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

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.
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https://hal.inria.fr/hal-00801875
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Submitted on : Monday, March 18, 2013 - 4:01:49 PM
Last modification on : Friday, November 26, 2021 - 6:00:09 PM

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

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