Title :
Total variation of the control and energy of bilinear quantum systems
Author :
Boussaid, Nabile ; Caponigro, Marco ; Chambrion, Thomas
Author_Institution :
Lab. de Math., Univ. de Franche-Comte, Besançon, France
Abstract :
In the present note, we give two examples of bilinear quantum systems showing good agreement between the total variation of the control and the variation of the energy of solutions, with bounded or unbounded coupling term. The corresponding estimates in terms of the total variation of the control appear to be optimal.
Keywords :
bilinear systems; optimal control; bilinear quantum system control; bilinear quantum system energy; bounded coupling term; optimal control; unbounded coupling term; variation estimation; Approximation methods; Controllability; Eigenvalues and eigenfunctions; Mathematical model; Method of moments; Wave functions;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760455
