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Robust adaptive synchronization of uncertain complex networks with multiple time‐varying coupled delays
Authors:Yin‐Ping Zhao  Ping He  Hassan Saberi Nik  Junchao Ren
Institution:1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, Anhui, People's Republic of China;2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, Liaoning, People's Republic of China;3. School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, People's Republic of China;4. Young Researchers and Elite Club, Neyshabur Branch, Islamic Azad University, Neyshabur, Iran;5. Institute of Systems Science, Northeastern University, Shenyang, Liaoning, People's Republic of China
Abstract:In this article, the synchronization problem of uncertain complex networks with multiple coupled time‐varying delays is studied. The synchronization criterion is deduced for complex dynamical networks with multiple different time‐varying coupling delays and uncertainties, based on Lyapunov stability theory and robust adaptive principle. By designing suitable robust adaptive synchronization controllers that have strong robustness against the uncertainties in coupling matrices, the all nodes states of complex networks globally asymptotically synchronize to a desired synchronization state. The numerical simulations are given to show the feasibility and effectiveness of theoretical results. © 2014 Wiley Periodicals, Inc. Complexity 20: 62–73, 2015
Keywords:complex network  synchronization  multiple time‐delay  adaptive control  unified chaotic system  uncertainty
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