Sampled-data synchronization for complex networks based on discontinuous LKF and mixed convex combination

This paper investigates the sampled-data synchronization problem of delayed complex networks with aperiodic sampling interval based on enhanced input delay approach. By introducing an improved discontinuous Lyapunov-Krasovskii functional (LKF), new delay-dependent synchronization criteria are obtained using Wirtinger׳s integral inequality and mixed convex combination, which fully utilize the upper bound on variable sampling interval and the sawtooth structure information of varying input delay. The derived criteria are less conservative than the existing ones. In addition, the desired sampled-data controllers are obtained by solving a set of linear matrix inequalities. Finally, numerical examples are provided to demonstrate the feasibility of the proposed method.