When is a Matrix of Dimension 3 Similar to a Metzler Matrix ? Application to Interval Observer Design - Inria - Institut national de recherche en sciences et technologies du numérique
Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2021

When is a Matrix of Dimension 3 Similar to a Metzler Matrix ? Application to Interval Observer Design

Résumé

A simple necessary and sufficient condition ensuring that a real matrix of dimension 3 is similar to a Metzler matrix is exhibited. When this condition is satisfied, a construction of the transfer matrix is given. This construction is used to design an interval observer for a family of continuous-time systems. An example is provided with interval observer design for the so-called love dynamics in the case of limit cycles.

Domaines

Automatique
Fichier principal
Vignette du fichier
MazencBernard_221_33.pdf (2.17 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03533716 , version 1 (21-01-2022)

Identifiants

Citer

Frederic Mazenc, Olivier Bernard. When is a Matrix of Dimension 3 Similar to a Metzler Matrix ? Application to Interval Observer Design. IEEE Transactions on Automatic Control, 2021, pp.1-1. ⟨10.1109/TAC.2021.3123245⟩. ⟨hal-03533716⟩
71 Consultations
209 Téléchargements

Altmetric

Partager

More