杂网络
时变时滞
混合
线性矩阵不等式
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/22/9/090504

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Summary:This paper deals with the cluster exponential synchronization of a class ot complex networks wlm nyorm coupm~g and time-varying delay. Through constructing an appropriate Lyapunov-Krasovskii functional and applying the theory of the Kronecker product of matrices and the linear matrix inequality （LMI） technique, several novel sufficient conditions for cluster exponential synchronization are obtained. These cluster exponential synchronization conditions adopt the bounds of both time delay and its derivative, which are less conservative. Finally, the numerical simulations are performed to show the effectiveness of the theoretical results.
Bibliography:complex network, cluster exponential synchronization, linear matrix inequality, time-varying de-lay
11-5639/O4
This paper deals with the cluster exponential synchronization of a class ot complex networks wlm nyorm coupm~g and time-varying delay. Through constructing an appropriate Lyapunov-Krasovskii functional and applying the theory of the Kronecker product of matrices and the linear matrix inequality （LMI） technique, several novel sufficient conditions for cluster exponential synchronization are obtained. These cluster exponential synchronization conditions adopt the bounds of both time delay and its derivative, which are less conservative. Finally, the numerical simulations are performed to show the effectiveness of the theoretical results.
Wang Jun-Yi, Zhang Hua-Guang, Wang Zhan-Shan, and Liang Hong-Jing（ College of Information Science and Engineering, Northeastern University, Shenyang 110819, China）
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/9/090504