Stability analysis of recurrent neural networks with time-varying delay and disturbances via quadratic convex technique

Rungroj Sirisongkol, Xiaodong Liu
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引用次数: 1

Abstract

In recent years, the stability of recurrent neural networks (RNNs) has been investigated extensively. It is well known that time delays and external disturbances may derail the stability of RNNs. This paper analyzes the stability of RNNs subject to time-varying delay and disturbances included within time-varying delay. Given a stable neural network, the problem to be explored is how the RNNs remain stable in the presence of delay and external disturbances included within delay. A delay-dependent stability criteria in terms of linear matrix inequalities (LMIs) for RNNs with time-varying delay are derived from the proposed augmented simple Lyapunov-Krasovski function, by applying a second-order convex combination with the property of quadratic convex functions. Simulation results of illustrative numerical examples are also delineated to substantiate the theoretical results.
基于二次凸技术的时变时滞和扰动递归神经网络稳定性分析
近年来,递归神经网络(RNNs)的稳定性得到了广泛的研究。众所周知,时间延迟和外部干扰可能会破坏rnn的稳定性。本文分析了时变时滞下rnn的稳定性以及时变时滞内的扰动。给定一个稳定的神经网络,要探索的问题是rnn如何在存在延迟和包含在延迟中的外部干扰的情况下保持稳定。利用二次凸函数性质的二阶凸组合,从增广简单Lyapunov-Krasovski函数出发,导出了具有时变延迟的rnn的线性矩阵不等式(lmi)的时滞相关稳定性判据。通过数值算例的仿真结果验证了理论结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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