Pinning synchronization of time-varying delay coupled complex networks with time-varying delayed dynamical nodes

doi:10.1088/1674-1056/21/5/050508

Abstract This paper deals with the pinning synchronization of nonlinearly coupled complex networks with time-varying coupling delays and time-varying delays in the dynamical nodes. We control a part of the nodes of the complex networks by using adaptive feedback controllers and adjusting the time-varying coupling strengths. Based on the Lyapunov--Krasovskii stability theory for functional differential equations and a linear matrix inequality (LMI), some sufficient conditions for the synchronization are derived. A numerical simulation example is also provided to verify the correctness and the effectiveness of the proposed scheme.

Keywords: complex networks adaptive feedback controllers time-varying delays pinning controllers

Received: 27 July 2011
Revised: 27 April 2012
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 70871056) and the Six Talents Peak Foundation of Jiangsu Province, China (Grant No. 2010-JY70-025).

Cite this article:

Wang Shu-Guo(王树国) and Yao Hong-Xing(姚洪兴) Pinning synchronization of time-varying delay coupled complex networks with time-varying delayed dynamical nodes 2012 Chin. Phys. B 21 050508

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Pinning synchronization of time-varying delay coupled complex networks with time-varying delayed dynamical nodes

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