Globally exponential synchronization for dynamical networks with discrete-time communications

We present a new synchronization criterion in discrete-time communications for CDNs (complex dynamical networks) in this paper, which global exponential convergence is achieved. Between every two different nodes, the communications are discrete-time, at the same time between each two of the communication instants, the intervals are time-varying and assumed to be bounded. We use time-dependent Lyapunov functional approach to give globally exponential conditions under the criterion for synchronization of CDNs, with less conservatism and decision variables compared with some other existing results, such that the available information could take full advantage of the actual discrete-time communication pattern. Some simulations results are given at the end to show the effectiveness.