DocumentCode
3167203
Title
Small time reachable set of bilinear quantum systems
Author
Boussaid, Nabile ; Caponigro, Marco ; Chambrion, Thomas
Author_Institution
Lab. de Math., Univ. de Franche-Comte, Besancon, France
fYear
2012
fDate
10-13 Dec. 2012
Firstpage
1083
Lastpage
1087
Abstract
This note presents an example of bilinear conservative system in an infinite dimensional Hilbert space for which approximate controllability in the Hilbert unit sphere holds for arbitrary small times. This situation is in contrast with the finite dimensional case and is due to the unboundedness of the drift operator.
Keywords
Hilbert spaces; bilinear systems; controllability; multidimensional systems; Hilbert unit sphere; approximate controllability; bilinear conservative system; bilinear quantum systems; drift operator unboundedness; infinite dimensional Hilbert space; small time reachable set; Aerospace electronics; Approximation methods; Controllability; Eigenvalues and eigenfunctions; Equations; Mathematical model;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location
Maui, HI
ISSN
0743-1546
Print_ISBN
978-1-4673-2065-8
Electronic_ISBN
0743-1546
Type
conf
DOI
10.1109/CDC.2012.6426208
Filename
6426208
Link To Document