DocumentCode
574795
Title
Periodic control laws for bilinear quantum systems with discrete spectrum
Author
Boussaid, Nabile ; Caponigro, Marco ; Chambrion, Thomas
Author_Institution
Lab. de Math., Univ. de Franche-Comte, Besançon, France
fYear
2012
fDate
27-29 June 2012
Firstpage
5819
Lastpage
5824
Abstract
We provide bounds on the error between dynamics of an infinite dimensional bilinear Schrodinger equation and of its finite dimensional Galerkin approximations. Standard averaging methods are used on the finite dimensional approximations to obtain constructive controllability results. As an illustration, the methods are applied on a model of a 2D rotating molecule.
Keywords
Galerkin method; Schrodinger equation; bilinear systems; controllability; discrete systems; multidimensional systems; periodic control; quantum theory; 2D rotating molecule; bilinear quantum system; controllability; discrete spectrum; error bound; finite dimensional Galerkin approximation; finite dimensional approximation; infinite dimensional bilinear Schrodinger equation; periodic control law; standard averaging method; Aerospace electronics; Approximation methods; Eigenvalues and eigenfunctions; Equations; Helium; Mathematical model; Moment methods;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference (ACC), 2012
Conference_Location
Montreal, QC
ISSN
0743-1619
Print_ISBN
978-1-4577-1095-7
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2012.6315436
Filename
6315436
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