Sampled-Data Synchronization of Complex Networks Based on Discontinuous Lyapunov-Krasovskii Functional

In this chapter, we investigate 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, the new delay-dependent synchronization criteria are obtained by adopting Wirtinger’s integral inequality and mixed convex combination, which fully utilizes 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 LMIs. Finally, numerical examples are provided to demonstrate the feasibility of the proposed method.