Robust control for synchronization of singular complex delayed networks with stochastic switched coupling

This paper investigates the robust H-infinity control of synchronization for uncertain singular complex delayed networks with stochastic switched coupling. The switched coupling is dependent on a continuous time Markovian process. Based on Lyapunov-Krasovskii stability theory, sufficient conditions for the existence of the H-infinity control laws are given in terms of linear matrix inequalities, which ensure robustly global mean-square synchronization and a prescribed H-infinity disturbance attenuation level for the resulting closed-loop complex networks. Numerical examples are given to illustrate the effectiveness of the proposed method.