Synchronization for complex dynamical networks with time delay and discrete-time information

The synchronization problem is studied for complex dynamical networks (CDNs) with time delay based on discrete-time communication pattern. A new Lyapunov functional is proposed, which is positive definite at communication instants but not necessarily positive definite inside the communication intervals, and can make full use of the available information about the discrete-time communication pattern. Based on the Lyapunov functional, an exponential synchronization criterion is proposed to ensure the synchronization of the considered CDNs. The effectiveness of the developed results are shown by the numerical simulation.