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具有时变延迟的延迟神经网络的指数稳定性分析

An analysis of exponential stability of delayed neural networks with time varying delays.

作者信息

Arik Sabri

机构信息

Department of Computer Engineering, Istanbul University, 34320 Avcilar, Istanbul, Turkey.

出版信息

Neural Netw. 2004 Sep;17(7):1027-31. doi: 10.1016/j.neunet.2004.02.001.

DOI:10.1016/j.neunet.2004.02.001
PMID:15312844
Abstract

This paper derives a new sufficient condition for the exponential stability of the equilibrium point for delayed neural networks with time varying delays by employing a Lyapunov-Krasovskii functional and using Linear Matrix Inequality (LMI) approach. This result establishes a relation between the delay time and the parameters of the network. The result is also compared with the most recent result derived in the literature.

摘要

本文通过使用Lyapunov-Krasovskii泛函并采用线性矩阵不等式(LMI)方法,推导了具有时变延迟的神经网络平衡点指数稳定性的一个新的充分条件。该结果建立了延迟时间与网络参数之间的关系。还将该结果与文献中最近得到的结果进行了比较。

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