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

Frederic Mazenc; Olivier Bernard

doi:10.1109/TAC.2021.3123245

Journal articles

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

Frederic Mazenc ¹ Olivier Bernard ²

1 DISCO - Dynamical Interconnected Systems in COmplex Environments

Inria Saclay - Ile de France, L2S - Laboratoire des signaux et systèmes

2 BIOCORE - Biological control of artificial ecosystems

CRISAM - Inria Sophia Antipolis - Méditerranée , LOV - Laboratoire d'océanographie de Villefranche, INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement

Abstract : 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.

Keywords : Metzler matrix interval observer Positive system

Document type :

Journal articles

Domain :

Computer Science [cs] / Automatic Control Engineering

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https://hal.inria.fr/hal-03533716
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Submitted on : Friday, January 21, 2022 - 2:51:38 PM
Last modification on : Sunday, May 1, 2022 - 3:16:28 AM
Long-term archiving on: : Friday, April 22, 2022 - 6:47:57 PM

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

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

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