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Synchronization for Time‐Delayed Coupling Complex Dynamic Networks with Different Dimensional Nodes Via Decentralized Dynamic Compensation Controllers
Author(s) -
Zhang Lili,
Wang Yinhe,
Wang Qinruo,
Zhang Siying
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.914
Subject(s) - control theory (sociology) , synchronization (alternating current) , nonlinear system , lemma (botany) , compensation (psychology) , manifold (fluid mechanics) , computer science , node (physics) , invariant manifold , discrete time and continuous time , coupling (piping) , complex network , chaotic , topology (electrical circuits) , mathematics , control (management) , engineering , artificial intelligence , physics , ecology , mathematical analysis , psychology , mechanical engineering , structural engineering , quantum mechanics , psychoanalysis , world wide web , biology , poaceae , combinatorics , statistics
The objective of this paper is to investigate the synchronization for nonlinear time‐delayed coupling complex dynamic networks with different dimensional nodes through the use of decentralized dynamic compensation controllers. We propose a nonlinear time‐delayed coupling complex dynamic network model with similar nonlinear nodes, whose dimensions admit differences. For this kind of network model, based on B arbalat's lemma, decentralized dynamic compensation controllers are designed for the state synchronization of the coupled nodes under some mathematical conditions. In addition, the synchronization manifold is defined as an invariant manifold, which is regarded as the generalized case of the networks with the same node dynamics. Finally, numerical examples with chaotic and hyperchaotic nodes are presented to verify the effectiveness of our theoretical results.