Novel criteria for exponential synchronization of inner time-varying complex networks with coupling delay
Zhang Qun-Jiao(张群娇)a)† and Zhao Jun-Chan(赵军产)a)b)
a. College of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, China;
b. Laboratoire de Mathématiques Appliquées, Universite du Havre, Le Havre Cedex, 76058, France
Abstract This paper mainly investigates the exponential synchronization of an inner time-varying complex network with coupling delay. Firstly, the synchronization of complex networks is decoupled into the stability of the corresponding dynamical systems. Based on the Lyapunov function theory, some sufficient conditions to guarantee its stability with any given convergence rate are derived, thus the synchronization of the networks is achieved. Finally, the results are illustrated by a simple time-varying network model with a coupling delay. All involved numerical simulations verify the correctness of the theoretical analysis.
Fund: Project supported in part by the National Natural Science Foundation of China(Grant No.11047114),the Key Project of theChinese Ministry of Education(Grant No.210141),and the Youth Foundation of the Educational Committee of Hubei Provinceof China(Grant Nos.Q20111607 and Q20111611)
Zhang Qun-Jiao(张群娇) and Zhao Jun-Chan(赵军产) Novel criteria for exponential synchronization of inner time-varying complex networks with coupling delay 2012 Chin. Phys. B 21 040502
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