Exact controllability in projections of the bilinear Schrödinger equation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2017

Exact controllability in projections of the bilinear Schrödinger equation

Abstract

We consider the bilinear Schrödinger equation with discrete-spectrum drift. We show, for n ∈ N arbitrary, exact controllability in projections on the first n given eigenstates. The controllability result relies on a generic controllability hypothesis on some associated finite-dimensional approximations. The method is based on Lie-algebraic control techniques applied to the finite-dimensional approximations coupled with classical topological arguments issuing from degree theory.
Fichier principal
Vignette du fichier
esatta17_Hal.pdf (162.28 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01509971 , version 1 (19-04-2017)
hal-01509971 , version 2 (12-05-2017)
hal-01509971 , version 3 (18-05-2018)

Identifiers

  • HAL Id : hal-01509971 , version 2

Cite

Marco Caponigro, Mario Sigalotti. Exact controllability in projections of the bilinear Schrödinger equation. 2017. ⟨hal-01509971v2⟩
842 View
391 Download

Share

Gmail Facebook X LinkedIn More