Event-Based Pinning Strategy for Synchronizing Memristive Neural Networks With Delays

Abstract

This brief proposes a novel event-based pinning strategy for reaching synchronization of a typical class of delayed memristive neural network (MNN) under a master-slave framework. By initially injecting the pinning signal into the neuron with maximal synchrony error, the control is then switched between the neurons according to certain well-designed triggering condition. By incorporating the Lyapunov function method with some Halanay-type inequality, it is proved that such a design suffices to synchronize two MNNs with an exponential rate. It is worth to mention that the restriction of diffusive coupling for conventional pinning control schemes is unnecessary herein, and the gain used here keeps fixed which can thus avoid certain drawback of existing pinning strategies for synchronizing MNNs. A numerical example is finally given to demonstrate the feasibility and performance of the proposed design.