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Synchronization of Uncertain Complex Networks with Time‐Varying Node Delay and Multiple Time‐Varying Coupling Delays
Author(s) -
Zhang Chuan,
Wang Xingyuan,
Wang Chunpeng,
Zhou Wenjie
Publication year - 2018
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.1539
Subject(s) - control theory (sociology) , synchronization (alternating current) , bounded function , lyapunov stability , computer science , complex network , node (physics) , simple (philosophy) , coupling (piping) , linear matrix inequality , mathematics , topology (electrical circuits) , control (management) , mathematical optimization , engineering , mechanical engineering , mathematical analysis , philosophy , structural engineering , epistemology , combinatorics , artificial intelligence , world wide web
This paper investigates the synchronization problem of a class of complex dynamical networks via an adaptive control method. It differs from existing works in considering intrinsic delay and multiple different time‐varying coupling delays, and uncertain couplings. A simple approach is used to linearize the uncertainties with the norm‐bounded condition. Simple but suitable adaptive controllers are designed to drive all nodes of the complex network locally and globally synchronize to a desired state. In addition, several synchronization protocols are deduced in detail by virtue of Lyapunov stability theory and a Cauchy matrix inequality. Finally, a simulation example is presented, in which the dynamics of each node are time‐varying delayed Chua chaotic systems, to demonstrate the effectiveness of the proposed adaptive method.