Stability of inertial delayed neural networks with stochastic delayed impulses via matrix measure method

Abstract

This paper is mainly concerned with the stability of inertial delayed neural networks (IDNNs) with stochastic delayed impulses. In contrast with previous related works, the stochastic impulsive intensity and density, and impulsive delays are considered simultaneously. Firstly, by appropriate variable substitution, the considered IDNNs model is converted to a first order differential equation with stochastic delayed impulsive effect. Secondly, by using the matrix measure approach and some stochastic analysis techniques, the stability criteria of IDNNs with stochastic delayed impulses are presented. Finally, numerical examples are provided to illustrate the obtained theoretical results.