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
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;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426208
