Dissipative Synchronization of Semi-Markov Jump Complex Dynamical Networks via Adaptive Event-Triggered Sampling Control Scheme

This article investigates the dissipative synchronization of complex dynamical networks (CDNs) with semi-Markov switching topological structures. First, by introducing a semi-Markov process, the model we investigated is more practical and stands for an extension of the Markov jump CDNs that have been widely studied. Second, an adaptive event-triggered sampling controller is newly proposed for semi-Markov jump CDNs, unlike the periodic event-triggered control scheme, the adaptive event-triggered sampling control strategy can further reduce the controller’s update frequency by adaptively adjusting its threshold. Moreover, with the help of a novel two-sided looped-functional and some advanced inequality techniques, the conservatism of the obtained result is greatly reduced. A sufficient synchronization condition that ensures the stochastic stability of the error system is established. Finally, to show the validity and superiority of the proposed method, several examples including some comparisons and applications are given in the simulation part.