• DocumentCode
    75075
  • Title

    Dynamic Versus Static Weighting of Lyapunov Functions

  • Author

    Praly, Laurent ; Carnevale, D. ; Astolfi, A.

  • Author_Institution
    MINES ParisTech, CAS, Mathématiques et Systèmes, Fontainebleau, France
  • Volume
    58
  • Issue
    6
  • fYear
    2013
  • fDate
    Jun-13
  • Firstpage
    1557
  • Lastpage
    1561
  • Abstract
    The relation between static and dynamic Lyapunov functions weighting is discussed. It is shown that, under some technical assumptions, stabilizability by means of static weighting implies stabilizability by means of dynamic weighting. The existence result is illustrated by means of an example which highlights that the design based on dynamic weighting requires less a-priori information on the system to be stabilized.
  • Keywords
    Adaptive control; Asymptotic stability; Closed loop systems; Lyapunov methods; Nonlinear dynamical systems; Observers; Stability analysis; Lyapunov function; nonlinear;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2012.2229813
  • Filename
    6361272