Robust adaptive global synchronization of complex dynamical networks by adjusting time-varying coupling strength

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A new robust adaptive synchronization approach for the global synchronization of complex dynamical networks is proposed. Both the characteristics of the uncoupled nodes of the network and the coupling matrix are unknown, but only a time-varying coupling strength is used in this paper. Based on the LaSalle-Yoshizawa theorem and by introducing an update law, a sufficient condition of the global synchronization is obtained. The update law is only dependent on the states of the complex dynamical network, which do not need any other information such as the characteristic of the uncoupled nodes of the network and the second largest eigenvalue of the coupling matrix. Compared with the existing results, our synchronization strategy is still useful when the existing synchronization methods become invalid. Moreover, it is very convenient to use. An example of the complex network is finally used to verify the proposed theoretical result. (c) 2007 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2008-02
Language
English
Article Type
Article
Keywords

SYSTEMS; STABILITY; ARRAYS

Citation

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v.387, no.5-6, pp.1369 - 1380

ISSN
0378-4371
DOI
10.1016/j.physa.2007.10.063
URI
http://hdl.handle.net/10203/90726
Appears in Collection
EE-Journal Papers(저널논문)
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