Synchronization of complex dynamical networks with discrete time delays on time scales

This paper investigates the global exponential synchronization problem in arrays of complex networks with time delays based on the theory of calculus on time scales, Lyapunov functional and linear matrix inequality technique, and derives several sufficient criteria to ensure the global exponential synchronization for the considered networks. It is shown that the synchronization conditions of complex dynamical networks on time scales are different from those derived for conventional continuous or discrete complex networks. Moreover, the presented results of this paper indicate that the globally synchronization problems with both discrete time case and continuous time case can be addressed in a unified framework.