Computation of the structured stability radius via matrix sign function
type: Item
instance of: scholarly article
title: Computation of the structured stability radius via matrix sign function
zbMATH Open document ID: 0820.93049
DOI: 10.1016/0167-6911(94)90031-0
author: Frank Filbir
published in: Systems \& Control Letters
publication date: 1995-09-14T00:00:00Z
review text: The paper considers the problem of robustness of stability for linear continuous-time finite-dimensional dynamical systems. Using the matrix sign function defined in the first part of the paper an efficient algorithm to compute the stability radius is presented. The discrete-time case is also considered. Finally, a simple numerical example is given. Moreover, remarks and comments on the relationships between different algorithms for computing the stability radius are presented. Similar robustness problems have been recently considered in the paper [\textit{D. Hinrichsen} and \textit{N. K. Son}, Int. J. Robust Nonlinear Control 1, No. 2, 79-97 (1991; Zbl 0754.93060)].
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B40
zbMATH DE Number: 579967
zbMATH Keywords: robustness
zbMATH Keywords: stability
zbMATH Keywords: linear
zbMATH Keywords: stability radius
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
full work available at URL: 0167-6911(94)90031-0
OpenAlex ID: W1992130232
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description: scientific article; zbMATH DE number 579967