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

机译:中立型随机神经网络的均方延迟依赖概率分布稳定性分析

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The aim of this manuscript is to investigate the mean square delay dependent-probability-distribution stability analysis of neutral type stochastic neural networks with time-delays. The time-delays are assumed to be interval time-varying and randomly occurring. Based on the new Lyapunov-Krasovskii functional and stochastic analysis approach, a novel sufficient condition is obtained in the form of linear matrix inequality such that the delayed stochastic neural networks are globally robustly asymptotically stable in the mean-square sense for all admissible uncertainties. Finally, the derived theoretical results are validated through numerical examples in which maximum allowable upper bounds are calculated for different lower bounds of time-delay. (C) 2015 ISA. Published by Elsevier Ltd. All rights reserved.
机译:该手稿的目的是研究具有时滞的中立型随机神经网络的均方延迟依赖概率分布稳定性分析。假定该时滞是间隔时变的,并且是随机发生的。基于新的Lyapunov-Krasovskii函数和随机分析方法,以线性矩阵不等式的形式获得了一个新颖的充分条件,使得对于所有可容许的不确定性,延迟的随机神经网络在均方意义上全局鲁棒地渐近稳定。最后,通过数值示例验证了导出的理论结果,其中针对不同的时延下限计算了最大允许上限。 (C)2015 ISA。由Elsevier Ltd.出版。保留所有权利。

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