Synchronization of General Complex Networks with Hybrid Couplings and Unknown Perturbations | Zendy

Xinsong Yang | Zendy; Shuang Ai | Zendy; Tingting Su | Zendy; A.O.T. Chang | Zendy

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Synchronization of General Complex Networks with Hybrid Couplings and Unknown Perturbations

Author(s) -

Xinsong Yang,

Shuang Ai,

Tingting Su,

A.O.T. Chang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/625372

Subject(s) - lemma (botany) , mathematics , control theory (sociology) , synchronization (alternating current) , mathematical proof , lyapunov stability , schur complement , a priori and a posteriori , dynamical systems theory , controller (irrigation) , lyapunov function , simple (philosophy) , topology (electrical circuits) , computer science , control (management) , ecology , philosophy , eigenvalues and eigenvectors , physics , geometry , poaceae , epistemology , combinatorics , quantum mechanics , artificial intelligence , nonlinear system , agronomy , biology

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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