Reachable states for the distributed control of the heat equation - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2021

Reachable states for the distributed control of the heat equation

Lionel Rosier

Abstract

We are concerned with the determination of the reachable states for the distributed control of the heat equation on an interval. We consider either periodic boundary conditions or homogeneous Dirichlet boundary conditions. We prove that for a L 2 distributed control, the reachable states are in the Sobolev space H 1 and that they have complex analytic extensions on squares whose horizontal diagonals are regions where no control is applied.
Fichier principal
Vignette du fichier
reach_heat_dc.pdf (398.03 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03259878 , version 1 (14-06-2021)

Identifiers

  • HAL Id : hal-03259878 , version 1

Cite

Mo Chen, Lionel Rosier. Reachable states for the distributed control of the heat equation. 2021. ⟨hal-03259878⟩

Collections

TDS-MACS
44 View
86 Download

Share

Gmail Mastodon Facebook X LinkedIn More