• DocumentCode
    391303
  • Title

    A condition of CLF existence for affine systems

  • Author

    Efimov, D.V.

  • Author_Institution
    Control of Complex Syst. Lab., Inst. of Problem of Mech. Eng., St. Petersburg, Russia
  • Volume
    2
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    1882
  • Abstract
    An equivalent condition of control Lyapunov function (CLF) existence is developed. The proposed condition summarizes the well known result of Sontag (1989) and passivity theorem of Byrnes, Isidory and Willems (1991). This condition also provides feedback equivalence to a passive system with not necessary well defined relative degree and normal form. An example of computer simulation completes the work.
  • Keywords
    Lyapunov methods; asymptotic stability; feedback; nonlinear dynamical systems; affine systems; asymptotic stability; control Lyapunov function existence; dynamic system nonlinear; feedback equivalence; normal form; passive system; relative degree; Asymptotic stability; Computer simulation; Control systems; Feedback; Laboratories; Lyapunov method; Mechanical engineering; Nonlinear dynamical systems; Notice of Violation; State-space methods;
  • 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.2002.1184799
  • Filename
    1184799