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When is a Matrix of Dimension 3 Similar to a Metzler Matrix ? Application to Interval Observer Design
- Source :
- IEEE Transactions on Automatic Control, IEEE Transactions on Automatic Control, 2021, pp.1-1. ⟨10.1109/TAC.2021.3123245⟩
- Publication Year :
- 2021
- Publisher :
- HAL CCSD, 2021.
-
Abstract
- International audience; 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.
Details
- Language :
- English
- ISSN :
- 00189286
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Automatic Control, IEEE Transactions on Automatic Control, 2021, pp.1-1. ⟨10.1109/TAC.2021.3123245⟩
- Accession number :
- edsair.od.......165..e48cee13c2d7fe06b6fa11ed573e26ae
- Full Text :
- https://doi.org/10.1109/TAC.2021.3123245⟩