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A note on functional observability

Rotella, Frédéric and Zambettakis, Irène A note on functional observability. (2016) IEEE Transactions on Automatic Control, 61 (10). 3197-3202. ISSN 0018-9286

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Official URL: https://doi.org/10.1109/TAC.2015.2509448


In this note, we propose an alternative to characterize the functional observability for linear systems. The main feature is that we obtain a necessary and sufficient condition for the existence of a stable multi-functional observer of a time-invariant linear system. The proof of this condition is constructive and it leads to design a stable observer via a new procedure, neither based on the solution of a Sylvester equation nor on the use of canonical state space forms.

Item Type:Article
Additional Information:© 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
HAL Id:hal-01944479
Audience (journal):International peer-reviewed journal
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Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
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Deposited On:21 Nov 2018 09:28

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