Aperiodically Intermittent Dynamic Event-Triggered Control for Predefined-Time Synchronization of Stochastic Complex Networks

In this paper, the problem of practical predefined-time synchronization in mean square (PTSMS) of stochastic complex networks (SCNs) is investigated through dynamic event-triggered control (E-TC). Different from the existing literature, this paper considers the dynamic E-TC in an aperiodically intermittent control framework and employs the average control rate, which makes it easier to satisfy the conditions of the theorem. In comparison to existing finite-time and fixed-time synchronization, by introducing the time-varying function, it can be guaranteed that all states of SCNs achieve the practical PTSMS within a preset time without calculating the convergence time. Combined with stochastic analysis theory, the practical PTSMS criterion for aperiodically intermittent dynamic event-triggered control (AIDE-TC) is derived by constructing a Lyapunov function with an auxiliary function. In addition, all event generators for AIDE-TC proposed in this paper ensure a minimum inter-event interval for each sample path solution, thus excluding Zeno behavior. Finally, to demonstrate that the model in this paper can be applied to real-world networks, the theoretical results are verified by an application of the Kuramoto oscillator networks.