Control issues and linear projection constraints on the control and on the controlled trajectory - Institut de Mathématiques de Toulouse Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2019

Control issues and linear projection constraints on the control and on the controlled trajectory

Sylvain Ervedoza

Résumé

The goal of this article is to discuss controllability properties for an abstract linear system of the form $y' = Ay + Bu$ under some additional linear projection constraints on the control $u$ or / and on the controlled trajectory $y$. In particular, we discuss the possibility of imposing the linear projections of the controlled trajectory and of the control, in the context of approximate controllability, exact controllability and null-controllability. As it turns out, in all these settings, for being able to impose linear projection constraints on the trajectory and on the control, we will strongly rely on a unique continuation property for the adjoint system which, to our knowledge, has not been identified so far, and which does not seem classical. We shall therefore provide several instances in which this unique continuation property can be checked.
Fichier principal
Vignette du fichier
Note-ApproxContr-Appl.pdf (377.11 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02276220 , version 1 (02-09-2019)
hal-02276220 , version 2 (04-12-2020)

Identifiants

Citer

Sylvain Ervedoza. Control issues and linear projection constraints on the control and on the controlled trajectory. 2019. ⟨hal-02276220v1⟩
158 Consultations
129 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More