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
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;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6315436
