Mixed H∞ /passive sampled-data synchronization control of complex dynamical networks with distributed coupling delay

This paper investigates the problem of the mixed H∞/passive sampled-data synchronization control for complex dynamical networks (CDNs) with distributed coupling delay. The sampled interval is deemed as time-varying. The main purpose is to design a sampled-data controller so as to the synchronization error system (SES) is exponentially stable and satisfies a predefined H∞/passive performance index simultaneously. Some novel auxiliary function-based integral inequalities are applied to reduce the conservativeness of the presented results, and some effective synchronization criteria are addressed. The gains for the desired controller can be designed by settling an optimization issue in view of the proposed criteria. Three examples are employed to demonstrate the less conservativeness and superiority of the addressed method.