Improved Stability Results for Stochastic Cohen–Grossberg Neural Networks with Discrete and Distributed Delays

Abstract

This paper is concerned with the exponential stability problem for a class of stochastic Cohen-Grossberg neural networks with discrete and unbounded distributed time delays. By applying the Jensen integral inequality and the generalized Jensen integral inequality, several improved delay-dependent criteria are developed to achieve the exponential stability in mean square in terms of linear matrix inequalities. It is established theoretically that two special cases of the obtained criteria are less conservative than some existing results but including fewer slack variables. As the present conditions involve fewer free weighting matrices, the computational burden is largely reduced. Three numerical examples are provided to demonstrate the effectiveness of the theoretical results.

Novel Stochastic Stability Conditions of Fuzzy Neural Networks With Markovian Jumping Parameters Under Impulsive Perturbations

“…Remark 1. If we set ν = 1, µ = 3, then we get Lemma 3 of [33] from Lemma 5. Thus, based on Lemma 5, we can get some sufficient conditions of stochastic stability problem with less conservativeness.…”

Mean square delay dependent-probability-distribution stability analysis of neutral type stochastic neural networks

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