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时滞神经网络的稳定性准则。

Stability criteria for delayed neural networks.

作者信息

Lu H

机构信息

Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200030, People's Republic of China.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Nov;64(5 Pt 1):051901. doi: 10.1103/PhysRevE.64.051901. Epub 2001 Oct 12.

Abstract

In this paper, delay-independent global asymptotic and exponential stability for a class of delayed neural networks (DNN's) is investigated, and some criteria are established to ensure stability of DNN's by applying the Lyapunov direct method. These criteria are expressed by imposing constraints on weight matrices of the networks, and they are easy to verify and so are applicable in the design of DNN's. Comparisons between our criteria and some earlier results are also made; it is shown that our results generalize some existing criteria in the literature.

摘要

本文研究了一类时滞神经网络(DNN)的与延迟无关的全局渐近稳定性和指数稳定性,并应用李雅普诺夫直接方法建立了一些确保DNN稳定性的准则。这些准则通过对网络权重矩阵施加约束来表示,易于验证,因此适用于DNN的设计。还对我们的准则与一些早期结果进行了比较;结果表明,我们的结果推广了文献中的一些现有准则。

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