Title: Robust adaptive synchronisation of complex networks with multiple coupling time-varying delays

Authors: Ping He; Chun-Guo Jing; Tao Fan; Chang-Zhong Chen

Addresses: School of Information Science and Engineering, Northeastern University, 11 Alley 3,Wenhua Road, Shenyang, Liaoning, 110819, China ' School of Computer and Communication Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, Hebei, 066004, China ' School of Automation and Electronic Information, Sichuan University of Science & Engineering, Zigong, Sichuan, 643000, China; Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan University of Science & Engineering, Zigong, Sichuan, 643000, China ' School of Automation and Electronic Information, Sichuan University of Science & Engineering, Zigong, Sichuan, 643000, China; Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan University of Science & Engineering, Zigong, Sichuan, 643000, China

Abstract: The synchronisation problem of complex networks with multiple coupled time-varying delays is investigated in this paper. By using Lyapunov stability theory and robust adaptive principle, several synchronisation criteria are deduced for both complex networks with and without norm uncertainties. The main results show that the states of all nodes of complex networks globally asymptotically synchronise to a desired synchronisation state by designing suitable robust adaptive synchronisation controllers which have strong robustness against the uncertainties in coupling matrices. Finally, several illustrative examples with numerical simulations are given to show the feasibility and robustness of theoretical results.

Keywords: complex networks; synchronisation; multiple time-delay; adaptive control; unified chaotic systems; robust control; controller design; Lyapunov stability; uncertainties; coupling matrices; numerical simulation.

DOI: 10.1504/IJAAC.2013.057370

International Journal of Automation and Control, 2013 Vol.7 No.4, pp.223 - 248

Received: 28 May 2013
Accepted: 02 Aug 2013
Published online: 12 Jul 2014 *

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