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线性时变系统辨识的神经网络方法
引用本文:毛云英,王萍,杨正方,王辅敏,洪梅. 线性时变系统辨识的神经网络方法[J]. 天津大学学报(自然科学与工程技术版), 2000, 33(2): 247-251
作者姓名:毛云英  王萍  杨正方  王辅敏  洪梅
作者单位:天津大学理学院!天津300072(毛云英,王萍,杨正方),天津大学电子信息工程学院!天津300072(王辅敏),上海交通大学电子信息工程学院!上海200240(洪梅)
基金项目:国家自然科学基金资助项目! (697740 12 )
摘    要:构造了一种用于线性时变系统辨 神经网络,研究了它对线性时变控制系统的逼近能力。在以L^2(0,t1);R^m的任意一个有界子集为控制函数集上,神经网络具有一致逼近线性时变系统的状态的能力,了采用标准正交系作为样本的 训练方法,按照这种方法训练后,在由这个标准正交系所生成的L^2「O,t1」;R^)的空间上,神经网络的输出一致逼近线性时变系统的状态。

关 键 词:线性时变系统 系统辨识 神经网络 标准正交系

NEURAL NETWORKS METHOD FOR THE LINEAR TIME-VARYING SYSTEM IDENTIFICATION
MAO Yun-ying,WANG Ping,YANG Zheng-fang,WANG Fu-min,HONG Mei. NEURAL NETWORKS METHOD FOR THE LINEAR TIME-VARYING SYSTEM IDENTIFICATION[J]. Journal of Tianjin University(Science and Technology), 2000, 33(2): 247-251
Authors:MAO Yun-ying  WANG Ping  YANG Zheng-fang  WANG Fu-min  HONG Mei
Abstract:This paper presents a neural network which can be used to identify linear time varying systems.The capatility of approximating linear time varying control systems on this neural network is studied.On any control functions set which is the bounded subset of L 2([0,t 1];R m),the neural network has the capatility of approximating uniform state of the linear time varying systems.We develep a new training method in which a normal orthogonal system is used as sample.After training according to this method,the output of the neural network can approximate uniform state of the linear time varying system on the subspace of L 2([0,t 1];R m) spun by this normal orthogonal system.
Keywords:linear time varying systems  system identification  neural network  normal orthogonal system
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