A note on Hurwitz stability of matrices
type: Item
instance of: scholarly article
title: A note on Hurwitz stability of matrices
zbMATH Open document ID: 0934.93052
DOI: 10.1016/S0005-1098(97)00217-3
author: Guangren Duan
author: Ron J. Patton
published in: Automatica
publication date: 1999-08-22T00:00:00Z
review text: It was shown that, given a matrix \(A\), if \(A+A^T<0\) then \(A\) is a Hurwitz matrix. In this paper it is shown that a Hurwitz matrix may be factorized as \(A=GL\) where \(G+G^T>0\) and \(L=L^T>0\). It is also shown that the set of all Hurwitz matrices in \(R^n\) is a simply connected cone in \(R^n\) with its vertex at the origin.
reviewed by: Vladimir Răsvan
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 1325733
zbMATH Keywords: negative definite matrices
zbMATH Keywords: Hurwitz matrix
zbMATH Keywords: cone
MaRDI profile type: Publication
full work available at URL: s0005-1098(97)00217-3
OpenAlex ID: W2012582060
description: scientific article; zbMATH DE number 1325733