Flatness approach for the boundary controllability of a system of heat equations - INRIA - Institut National de Recherche en Informatique et en Automatique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Flatness approach for the boundary controllability of a system of heat equations

Résumé

We study the boundary controllability of $2 × 2$ system of heat equations by using a flatness approach. According to the relation between the diffusion coefficients of the heat equation, it is known that the system can be not null-controllable or null-controllable for any $T > T_0$ where $T_0 \in [0, \infty]$. Here we recover this result in the case that $T_0 \in [0, \infty)$ by using the flatness method, and we obtain an explicit formula for the control and for the corresponding solutions. In particular, the state and the control have Gevrey regularity in time and in space.
Fichier principal
Vignette du fichier
ColleLoheacTakahashi2023.pdf (342.07 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04119834 , version 1 (06-06-2023)

Identifiants

  • HAL Id : hal-04119834 , version 1

Citer

Blaise Colle, Jérôme Lohéac, Takéo Takahashi. Flatness approach for the boundary controllability of a system of heat equations. 2023. ⟨hal-04119834⟩
133 Consultations
54 Téléchargements

Partager

Gmail Facebook X LinkedIn More