ON NORM AND TIME OPTIMAL CONTROLS FOR SYSTEMS DESCRIBED BY LINEAR PARABOLIC PDES
Sur les contrôles de norme minimal et en temps optimal pour des systèmes décrits par des EDP paraboliques linéaires
Résumé
This work proposes a general theory of norm and time optimal control for a class of null controllable systems. We provide sufficient conditions for the existence and uniqueness of optimal controls, the bang-bang property and for the equivalence between norm and time optimal control problems. The obtained abstract theorems allow us to obtain several new results for systems described by parabolic PDEs, with distributed or boundary controls.
Origine | Fichiers produits par l'(les) auteur(s) |
---|