Oct 17 – 20, 2023
LAAS
Europe/Paris timezone

Null-controllability of underactuated linear parabolic-transport systems with constant coefficients

Oct 19, 2023, 3:00 PM
1h
Salle de Conférence (LAAS)

Salle de Conférence

LAAS

Speaker

Pierre LISSY

Description

I will present controllability properties of mixed systems of linear parabolic-transport equations, with possibly nondiagonalizable diffusion matrix, on the 1D torus, coupled by constant coupling terms. The distributed control acts through a constant matrix, with possibly less controls than equations. In small time or for not regular enough initial data, these systems are never controllable, whereas in large time, null-controllability holds, for regular initial data, iff a spectral Kalman rank condition is verified. This is a joint work with Armand Koenig.

Presentation materials