2016-07-052016-07-052007-11-15Ammar-Khodja, F., Benabdallah, A., Dupaix, C. y González Burgos, M. (2007). Controllability for a class of reaction-diffusion systems: the generalized Kalman's condition. Comptes Rendus Mathematique, 345 (10), 543-548.1631-073Xhttp://hdl.handle.net/11441/43133In this article, we study the controllability of a class of parabolic systems of the form Yt = (D∆+A)Y +Bχωu with Dirichlet conditions on the boundary of a bounded domain Ω, where ω ⊂ Ω is a subdomain. Here D, A ∈ L(R n ), B ∈ L(R m; R n ) and we prove that the algebraic Kalman condition extends to such systems.Dans cet article, on étudie la contrôlabilité d’une classe de systèmes paraboliques de la forme Yt = (D∆ + A)Y + Bχωu avec des conditions de Dirichlet sur le bord d’un domaine born Ω, o`u ω ⊂ Ω est un sous-domaine. Ici D, A ∈ L(R n ), B ∈ L(R m; R n ) et on montre que la condition algébrique de Kalman s’étend à de tels systèmes.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1016/j.crma.2007.10.023https://idus.us.es/xmlui/handle/11441/43133