Open Access
2013 Synchronization of Coupled Networks with Uncertainties
Yi Zuo, Xinsong Yang
Abstr. Appl. Anal. 2013: 1-13 (2013). DOI: 10.1155/2013/616289


Asymptotic synchronization for a class of coupled networks with nondelayed and delayed couplings is investigated. A distinct feature of the network is that all the dynamical nodes are affected by uncertain nonlinear nonidentical perturbations. In order to synchronize the network onto a given isolate trajectory, a novel adaptive controller is designed to overcome the effects of the nonidentical uncertain nonlinear perturbations. The designed controller has better robustness than classical adaptive controller, since it can realize the synchronization goal whether the nodes have these perturbations or not. Based on the Lyapunov stability theory and the Barbalat lemma, sufficient conditions guaranteeing the asymptotic synchronization of the coupled network are derived. Two examples with numerical simulations are given to illustrate the effectiveness of the theoretical results. Simulations also demonstrate that our adaptive controller has better robustness than existing ones.


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Yi Zuo. Xinsong Yang. "Synchronization of Coupled Networks with Uncertainties." Abstr. Appl. Anal. 2013 1 - 13, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095171
MathSciNet: MR3139470
Digital Object Identifier: 10.1155/2013/616289

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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