Asynchronous intermittent sampled-data control for delayed complex dynamical networks with Lévy noise

The article researches the synchronization issue of delayed multilink complex dynamical networks with Lévy noise (DMCNL) via asynchronously intermittent sampled-data decentralized control (AISDC). Asynchronous intermittent decentralized control, compared to synchronous intermittent control, is a policy that enables individual node-system to operate with distinct work and rest periods, thereby offering a higher degree of adaptability. Considering that continuous sampling in the control segment may result in resource wastage, a novel policy called AISDC is proposed by integrating the policy above and intermittent sampled-data control. Then, an auxiliary timer is designed for every node-system to make a compromise between regulating work intervals and controlling the rest interval. Moreover, graph theory and the Lyapunov method are combined to establish several synchronization criteria. Finally, numerical examples on a second-order Kuramoto model verify the feasibility of the proposed results.