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.
Domaines
Optimisation et contrôle [math.OC]
Origine : Fichiers produits par l'(les) auteur(s)