Boundary null controllability of convection-diffusion equations with constraints on the state and application to the identification of boundary pollution parameters - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal of Control Année : 2023

Boundary null controllability of convection-diffusion equations with constraints on the state and application to the identification of boundary pollution parameters

Contrôlabilité frontière à zéro pour les équations de convection-diffusion avec contrainte sur l'état et application à l'identification de paramètres de pollution frontière

Résumé

We study a null controllability problem for a convection-diffusion equation with the control contained in Fourier boundary condition to identify M parameters of pollution. The results are achieved by means of an observability inequality derived from new Carleman estimates for the boundary null controllability and the construction of a boundary sentinel to identify the parameters.
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Dates et versions

hal-04135397 , version 1 (20-06-2023)

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Arnaud Fournier, James Larrouy. Boundary null controllability of convection-diffusion equations with constraints on the state and application to the identification of boundary pollution parameters. International Journal of Control, 2023, pp.1. ⟨10.1080/00207179.2023.2227898⟩. ⟨hal-04135397⟩
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