• DocumentCode
    700768
  • Title

    Computation of piecewise quadratic Lyapunov functions for hybrid systems

  • Author

    Johansson, Mikael ; Rantzer, Anders

  • Author_Institution
    Dept. of Autom. Control, Lund Inst. of Technol., Lund, Sweden
  • fYear
    1997
  • fDate
    1-7 July 1997
  • Firstpage
    2005
  • Lastpage
    2010
  • Abstract
    This paper presents a computational approach to stability analysis of nonlinear and hybrid systems. The search for a piecewise quadratic Lyapunov function is formulated as a convex optimization problem in terms of linear matrix inequalities. Several examples are included to demonstrate the flexibility and power of the approach.
  • Keywords
    Lyapunov methods; continuous systems; convex programming; discrete systems; linear matrix inequalities; nonlinear control systems; stability; convex optimization problem; hybrid systems; linear matrix inequalities; nonlinear systems; piecewise quadratic Lyapunov functions; stability analysis; Linear matrix inequalities; Lyapunov methods; Mathematical model; Nonlinear systems; Stability criteria; Switches; Hybrid Control; LMI; Nonlinear Control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 1997 European
  • Conference_Location
    Brussels
  • Print_ISBN
    978-3-9524269-0-6
  • Type

    conf

  • Filename
    7082399