On the constructive approximation of non-linear operators in the modelling of dynamical systems-Reference-Cited by-同舟云学术

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

Published:1997-07 Issue:1 Volume:39 Page:1-27
ISSN:0334-2700
Container-title:The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
language:en
Short-container-title:J. Aust. Math. Soc. Series B, Appl. Math

Author:

Torokhti A. P.,Howlett P. G.

Abstract

AbstractIn 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

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