Synchronization of discrete dynamical networks with non-delayed and delayed coupling

In this paper, synchronization of discrete dynamical networks with both non-delayed and delayed couplings are studied. Firstly, a class of complex networks with invariable topology structure are considered. Secondly, a class of complex networks with variable topology structure are discussed. Based on Lyapunov function method and linear matrix inequalities, the sufficient conditions for asymptotically local synchronization of the above two classes of networks are presented respectively. Finally, numerical examples are provided to verify our results.