Robustness analysis with full-structured uncertainties
type: Item
instance of: scholarly article
title: Robustness analysis with full-structured uncertainties
zbMATH Open document ID: 0903.93007
DOI: 10.1016/S0005-1098(97)00138-6
author: Peter M. Young
published in: Automatica
publication date: 1999-01-06T00:00:00Z
review text: The main idea of the paper is to reduce full structured uncertainty into block-diagonal structure. Then the standard block diagonal problem may be treated by the structured singular value method for robustness analysis. The author proves that \(n^2\) uncertainties in the primary uncertain system may be exactly replaced by \(2n-1\) uncertainties in the block diagonal structure. The results are applicable in a general setting for both robust stability and robust performance problems involving multiple uncertainties. Moreover, the author demonstrate how his results can be used to reduce the number of vertices-to-check real interval matrix problems.
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93B60
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93D09
zbMATH DE Number: 1161170
zbMATH Keywords: structured uncertainty
zbMATH Keywords: block-diagonal structure
zbMATH Keywords: structured singular value method
zbMATH Keywords: robustness analysis
reviewed by: Andrzej Świerniak
describes a project that uses: Mu Analysis and Synthesis Toolbox
MaRDI profile type: Publication
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Wikidata QID: Q127008664
description: scientific article; zbMATH DE number 1161170