• DocumentCode
    391115
  • Title

    Geometric local controllability: second-order conditions

  • Author

    Hirschorn, Ron M. ; Lewis, Andrew D.

  • Author_Institution
    Dept. of Math. & Stat., Queen´´s Univ., Kingston, Ont., Canada
  • Volume
    1
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    368
  • Abstract
    The notion of a control-affine system is abstracted to its geometric essence: an affine subbundle. The notions of control systems and controllability are presented, and general second-order conditions for local controllability are given. The conditions are notable in that their hypotheses involve only the affine subbundle, and objects directly related to it. In this way the conditions we give are guaranteed to be independent of feedback transformations.
  • Keywords
    controllability; geometry; set theory; affine subbundle; control-affine system; geometric local controllability; second-order conditions; Control systems; Controllability; Feedback; Geometry; Mathematics; Statistics; Sufficient conditions; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1184521
  • Filename
    1184521