A note on: Synchronization of continuous dynamical networks with discrete-time communications

This note studies the problem of synchronization for a kind of complex networks with discrete-time couplings, which is also focused in the paper [1]. By the similar way to deal with sampled data control systems, we convert the discrete time coupling issue into an effective time-varying delayed coupling network. Sufficient conditions are derived to guarantee the realization of the synchronization pattern for all initial values based on Lyapunov Stability Theorem and Linear Matrix Inequality (LMI). The results extend and improve upon earlier works especially in [1]. Numerical simulations are employed to demonstrate the effectiveness and validity of the main result.