Mixed H∞H∞/passive synchronization for complex dynamical networks with sampled-data control

This paper deals with the problem of mixed H∞H∞/passive synchronization for complex dynamical networks (CDNs) with time-varying delayed couplings via a sampled-data control scheme. The purpose is focus on designing controller such that the resulting synchronization error system is stable and a mixed H∞H∞/passive performance level is satisfied. By using some new tools to deal with the Lyapunov functional, a sufficient condition which ensures the existence of the desired controller is presented. Based on the condition, an explicit expression for the desired controller is given. Finally, two examples are employed to demonstrate the effectiveness and the reduced conservatism of the proposed method.