The uniform controllability property of semidiscrete approximations for the parabolic distributed parameter systems in Banach spaces. - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2011

The uniform controllability property of semidiscrete approximations for the parabolic distributed parameter systems in Banach spaces.

Résumé

The problem we consider in this work is to minimize the $L^q$-norm $(q>2)$ of the semidiscrete controls. In the present paper, under the main assumptions that the discretized semigroup is uniformly analytic, and that the control operator is mildly unbounded, we prove that the semidiscrete approximation models are uniformly controllable. Moreover, the minimization procedure to compute the approximation controls is provided. An example of application is implemented for the one dimensional heat equation with Dirichlet boundary control.
Fichier principal
Vignette du fichier
ThuyNguyen.pdf (370.55 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00591000 , version 1 (06-05-2011)
hal-00591000 , version 2 (08-05-2011)
hal-00591000 , version 3 (29-05-2011)
hal-00591000 , version 4 (24-06-2011)

Identifiants

  • HAL Id : hal-00591000 , version 3

Citer

Thuy Nguyen. The uniform controllability property of semidiscrete approximations for the parabolic distributed parameter systems in Banach spaces.. 2011. ⟨hal-00591000v3⟩
158 Consultations
149 Téléchargements

Partager

Gmail Facebook X LinkedIn More