Switching controls for analytic semigroups and applications to parabolic systems
Language
en
Article de revue
This item was published in
SIAM Journal on Control and Optimization. 2021
Society for Industrial and Applied Mathematics
English Abstract
In this work, we push further the analysis of the problem of switching controls proposed in [31]. The problem consists in the following one: assuming that one can control a system using two or more actuators, does there ...Read more >
In this work, we push further the analysis of the problem of switching controls proposed in [31]. The problem consists in the following one: assuming that one can control a system using two or more actuators, does there exist a control strategy such that at all times, only one actuator is active? We answer positively to this question when the controlled system corresponds to an analytic semigroup spanned by a positive self-adjoint operator which is null-controllable in arbitrary small times. Similarly as in [31], our proof relies on analyticity arguments and will also work in finite dimensional setting and under some further spectral assumptions when the operator spans an analytic semigroup but is not necessarily self-adjoint.Read less <
ANR Project
Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010
Centre International de Mathématiques et d'Informatique (de Toulouse) - ANR-11-LABX-0040
Centre International de Mathématiques et d'Informatique (de Toulouse) - ANR-11-LABX-0040
Origin
Hal imported