On the constructive approximation of non-linear operators in the modelling of dynamical systems

被引：16
|
作者：
Torokhti, AP
Howlett, PG
机构：
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS | 1997年 / 39卷
关键词：
D O I：
10.1017/S0334270000009188
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we propose a systematic theoretical procedure for the constructive approximation of non-linear operators and show how this procedure can be applied to the modelling of dynamical systems. We extend previous work to show that the model is stable to small disturbances in the input signal and we pay special attention to the role of real number parameters in the modelling process. The implications of computability are also discussed. A number of specific examples are presented for the particular purpose of illustrating the theoretical procedure.
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页码：1 / 27
页数：27
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