Prescribed-Time Asynchronously Aperiodic Intermittent Dynamic Event-Triggered Control for Synchronization of Complex Networks

This paper addresses the prescribed-time synchronization (PTS) problem of complex networks (CNs) under asynchronously aperiodic intermittent dynamic event-triggered control (AAIDE-TC). A novel asynchronous controller is designed by integrating the intermittent control (IC) scheme with the event-triggered control (E-TC) mechanism. By introducing a time-varying function into the controller, the networks’ convergence time can be constrained within any prescribed time. Furthermore, in the E-TC strategy, dynamic and exponential terms are introduced to extend the intervals between triggering events and numerical simulation verifies its effects in reducing control cost. The IC approach adopts an average control rate rather than the conventional minimal control rate, making the synchronization conditions of the networks met more easily. Additionally, a global Lyapunov function is established by adopting Kirchhoff’s Matrix Tree Theorem, thereby relaxing the requirements for coupling matrix. Consequently, a synchronization criterion of the CNs under AAIDE-TC is derived, and its accuracy and validity are verified through a numerical simulation of coupled single-link manipulators.