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

Fatiha Alabau-Boussouira (1)

1 LMAM - Laboratoire de Mathématiques et Applications de Metz

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 controls. We give applications to cascade coupled systems of N multi-dimensional hyperbolic, parabolic and diffusive equations.

Domaines: Optimisation et contrôle [math.OC]; Equations aux dérivées partielles [math.AP]; Mathématiques [math]

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-03895084⟩