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Generalized chaos synchronization is one of the most active research topics in nonlinear science.The generalized chaos synchronization phenomenon has the following feature:the trajectories of two different systems converge to each other with respect to a transformation starting from different initial conditions.Since the pioneering work of Pecora and Carroll,[1] chaos synchronization has been extensively developed.[2-11] Chaos synchronization has found potential applications in secure communication,[1,3,12]chemical reactions,[9] biological science,[13] and information processing.[14] As a few examples,Lü,Yu and Chen[15] investigated the generalized synchronization (GS) of a time-varying complex network and showed that the chaos synchronization of the network is determined by means of the inner coupled link matrix.Wu and Jiao[16] showed that the dynamics of some nonsymmetric coupling networks are not always characterized by the second-largest eigenvalue of its Laplacian matrix.