STABILITY ANALYSIS OF SINGLE NEURON SYSTEM WITH LEVY NOISE

Abstract

This article addresses the asymptotic stability of single neuron system with neutral delay and Levy noise. Sufficient conditions are derived to ensure that the considered system with Levy noise is asymptotic stable by means of the linear matrix inequality (LMI) approach together with a Lyapunov-Krasovskii functional and stochastic analysis theory. This work provides two examples of application of stability analysis in numerical formulation about the impact of Levy noise on neutral type single neuron model.