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A systematic method for analyzing robust stability of interval neural networks with time-delays based on stability criteria

机译:基于稳定性准则的时滞区间神经网络鲁棒稳定性分析的系统方法

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摘要

This paper presents a systematic method for analyzing the robust stability of a class of interval neural networks with uncertain parameters and time delays. The neural networks are affected by uncertain parameters whose values are time-invariant and unknown, but bounded in given compact sets. Several new sufficient conditions for the global asymptotic/exponential robust stability of the interval delayed neural networks are derived. The results can be casted as linear matrix inequalities (LMIs), which are shown to be generalizations of some existing conditions. Compared with most existing results, the presented conditions are less conservative and easier to check. Two illustrative numerical examples are given to substantiate the effectiveness and applicability of the proposed robust stability analysis method.
机译:本文提出了一种系统的方法,用于分析一类不确定参数和时滞的区间神经网络的鲁棒稳定性。神经网络受到不确定参数的影响,该不确定参数的值是时不变且未知的,但以给定的紧凑集为界。推导了区间延迟神经网络的全局渐近/指数鲁棒稳定性的几个新的充分条件。结果可以转换为线性矩阵不等式(LMI),显示为某些现有条件的概括。与大多数现有结果相比,提出的条件较不保守,更易于检查。给出了两个说明性的数值示例,以证实所提出的鲁棒稳定性分析方法的有效性和适用性。

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