Some hierarchical control problems for parabolic systems

par Luz De Teresa

mardi 7 mars 2023, 10:00 → 11:00 Europe/Paris

Salle J.Cavailles 1R2-132 (IMT)

Abstract:
In this talk we present controlled systems when two or more controls act on the system with different objectives.
For example, one of the controls has a null controllability objective and the other one one wants to minimize a functional.
As in game theory, one of the controls acts on the system (the leader) and the other reacts to this action (the follower).
We will illustrate different results for the heat equation and present a new result for the Boussinesq system.