• DocumentCode
    2978668
  • Title

    Generic properties of singular extremals

  • Author

    Bonnard, B.

  • Author_Institution
    CNRS, St. Martin d´´Heres, France
  • fYear
    1988
  • fDate
    7-9 Dec 1988
  • Firstpage
    2369
  • Abstract
    A C∞ control system in Rn is considered. By definition, a singular trajectory is a singularity of the input-output mapping. A study is made of the genericity of the following two properties: (1) there exists no high-order singular extremal; and (2) all the singular trajectories are normal. It is shown that there exist singular trajectories of order >2 in a case of codimension 1. It is proved that for a generic system all the singular extremals are of order 2 and normal
  • Keywords
    optimal control; generic system; input-output mapping; optimal control; singular extremals; singular trajectory; Control systems; Equations; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
  • Conference_Location
    Austin, TX
  • Type

    conf

  • DOI
    10.1109/CDC.1988.194764
  • Filename
    194764
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2978668