Approximation and representation of transfer functions of MIMO systems under stability, causality and smoothness constraints

Holger Boche, Volker Pohl

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

The question whether or not there exists a (Schauder) basis in the space of all transfer functions for linear stable systems plays an important roll in system- and control theory because such a basis ensures the existents of stable filter banks. Using a deep result from mathematics, it is shown that there exists no uniformly bounded basis for stable linear systems, in general. Therefore, this paper restricts the set of all transfer functions by additional smoothness requirements and characterizes a large subspace of all causal and stable transfer function for which a Schauder basis exists.

Original languageEnglish
Title of host publicationProceedings of the 38th Southeastern Symposium on System Theory
Pages128-132
Number of pages5
StatePublished - 2006
Externally publishedYes
Event38th Southeastern Symposium on System Theory - Cookeville, TN, United States
Duration: 5 Mar 20067 Mar 2006

Publication series

NameProceedings of the Annual Southeastern Symposium on System Theory
Volume2006

Conference

Conference38th Southeastern Symposium on System Theory
Country/TerritoryUnited States
CityCookeville, TN
Period5/03/067/03/06

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