A note on Hurwitz stability of matrices (Q1295152)
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scientific article; zbMATH DE number 1325733
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on Hurwitz stability of matrices |
scientific article; zbMATH DE number 1325733 |
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A note on Hurwitz stability of matrices (English)
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22 August 1999
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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.
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negative definite matrices
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Hurwitz matrix
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cone
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