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Feedback control of social distancing for COVID-19 via elementary formulae

Abstract : Social distancing has been enacted in order to mitigate the spread of COVID-19. Like many authors, we adopt the classic epidemic SIR model, where the infection rate is the control variable. Its differential flatness property yields elementary closed-form formulae for open-loop social distancing scenarios, where, for instance, the increase of the number of uninfected people may be taken into account. Those formulae might therefore be useful to decision makers. A feedback loop stemming from model-free control leads to a remarkable robustness with respect to severe uncertainties and mismatches. Although an identification procedure is presented, a good knowledge of the recovery rate is not necessary for our control strategy.
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Submitted on : Friday, January 28, 2022 - 2:55:21 PM
Last modification on : Tuesday, February 8, 2022 - 11:05:15 PM
Long-term archiving on: : Friday, April 29, 2022 - 9:27:27 PM

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Michel Fliess, Cédric Join, Alberto d'Onofrio. Feedback control of social distancing for COVID-19 via elementary formulae. 10th Vienna International Conference on Mathematical Modelling, MATHMOD 2022, Jul 2022, Vienna, Austria. ⟨hal-03547380⟩

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