Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2026

Observer-based output feedback for an age-dependent SIRD model

Résumé

This paper deals with control of an epidemic, on the basis of an age-dependent Susceptible-Infected-Recovered-Deceased (SIRD) model, and appropriate immunization strategy. Initially, the well-posedness and the stability of the open-loop system are examined, and it is shown that non-negative control laws reduce the peak number of infections. The use of a high gain observer is then proposed to ensure the possible implementation of any kind of such a feedback law, showing that the stability of the resulting closed-loop system is preserved. Finally, numerical simulations are conducted to validate the approach.

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Dates et versions

hal-05426597 , version 1 (19-12-2025)

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Candy Sonveaux, Christophe Prieur, Gildas Besancon, Joseph Winkin. Observer-based output feedback for an age-dependent SIRD model. IEEE Transactions on Automatic Control, 2026, 71 (1), pp.583-589. ⟨10.1109/TAC.2025.3600590⟩. ⟨hal-05426597⟩
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