Indirect controllability of locally coupled systems under geometric conditions

Fatiha Alabau-Boussouira (1, 2, 3) , Matthieu Léautaud (4)

1 LMAM - Laboratoire de Mathématiques et Applications de Metz
2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
3 CORIDA - Robust control of infinite dimensional systems and applications
4 LJLL - Laboratoire Jacques-Louis Lions

We consider systems of two wave/heat/Schrödinger-type equations coupled by a zero order term, only one of them being controlled. We prove an internal and a boundary null-controllability result in any space dimension, provided that both the coupling and the control regions satisfy the Geometric Control Condition. This includes several examples in which these two regions have an empty intersection.

Domaines: Equations aux dérivées partielles [math.AP]

Fatiha Alabau-Boussouira, Matthieu Léautaud. Indirect controllability of locally coupled systems under geometric conditions. Comptes Rendus. Mathématique, 2011, 349 (7-8), pp.395-400. ⟨10.1016/j.crma.2011.02.004⟩. ⟨hal-00617910⟩