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

Published online by Cambridge University Press:  17 February 2009

A. P. Torokhti  and
P. G. Howlett
A. P. Torokhti
Affiliation:
Scheduling and Control Group, CIAM School of Mathematics, University of South Australia, The Levels 5095, Australia
P. G. Howlett
Affiliation:
Scheduling and Control Group, CIAM School of Mathematics, University of South Australia, The Levels 5095, Australia
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 39 , Issue 1 , July 1997 , pp. 1 - 27
Copyright
Copyright © Australian Mathematical Society 1997

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