DocumentCode
3531423
Title
A sufficient condition for partial ensemble controllability of bilinear schrödinger equations with bounded coupling terms
Author
Chambrion, Thomas
Author_Institution
Inst. Elie Cartan de Lorraine, Univ. de Lorraine, Vandoeuvre-lès-Nancy, France
fYear
2013
fDate
10-13 Dec. 2013
Firstpage
3708
Lastpage
3713
Abstract
This note presents a sufficient condition for partial approximate ensemble controllability of a set of bilinear conservative systems in an infinite dimensional Hilbert space. The proof relies on classical geometric and averaging control techniques applied on finite dimensional approximation of the infinite dimensional system. The results are illustrated with the planar rotation of a linear molecule.
Keywords
Hilbert spaces; Schrodinger equation; bilinear systems; averaging control techniques; bilinear Schrodinger equations; bilinear conservative systems; bounded coupling terms; classical geometric techniques; finite dimensional approximation; infinite dimensional Hilbert space; linear molecule; partial ensemble controllability; planar rotation; Approximation methods; Controllability; Convergence; Eigenvalues and eigenfunctions; Equations; Hilbert space;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location
Firenze
ISSN
0743-1546
Print_ISBN
978-1-4673-5714-2
Type
conf
DOI
10.1109/CDC.2013.6760454
Filename
6760454
Link To Document