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dc.contributor.authorHowlett, Phil G.en
dc.contributor.authorTorokhti, Anatoli P.en
dc.contributor.authorPearce, Charles Edward Milleren
dc.identifier.citationNonlinear Analysis-Theory Methods and Applications, 2001; 47 (8):5559-5572en
dc.description.abstractTo 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.statementofresponsibilityP. D. Howlett, A. P. Torokhti and C. E. M. Pearceen
dc.subjectCausal operators, non-linear systems, Stone-Weierstrass theoremen
dc.titleThe modelling and numerical simulation of causal non-linear systemsen
dc.typeJournal articleen
dc.contributor.schoolSchool of Mathematical Sciences : Applied Mathematicsen
Appears in Collections:Applied Mathematics publications

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