Please use this identifier to cite or link to this item:
|Scopus||Web of Science®||Altmetric|
|Title:||The modelling and numerical simulation of causal non-linear systems|
|Author:||Howlett, Phil G.|
Torokhti, Anatoli P.
Pearce, Charles Edward Miller
|Citation:||Nonlinear Analysis-Theory Methods and Applications, 2001; 47 (8):5559-5572|
|School/Discipline:||School of Mathematical Sciences : Applied Mathematics|
|P. D. Howlett, A. P. Torokhti and C. E. M. Pearce|
|Abstract:||To simulate a non-linear system on a digital computer the non-linear mapping from the space of the input signals to the space of the output signals must be represented by a finite arithmetical process. As well as the need to describe elements of the input and output spaces by a finite set of real numbers parameters it is also necessary to find a finite description of the mapping process. For most systems a finite description is not possible and the simulation must be justified by proving an appropriate approximation theorem. Such theorems can be thought of as extensions of the famous Stone-Weierstrass theorem. In this paper we will show that for causal systems defined by a continuous mapping a stable approximation can be constructed using finite arithmetic so that the causal nature of the original system is preserved.|
|Keywords:||Causal operators, non-linear systems, Stone-Weierstrass theorem|
|Appears in Collections:||Applied Mathematics publications|
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.