Lethargy results in LTI system modelling
type: Item
instance of: scholarly article
title: Lethargy results in LTI system modelling
zbMATH Open document ID: 0949.93009
DOI: 10.1016/S0005-1098(98)00051-X
published in: Automatica
publication date: 1999-08-22T00:00:00Z
review text: Modeling of linear time-invariant (LTI) systems is studied in an approximate modelling framework motivated by modern robust control theory. Many lethargy (negative) results are given an existence of coprime factorizations, on stabilization and on rational approximation. The relationship between \(H_\infty\) methods and bounded power signal spaces is studied. Different definitions of the important finite power signal setup are studied and new results given.
reviewed by: Yves Cherruault
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 1325738
zbMATH Keywords: linear systems
zbMATH Keywords: \(H_\infty\) methods
zbMATH Keywords: approximate modelling
zbMATH Keywords: robust control
zbMATH Keywords: coprime factorizations
zbMATH Keywords: stabilization
zbMATH Keywords: rational approximation
zbMATH Keywords: bounded power signal spaces
author: P. M. Mäkilä
author: Jonathan R. Partington
MaRDI profile type: Publication
full work available at URL: s0005-1098(98)00051-x
OpenAlex ID: W2077517141
description: scientific article; zbMATH DE number 1325738