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Zbl 1225.05223
Wen, Sun; Chen, Shihua; Guo, Wanli
Adaptive global synchronization of a general complex dynamical network with non-delayed and delayed coupling. (English)
[J] Phys. Lett., A 372, No. 42, 6340-6346 (2008). ISSN 0375-9601

Summary: This Letter investigates the global synchronization of a general complex dynamical network with non-delayed and delayed coupling. Based on Lasalle's invariance principle, adaptive global synchronization criteria is obtained. Analytical result shows that under the designed adaptive controllers, a general complex dynamical network with non-delayed and delayed coupling can globally asymptotically synchronize to a given trajectory. What is more, the node dynamic need not satisfy the very strong and conservative uniformly Lipschitz condition and the coupling matrix is not assumed to be symmetric or irreducible. Finally, numerical simulations are presented to verify the effectiveness of the proposed synchronization criteria.

MSC 2000:: *05C82
34B45 Boundary value problems on graphs and networks
34D06
34H10
93C40 Adaptive control systems

Keywords: complex network; global synchronization; non-delayed and delayed coupling; adaptive control

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