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Exponential stability of recurrent neural networks with time-varying discrete and distributed delays

机译:时滞离散和分布时滞的递归神经网络的指数稳定性

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摘要

This paper is concerned with the problems of determining the global exponential stability and estimating the exponential-convergence rate for a class of recurrent neural networks (RNNs) with mixed discrete and distributed delays. By constructing an appropriate Lyapunov-Krasovskii functional and employing linear matrix inequality (LMI) technique, new delay-dependent exponential-stability criteria are derived in term of LMIs and the exponential-convergence rate is estimated. Numerical examples are given to show the effectiveness and improvement of the obtained results.
机译:本文涉及确定具有混合离散和分布时滞的一类递归神经网络(RNN)的全局指数稳定性和估计指数收敛率的问题。通过构造适当的Lyapunov-Krasovskii泛函并采用线性矩阵不等式(LMI)技术,根据LMI推导了新的依赖于延迟的指数稳定性准则,并估计了指数收敛速度。数值例子说明了所获得结果的有效性和改进。

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