An event-triggered impulsive approach to pinning synchronization of neural networks with impulse delays

Abstract

This paper presents an event-triggered pinning impulsive control framework for neural network synchronization. An innovative event-triggered pinning impulsive control scheme is designed to regulate impulsive signals in the presence of impulse delays. A Lyapunov-based method is employed to flexibly update impulsive sequences, explicitly removing restrictions on the maximum or average length of impulsive intervals. Sufficient conditions are established to guarantee global exponential synchronization of neural networks with impulse delays, with Zeno behavior rigorously excluded. Moreover, a cooperative design guideline for the event-triggering mechanism and the pinning impulsive controller is provided. It is further shown that the proposed scheme is applicable to impulsive control systems with large impulse delays and enables synchronization through controlling only a subset of nodes, thereby yielding significant savings in resources devoted to information transmission and control execution. Two numerical simulations are conducted to validate the performance of the proposed approach.