We present a necessary and sufficient condition for the existence of a real diagonal matrix such that its product with a given real square matrix is Hurwitz together with all its principal submatrices. We also give an explicit formula for a matrix which, in particular, supplies all the involved matrices with negative distinct eigenvalues.
A necessary and sufficient condition for the stabilisation of a matrix and its principal submatrices
LOCATELLI, ARTURO;SCHIAVONI, NICOLA LUIGI
2012-01-01
Abstract
We present a necessary and sufficient condition for the existence of a real diagonal matrix such that its product with a given real square matrix is Hurwitz together with all its principal submatrices. We also give an explicit formula for a matrix which, in particular, supplies all the involved matrices with negative distinct eigenvalues.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
LAA11436 - Finale rivista.pdf
Accesso riservato
:
Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione
350.58 kB
Formato
Adobe PDF
|
350.58 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
