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

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 a...

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Bibliographic Details
Published in:Chinese physics B 2012-12, Vol.21 (12), p.141-152
Main Author: 戴浩 贾立新 张彦斌
Format: Article
Language:English
Subjects:
Computer simulation
Criteria
Dynamics
Lyapunov稳定性理论
Mathematical models
Networks
Stability
Strategy
Synchronism
Synchronization
同步
复杂网络
广义矩阵
延迟
投影
自适应控制
节点
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Summary: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 are 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.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/12/120508