Robustness analysis of exponential stability of fuzzy inertial neural networks

Abstract

This paper characterizes the robustness of exponential stability of fuzzy inertial neural network which contains time delays or stochastic disturbance through the estimation of upper limits of perturbations. By utilizing Gronwall-Bellman lemma as well as some inequality techniques, the limits of both time delays and stochastic disturbances are derived in this paper which can make the disturbed system keep exponential stability. And the constraints between the two types of disturbances are provided in this paper. Examples are offered to validate our results.