Controllability and observability of an artificial advection-diffusion problem

Pierre Cornilleau (1) , Sergio Guerrero (2)

1 ECL - École Centrale de Lyon
2 LJLL - Laboratoire Jacques-Louis Lions

In this paper we study the controllability of an artificial advection-diffusion system through the boundary. Suitable Carleman estimates give us the observability on the adjoint system in the one dimensional case. We also study some basic properties of our problem such as backward uniqueness and we get an intuitive result on the control cost for vanishing viscosity.

Mots clés: Carleman estimates; Controllability

Domaines: Optimisation et contrôle [math.OC]

Pierre Cornilleau, Sergio Guerrero. Controllability and observability of an artificial advection-diffusion problem. 2011. ⟨hal-00377059v4⟩