Adaptive generalized matrix projective lag synchronization between two different complex networks with non-identical nodes and different dimensions

doi:10.1088/1674-1056/21/12/120508

Abstract The adaptive generalized matrix projective lag synchronization between two different complex networks with non-identical nodes and different dimensions is investigated in this paper. Based on Lyapunov stability theory and Barbalat's lemma, generalized matrix projective lag synchronization criteria is derived by using the adaptive control method. Furthermore, each network can be undirected or directed, connected or disconnected, and nodes in either network may have identical or different dynamics. The proposed strategy is applicable to almost all kinds of complex networks. In addition, numerical simulation results are presented to illustrate the effectiveness of this method, showing that the synchronization speed is sensitively influenced by the adaptive law strength, the network size, and the network topological structure.

Keywords: complex networks generalized matrix projective lag synchronization adaptive control Lyapunov stability theory

Received: 31 March 2012
Revised: 27 April 2012
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)
	89.75.Hc	(Networks and genealogical trees)

Corresponding Authors: Jia Li-Xin
E-mail: gongqi112@163.com

Cite this article:

Dai Hao (戴浩), Jia Li-Xin (贾立新), Zhang Yan-Bin (张彦斌) Adaptive generalized matrix projective lag synchronization between two different complex networks with non-identical nodes and different dimensions 2012 Chin. Phys. B 21 120508

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Adaptive generalized matrix projective lag synchronization between two different complex networks with non-identical nodes and different dimensions

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