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, stochastic analysis, Cauchy inequality, the mean value theorem of integrals, as well as the properties of integrations, the limits of both time delays and stochastic disturbances are derived in this paper which can make the disturbed system keep exponential stability. The constraints between the two types of disturbances are provided in this paper. Examples are offered to validate our results.

中文翻译：

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通过扰动上限估计对模糊惯性神经网络指数稳定性进行鲁棒分析

本文通过扰动上限的估计来表征含有时滞或随机扰动的模糊惯性神经网络指数稳定性的鲁棒性。利用Gronwall-Bellman引理、随机分析、柯西不等式、积分中值定理以及积分的性质，推导了时滞和随机扰动的极限，使受扰系统保持指数分布稳定。本文提供了两种类型干扰之间的约束。提供示例来验证我们的结果。