New criteria on event-triggered cluster synchronization of neutral-type neural networks with Lévy noise and non-Lipschitz condition

Abstract

In this paper, two kinds of the exponential cluster synchronization of stochastic coupled neutral-type neural networks with Lévy noise under non-Lipschitz condition are investigated. The non-Lipschitz condition has much weaker requirement than the usual Lipschitz condition, so the neuron activation functions have a wider range of options. Using the general Itô’s formula and the nonnegative semi-martingale convergence theorem, the general sufficient conditions of two kinds of exponential synchronization are derived for the systems with an event-triggered pinning controller. A numerical example is presented to verify the effectiveness of the proposed criteria.