Passivity Analysis of Stochastic Neural Networks With Multiple Time Delays

Abstract

This paper deals with the problem of passivity analysis for stochastic neural networks with leakage, discrete and distributed delays. By using delay partitioning technique, free weighting matrix method and stochastic analysis technique, several sufficient conditions for the passivity of the addressed neural networks are established in terms of linear matrix inequalities (LMIs), in which both the time-delay and its time derivative can be fully considered. A numerical example is given to show the usefulness and effectiveness of the obtained results. Keywords—Passivity, Stochastic neural networks, Multiple time delays, Linear matrix inequalities (LMIs).