Sufficient conditions for robust BIBO stabilization: Given by the gap metric
type: Item
instance of: scholarly article
title: Sufficient conditions for robust BIBO stabilization: Given by the gap metric
zbMATH Open document ID: 0651.93056
DOI: 10.1016/0167-6911(88)90111-9
author: S. H. Smith
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: For a standard unity feedback structure denoted by H(P,C), where P and C represent the transfer matrices of the plant and the compensator respectively, and which is BIBO stable for its nominal \(P_ 0\) and \(C_ 0\), the authors prove the following main result: If \(\delta (C,C_ 0)+\delta (P,P_ 0)<w^{-1}\), then H(P,C) is BIBO stable, where \(\delta\) symbolises the gap metric and w depends on the right and respectively left coprime fraction pairs of \(P_ 0\) and \(C_ 0\).
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 4062958
zbMATH Keywords: robust bounded-input bounded-output stability
zbMATH Keywords: unity feedback structure
zbMATH Keywords: gap metric
zbMATH Keywords: coprime fraction
reviewed by: Mihail Voicu
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90111-9
OpenAlex ID: W2125066231
cites work: Q3922546
cites work: Simplifications and clarifications on the paper 'An algebra of transfer functions for distributed linear time-invariant systems'
cites work: Q5202096
cites work: Q5526483
cites work: The gap metric: Robustness of stabilization of feedback systems
cites work: Q5526485
cites work: Q5638711
cites work: On the factorization of rational matrices depending on a parameter
cites work: The graph metric for unstable plants and robustness estimates for feedback stability
cites work: Q3802944
cites work: Graph topology and gap topology for unstable systems
cites work: Q5531981
description: scientific article; zbMATH DE number 4062958