Exact controllability in projections of the bilinear Schrödinger equation

Marco Caponigro 1 Mario Sigalotti 2, 3
3 GECO - Geometric Control Design
Inria Saclay - Ile de France, Polytechnique - X, CNRS - Centre National de la Recherche Scientifique : UMR7641
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.
Type de document :
Pré-publication, Document de travail
2017
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https://hal.inria.fr/hal-01509971
Contributeur : Marco Caponigro <>
Soumis le : vendredi 12 mai 2017 - 17:50:05
Dernière modification le : jeudi 15 juin 2017 - 09:09:23

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  • HAL Id : hal-01509971, version 2

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Marco Caponigro, Mario Sigalotti. Exact controllability in projections of the bilinear Schrödinger equation. 2017. <hal-01509971v2>

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