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Pré-Publication, Document De Travail Année : 2017

Interval observer for uncertain time-varying SIR-SI model of vector-borne disease

Résumé

The issue of state estimation is considered for an SIR-SI model describing a vector-borne disease such as dengue fever, with seasonal variations and uncertainties in the transmission rates. Assuming continuous measurement of the number of new infectives in the host population per unit time, a class of interval observers with estimate-dependent gain is constructed, and asymptotic error bounds are provided. The synthesis method is based on the search for a common linear Lyapunov function for monotone systems representing the evolution of the estimation errors.
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Dates et versions

hal-01493078 , version 1 (20-03-2017)
hal-01493078 , version 2 (10-11-2017)
hal-01493078 , version 3 (07-03-2018)

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Maria Soledad Aronna, Pierre-Alexandre Bliman. Interval observer for uncertain time-varying SIR-SI model of vector-borne disease. 2017. ⟨hal-01493078v1⟩
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