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On Less Conservative Stability Criteria for Neural Networks with Time-Varying Delays Utilizing Wirtinger-Based Integral Inequality

机译:利用维特林格积分不等式的时变时滞神经网络的保守性较小的稳定性准则

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摘要

This paper investigates the problem of stability analysis for neural networks with time-varying delays. By utilizing the Wirtinger-based integral inequality and constructing a suitable augmented Lyapunov-Krasovskii functional, two less conservative delay-dependent criteria to guarantee the asymptotic stability of the concerned networks are derived in terms of linear matrix inequalities (LMIs). Three numerical examples are included to explain the superiority of the proposed methods by comparing maximum delay bounds with the recent results published in other literature.
机译:本文研究时变时滞神经网络的稳定性分析问题。通过利用基于Wirtinger的积分不等式并构建合适的增强Lyapunov-Krasovskii泛函,就线性矩阵不等式(LMI)得出了两个较不保守的时延依赖准则,以保证所关注网络的渐近稳定性。包括三个数值示例,通过将最大延迟范围与其他文献中发表的最新结果进行比较来说明所提出方法的优越性。

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