• DocumentCode
    2149587
  • Title

    The dynamical inverse problem for a nonlinear Schrodinger equation using boundary control

  • Author

    Tomas-Rodriguez, M. ; Banks, S.P.

  • Author_Institution
    Dept. of Autom. Control & Syst. Eng., Univ. of Sheffield, UK
  • Volume
    3
  • fYear
    2003
  • fDate
    20-22 Aug. 2003
  • Firstpage
    732
  • Abstract
    The problem of determining the potential in a nonlinear one-dimensional Schrodinger equation from dynamical boundary observations is considered. The problem will be solved by a combination of a recent approximation technique for nonlinear dynamical systems, which reduces them to sequences of linear, time-varying systems, and the derivation of a spectral theory for these systems.
  • Keywords
    Schrodinger equation; approximation theory; inverse problems; nonlinear dynamical systems; parabolic equations; spectral analysis; time-varying systems; approximation technique; boundary control; dynamical inverse problem; linear systems; nonlinear Schrodinger equation; nonlinear dynamical systems; time-varying systems; Automatic control; Boundary conditions; Control systems; Controllability; Inverse problems; Linear approximation; Schrodinger equation; Systems engineering and theory; Tellurium; Time varying systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Physics and Control, 2003. Proceedings. 2003 International Conference
  • Print_ISBN
    0-7803-7939-X
  • Type

    conf

  • DOI
    10.1109/PHYCON.2003.1236996
  • Filename
    1236996