New results on exponential stability for Markovian jumping neural networks with time-varying discrete and distributed delays

Abstract

The present paper is concerned with the mean-square exponential stability for a class of Markovian jumping neural networks with time-varying discrete and distributed delays. The discrete delay is assumed to be time-varying and belong to a given interval, where the lower and upper bounds of delay are available. Based on the newly constructed Lyapunov—Krasovskii functional, some new delay-interval-dependent exponential stability criteria are obtained in terms of linear matrix inequalities. Finally, two numerical examples are given to show the effectiveness of the proposed results.