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
AutomatiqueOrigine | Fichiers produits par l'(les) auteur(s) |
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