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https://hdl.handle.net/2440/592
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DC Field | Value | Language |
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dc.contributor.author | Howlett, Phil G. | en |
dc.contributor.author | Torokhti, Anatoli P. | en |
dc.contributor.author | Pearce, Charles Edward Miller | en |
dc.date.issued | 2001 | en |
dc.identifier.citation | Nonlinear Analysis-Theory Methods and Applications, 2001; 47 (8):5559-5572 | en |
dc.identifier.issn | 0362-546X | en |
dc.identifier.uri | http://hdl.handle.net/2440/592 | - |
dc.description.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. | en |
dc.description.statementofresponsibility | P. D. Howlett, A. P. Torokhti and C. E. M. Pearce | en |
dc.description.uri | http://www.elsevier.com/wps/find/journaldescription.cws_home/239/description#description | en |
dc.language.iso | en | en |
dc.publisher | Elsevier | en |
dc.subject | Causal operators, non-linear systems, Stone-Weierstrass theorem | en |
dc.title | The modelling and numerical simulation of causal non-linear systems | en |
dc.type | Journal article | en |
dc.contributor.school | School of Mathematical Sciences : Applied Mathematics | en |
dc.identifier.doi | 10.1016/S0362-546X(01)00659-9 | en |
Appears in Collections: | Applied Mathematics publications |
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