• DocumentCode
    2841738
  • Title

    Constructive Lyapunov functions and stabilizing feedback for nonlinear systems

  • Author

    Cai, Xiushan ; Su, Shaoqing ; Dai, Pingfan ; Lin, Lihua ; Lin, Rong

  • Author_Institution
    Dept. of Math. & Comput. Sci., Sanming Coll., Sanming, China
  • fYear
    2009
  • fDate
    17-19 June 2009
  • Firstpage
    341
  • Lastpage
    343
  • Abstract
    This paper deals with the stabilization for a broad class of nonlinear systems. First, we construct smooth Lyapunov functions from a known weak control Lyapunov function of the system. It is proved that a weak control Lyapunov function satisfying a less conservative condition can be used to design a globally stabilizing control law. The simulation shows the effectiveness of the method.
  • Keywords
    Lyapunov methods; feedback; nonlinear control systems; stability; constructive Lyapunov functions; globally stabilizing control law; nonlinear systems stabilization; smooth Lyapunov functions; stabilizing feedback; weak control Lyapunov function; Computer science; Control systems; Educational institutions; Feedback; Lyapunov method; Mathematics; Nonlinear control systems; Nonlinear systems; Lyapunov functions; nonlinear systems; stabilization;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control and Decision Conference, 2009. CCDC '09. Chinese
  • Conference_Location
    Guilin
  • Print_ISBN
    978-1-4244-2722-2
  • Electronic_ISBN
    978-1-4244-2723-9
  • Type

    conf

  • DOI
    10.1109/CCDC.2009.5195076
  • Filename
    5195076