Aperiodically Intermittent Control for Prescribed-Time Synchronization of Stochastic Complex Networks

This paper tackles the challenge of achieving prescribed-time synchronization (PTS) for stochastic complex networks (SCNs) under the framework of aperiodically intermittent control (AIC). The adoption of a time-varying function ensures all states of the SCNs reach synchronization at the preset time. Compared with the PTS under the framework of deterministic systems, the introduction of stochastic disturbances has more practical significance. Introducing an auxiliary function makes the Lyapunov method mentioned in this paper valid under the AIC framework. Moreover, the AIC proposed in this paper relies on the average control rate instead of the infimum control rate, leading to less conservative results. At last, the viability of the theoretical results is confirmed by a simulation of a strongly connected digraph.