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

doi:10.1088/1674-1056/22/9/090504

Abstract This paper deals with the cluster exponential synchronization of a class of complex networks with hybrid coupling 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.

Keywords: complex network cluster exponential synchronization linear matrix inequality time-varying delay

Received: 17 December 2012
Revised: 18 March 2013
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	87.85.dq	(Neural networks)
	02.10.Yn	(Matrix theory)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61074073 and 61034005), the Fundamental Research Funds for the Central Universities of China (Grant No. N110504001), and the Open Project of the State Key Laboratory of Management and Control for Complex Systems, China (Grant No. 20110107).

Corresponding Authors: Zhang Hua-Guang
E-mail: hgzhang@ieee.org

Cite this article:

Wang Jun-Yi (王军义), Zhang Hua-Guang (张化光), Wang Zhan-Shan (王占山), Liang Hong-Jing (梁洪晶) Cluster exponential synchronization of a class of complex networks with hybrid coupling and time-varying delay 2013 Chin. Phys. B 22 090504

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

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