Abstract and Applied Analysis

Synchronization of Coupled Networks with Uncertainties

Yi Zuo and Xinsong Yang

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 616289, 13 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512198

Digital Object Identifier
doi:10.1155/2013/616289

Mathematical Reviews number (MathSciNet)
MR3139470

Zentralblatt MATH identifier
07095171

Citation

Zuo, Yi; Yang, Xinsong. Synchronization of Coupled Networks with Uncertainties. Abstr. Appl. Anal. 2013 (2013), Article ID 616289, 13 pages. doi:10.1155/2013/616289. https://projecteuclid.org/euclid.aaa/1393512198


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