• DocumentCode
    1066393
  • Title

    A Simplified Design for Strict Lyapunov Functions Under Matrosov Conditions

  • Author

    Mazenc, Frederic ; Malisoff, Michael ; Bernard, Olivier

  • Author_Institution
    MERE INRIA-INRA, UMR Analyse des Systmes et Biometrie, Montpellier
  • Volume
    54
  • Issue
    1
  • fYear
    2009
  • Firstpage
    177
  • Lastpage
    183
  • Abstract
    We construct strict Lyapunov functions for broad classes of nonlinear systems satisfying Matrosov type conditions. Our new constructions are simpler than the designs available in the literature. We illustrate the practical interest of our designs using a globally asymptotically stable biological model.
  • Keywords
    Lyapunov methods; asymptotic stability; biocontrol; control system synthesis; nonlinear control systems; Matrosov conditions; globally asymptotically stable biological model; nonlinear systems; strict Lyapunov functions; Actuators; Biological system modeling; Control system analysis; Control systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Robust stability; Steady-state; Uncertainty; Biological systems; Lyapunov function; Matrosov theorem;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2008.2008353
  • Filename
    4749437