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Elementary formulae for social distancing scenarios: Application to COVID-19 mitigation via feedback control

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 of various kinds. Although an identification procedure is presented, a good knowledge of the recovery rate is not necessary for our control strategy. Several convincing computer experiments are displayed.
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https://hal-polytechnique.archives-ouvertes.fr/hal-03414354
Contributor : Michel Fliess Connect in order to contact the contributor
Submitted on : Thursday, November 4, 2021 - 12:38:24 PM
Last modification on : Wednesday, November 10, 2021 - 4:07:30 AM
Long-term archiving on: : Saturday, February 5, 2022 - 6:42:44 PM

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  • HAL Id : hal-03414354, version 1
  • ARXIV : 2110.01712

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Michel Fliess, Cédric Join. Elementary formulae for social distancing scenarios: Application to COVID-19 mitigation via feedback control. 2021. ⟨hal-03414354⟩

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