Open Access
2013 Synchronization of General Complex Networks with Hybrid Couplings and Unknown Perturbations
Xinsong Yang, Shuang Ai, Tingting Su, Ancheng Chang
Abstr. Appl. Anal. 2013(SI22): 1-14 (2013). DOI: 10.1155/2013/625372


The issue of synchronization for a class of hybrid coupled complex networks with mixed delays (discrete delays and distributed delays) and unknown nonstochastic external perturbations is studied. The perturbations do not disappear even after all the dynamical nodes have reached synchronization. To overcome the bad effects of such perturbations, a simple but all-powerful robust adaptive controller is designed to synchronize the complex networks even without knowing a priori the functions and bounds of the perturbations. Based on Lyapunov stability theory, integral inequality Barbalat lemma, and Schur Complement lemma, rigorous proofs are given for synchronization of the complex networks. Numerical simulations verify the effectiveness of the new robust adaptive controller.


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Xinsong Yang. Shuang Ai. Tingting Su. Ancheng Chang. "Synchronization of General Complex Networks with Hybrid Couplings and Unknown Perturbations." Abstr. Appl. Anal. 2013 (SI22) 1 - 14, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1271.93054
MathSciNet: MR3035375
Digital Object Identifier: 10.1155/2013/625372

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI22 • 2013
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