A class of nonlinear state observers for an SIS system counting primo-infections

Fang, Marcel; Bliman, Pierre-Alexandre; Efimov, Denis; Ushirobira, Rosane

Type de document :

Communication dans un congrès avec actes

Titre :

A class of nonlinear state observers for an SIS system counting primo-infections

Auteur(s) :

Fang, Marcel [Auteur]
Modelling and Analysis for Medical and Biological Applications [MAMBA]
Laboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
Bliman, Pierre-Alexandre [Auteur]
Modelling and Analysis for Medical and Biological Applications [MAMBA]
Laboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Ushirobira, Rosane [Auteur]

Finite-time control and estimation for distributed systems [VALSE]

Titre de la manifestation scientifique :

IEEE CDC 2022 - 61st IEEE Conference on Decision and Control

Ville :

Cancún

Pays :

Mexique

Date de début de la manifestation scientifique :

2022-12-06

Discipline(s) HAL :

Mathématiques [math]/Optimisation et contrôle [math.OC]

Résumé en anglais : [en]

Observation and identification are important issues for the practical use of compartmental models of epidemic dynamics. They are usually evaluated based on the number of infected individuals (the prevalence) or the newly ...
Lire la suite >Observation and identification are important issues for the practical use of compartmental models of epidemic dynamics. They are usually evaluated based on the number of infected individuals (the prevalence) or the newly infected cases (the incidence). We are interested in a general question: may the measure of the number of primo-infected individuals and the prevalence improve state estimation? To study this question, we analyze in this paper a simple model of infection with waning immunity and, consequently, the possibility of reinfections. A class of nonlinear observers is built for this model, and tractable sufficient conditions on the gain matrices are established, ensuring asymptotic convergence of the state estimate towards its actual value. Numerical simulations illustrate the method.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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https://hal.archives-ouvertes.fr/hal-03775928/document
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https://hal.archives-ouvertes.fr/hal-03775928/document
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SISObserver-0911.pdf
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SISObserver-0911.pdf
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