Approximation of dynamical time-variant systems by continuous-time recurrent neural networks

被引：74

作者：

Li, XD ^{[1
]}

Ho, JKL

Chow, TWS

机构：

[1] City Univ Hong Kong, Dept Mfg Engn & Engn Management, Hong Kong, Hong Kong, Peoples R China

[2] Sun Yat Sen Univ, Dept Elect Engn, Guangzhou, Guangdong, Peoples R China

[3] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2005年 / 52卷 / 10期

关键词：

approximation; dynamical time-variant systems; recurrent neural networks;

D O I：

10.1109/TCSII.2005.852006

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper studies the approximation ability of continuous-time recurrent neural networks to dynamical time-variant systems. It proves that any finite time trajectory of a given dynamical time-variant system can be approximated by the internal state of a continuous-time recurrent neural network. Given several special forms of dynamical time-variant systems or trajectories, this paper shows that they can all be approximately realized by the internal state of a simple recurrent neural network.

引用

页码：656 / 660

页数：5

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