A State-Observer-Based Approach for Synchronization in Complex Dynamical Networks

In this paper, a new approach for synchronization of complex dynamical networks is proposed based on state observer design. Unlike the common diagonally coupling networks, where full state coupling is typically needed between two nodes, here it is suggested that only a scalar coupling signal is requ...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. 1, Fundamental theory and applications Fundamental theory and applications, 2006-12, Vol.53 (12), p.2739-2745
Main Authors: Jiang, Guo-Ping, Tang, Wallace Kit-Sang, Chen, Guanrong
Format: Article
Language:English
Subjects:
Chaos
Chaotic communication
Circuit simulation
Circuits
Complex dynamical network
Complex networks
Coupling circuits
Dynamical systems
Educational institutions
Joining
Linear matrix inequalities
linear matrix inequality (LMI)
Lyapunov method
Lyapunov stability
Mathematical model
Network topology
Networks
Scalars
state observer
State observers
Synchronism
Synchronization
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Summary:In this paper, a new approach for synchronization of complex dynamical networks is proposed based on state observer design. Unlike the common diagonally coupling networks, where full state coupling is typically needed between two nodes, here it is suggested that only a scalar coupling signal is required to achieve network synchronization. Some conditions for synchronization, in the form of an inequality, are established based on the Lyapunov stability theory, which can be transformed to a linear matrix inequality and easily solved by a numerical toolbox. Two typical dynamical network configurations, i.e., global coupling and nearest-neighbor coupling, with each node being a modified Chua's circuit, are simulated. It is demonstrated that the proposed scheme is effective in achieving the expected chaos synchronization in the complex network
ISSN:1549-8328
1057-7122
1558-0806
DOI:10.1109/TCSI.2006.883876