• DocumentCode
    2537770
  • Title

    (A, B)-stabilizability conditions with respect to certain Lyapunov functions

  • Author

    Tarbouriech, S. ; Burgat, C.

  • Author_Institution
    Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France
  • fYear
    1993
  • fDate
    17-20 Oct 1993
  • Firstpage
    311
  • Abstract
    This paper shows under certain conditions a static state feedback ensures the controlled system xk+1=(A+BF)xk(resp.x˙(t)=(A+BF)x(t)) to have certain common Lyapunov functions with the autonomous system xk+1 =Axk(resp.x˙(t)=Ax(t)). This notion is called (A, B)-stabilizability with respect to certain Lyapunov functions. The relations between this notion and the classical (A, B)-stabilizability are studied. The results obtained are then used to study the global stabilization of linear systems with bounded inputs by means of a saturated control law
  • Keywords
    Lyapunov methods; closed loop systems; linear systems; stability; state feedback; Lyapunov functions; autonomous system; global stabilization; linear systems; saturated control; stabilizability conditions; static state feedback; Control systems; Eigenvalues and eigenfunctions; Linear systems; Lyapunov method; State feedback; Tin;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Systems, Man and Cybernetics, 1993. 'Systems Engineering in the Service of Humans', Conference Proceedings., International Conference on
  • Conference_Location
    Le Touquet
  • Print_ISBN
    0-7803-0911-1
  • Type

    conf

  • DOI
    10.1109/ICSMC.1993.384763
  • Filename
    384763
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2537770