• DocumentCode
    3531442
  • 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
  • fYear
    2013
  • fDate
    10-13 Dec. 2013
  • Firstpage
    3714
  • Lastpage
    3719
  • 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;
  • 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.2013.6760455
  • Filename
    6760455