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Journal Articles Comptes Rendus. Mathématique Year : 2012

Controllability of cascade coupled systems of multi-dimensional evolution PDEs by a reduced number of controls

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Abstract

We prove controllability results for abstract systems of weakly coupled N evolution equations in cascade by a reduced number of boundary or locally distributed controls ranging from a single up to N−1 controls. We give applications to cascade coupled systems of N multi-dimensional hyperbolic, parabolic and diffusive equations.
Nous démontrons quʼil est possible de contrôler des systèmes de N équations dʼévolution faiblement couplées en cascade par un nombre réduit de contrôles frontière ou localement distribués, le nombre de contrôle pouvant varier de 1 à N−1. Nous donnons des applications aux systèmes couplés multi-dimensionnels en cascade hyperboliques, paraboliques et de Schrödinger.

Dates and versions

hal-00801875 , version 1 (18-03-2013)

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Cite

Fatiha Alabau-Boussouira. Controllability of cascade coupled systems of multi-dimensional evolution PDEs by a reduced number of controls. Comptes Rendus. Mathématique, 2012, 350 (11-12), pp.577-582. ⟨10.1016/j.crma.2012.05.009⟩. ⟨hal-00801875⟩
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