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

Chin. Phys. B ›› 2012, Vol. 21 ›› Issue (12): 120508-120508.doi: 10.1088/1674-1056/21/12/120508

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

戴浩, 贾立新, 张彦斌

State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2012-03-31 修回日期:2012-04-27 出版日期:2012-11-01 发布日期:2012-11-01

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

Dai Hao (戴浩), Jia Li-Xin (贾立新), Zhang Yan-Bin (张彦斌)

State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

Received:2012-03-31 Revised:2012-04-27 Online:2012-11-01 Published:2012-11-01
Contact: Jia Li-Xin E-mail:gongqi112@163.com

摘要/Abstract

摘要： 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.

关键词: complex networks, generalized matrix projective lag synchronization, adaptive control, Lyapunov stability theory

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.

Key words: complex networks, generalized matrix projective lag synchronization, adaptive control, Lyapunov stability theory

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Gg (Control of chaos, applications of chaos) 89.75.Hc (Networks and genealogical trees)

戴浩, 贾立新, 张彦斌. Adaptive generalized matrix projective lag synchronization between two different complex networks with non-identical nodes and different dimensions[J]. Chin. Phys. B, 2012, 21(12): 120508-120508.

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[J]. Chin. Phys. B, 2012, 21(12): 120508-120508.

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

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

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