Self‐Triggered Impulsive Control for Quasi‐Synchronization of Delayed Memristive Neural Networks

ABSTRACT This paper investigated the quasi‐synchronization (QS) problem of delayed memristive neural networks (DMNNs) by using a self‐triggered impulsive control (STIC) strategy. Based on the Razumikhin‐type comparison approach for impulsive systems, this study derived the expression of the QS error bound and established several sufficient conditions for achieving QS. Additionally, it was proved that there was no Zeno behavior at the impulsive moments. In the STIC mechanism, the timing of the impulses is determined by a self‐triggered mechanism (STM). Compared with the event‐triggered impulsive control (ETIC) strategy, the STIC strategy predicts the next impulse instant by using the information from the last impulse instant and the system states, thereby eliminating the need for continuous monitoring of the system states required in the ETIC mechanism. This approach significantly reduces communication costs and the consumption of computational resources. Finally, the effectiveness of the theoretical results is verified through a numerical simulation.