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Journal Articles IEEE Transactions on Automatic Control Year : 2021

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

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.
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Dates and versions

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

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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⟩
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