Dissipative-based sampled-data synchronization control for complex dynamical networks with time-varying delay

This paper is concerned with dissipative-based sampled-data synchronization control problem for complex dynamical networks with time-varying delay. The main purpose is focused on designing a sampled-data synchronization controller such that the resulting synchronization error system is stable and satisfies a strictly (Q,R,S)-θ-dissipative property. A delay-dependent Lyapunov-Krasovskii functional (LKF) and some novel integral inequalities are adopted to make full use of the boundedness information of the sampling period. Then, some sufficient conditions which ensure the synchronization error system is stable and strictly (Q, R,S)-θ-dissipative are derived. Based on these conditions, a desired sampled-data controller is designed by a simple decoupling matrix method. Finally, two examples are employed to show the effectiveness and the reduced conservatism of the presented scheme.