Practical Predefined-Time Synchronization for Complex Networks With Time-Varying Coupling via Intermittent Dynamic Event-Triggered Control

This paper proposes an aperiodically intermittent dynamic event-triggered control (AIDE-TC) to investigate the practical predefined-time synchronization (PTS) for complex networks (CNs) with time-varying coupling. Notably, the proposed AIDE-TC strategy is based on the average control rate, which makes the theoretical conditions more applicable to practical scenarios. In contrast to fixed-time synchronization, we design a time-varying function to ensure that all states of CNs converge to a common adjustable region within a user-defined time. Moreover, unlike the existing literature that considers bounded time-varying coupling weights, this paper employs average time-varying coupling weights to relax the requirements for the coupling weights. More importantly, a new auxiliary function is designed to overcome the difficulties caused by intermittent control in practical PTS. By constructing a Lyapunov function with the auxiliary function, we derive the practical PTS criterion for CNs with time-varying coupling. Meanwhile, the Zeno phenomenon is excluded when the coupling weights have an upper bound. Finally, we present a numerical simulation applied to an islanded microgrid system to verify the effectiveness of the obtained results.