用小波网络辨识离散非线性系统

刘则毅;喻文焕

系统科学与数学 ›› 2005, Vol. 25 ›› Issue (2) : 187-195.

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PDF(379 KB)
系统科学与数学 ›› 2005, Vol. 25 ›› Issue (2) : 187-195. DOI: 10.12341/jssms09523
论文

用小波网络辨识离散非线性系统

    刘则毅(1),喻文焕(2)
作者信息 +

IDENTIFICATION OF DISCRETE AND NONLINEAR SYSTEMS BY USE OF WAVELET NEURAL NETWORKS

    Liu Zeyi(1),Yu Wenhuan(2)
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文章历史 +

摘要

本文用具紧支集的尺度函数之张量乘积构成人工神经网络的基函数, 再由这个小波神经网络辨识静态与动态的离散线性系统, 并且证明了依所给的方法产生的模型是收敛的.最后,用 一个仿真例子,说明如何实现算法及算法的效果.

Abstract

In this paper, the tensor product of a scale function with compact support set is introduced to be used a base function for a artificial neural network. Based on the wavelet neural network static and dynamic, discrete-time, nonlinear systems are identified and it is proved that the identification error converge to zero according to the given law. Finally, a numerical simulation example is presented to illustrate the presented algorithm and the effectiveness of the method.

关键词

辨识 / 非线性离散系统 / 小波 / 人工神经网络

Key words

Identification / nonlinear discrete-time systems / wavelet / neural network

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导出引用
刘则毅 , 喻文焕. 用小波网络辨识离散非线性系统. 系统科学与数学, 2005, 25(2): 187-195. https://doi.org/10.12341/jssms09523
Liu Zeyi , Yu Wenhuan. IDENTIFICATION OF DISCRETE AND NONLINEAR SYSTEMS BY USE OF WAVELET NEURAL NETWORKS. Journal of Systems Science and Mathematical Sciences, 2005, 25(2): 187-195 https://doi.org/10.12341/jssms09523
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