• DocumentCode
    3040311
  • Title

    A group-theoretic approach to discrete-time non-linear controllability

  • Author

    Fliess, Michel ; Normand-Cyrot, Dorothee

  • Author_Institution
    CNRS-ESE, Gif-sur-Yvette, France
  • fYear
    1981
  • fDate
    16-18 Dec. 1981
  • Firstpage
    551
  • Lastpage
    557
  • Abstract
    The controllability of discrete-time non-linear systems is studied through the use of Ritt´s formal differential groups which were introduced thirty years ago. A condition for weak local controllability is given in terms of Lie algebra. It is very similar to the one obtained in the continuous-time case. In the case of regular (or bilinear) systems this analysis leads to Lie group techniques. Various examples are discussed.
  • Keywords
    Algebra; Controllability; Difference equations; Differential equations; Image analysis; Jacobian matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control including the Symposium on Adaptive Processes, 1981 20th IEEE Conference on
  • Conference_Location
    San Diego, CA, USA
  • Type

    conf

  • DOI
    10.1109/CDC.1981.269266
  • Filename
    4046991
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3040311