• DocumentCode
    307320
  • Title

    The choice of a Lyapunov function class for close approximation of the set of linear stabilization

  • Author

    Kamenetskiy, Vladimir A.

  • Author_Institution
    Inst. of Control Sci., Acad. of Sci., Moscow, Russia
  • Volume
    1
  • fYear
    1996
  • fDate
    11-13 Dec 1996
  • Firstpage
    1059
  • Abstract
    Linear control systems closed by saturated linear feedback are widely known in control theory. When studying the region of attraction of such a system the problem arises of estimating some positive invariant its subset within which the closed-loop system does not encounter control constraints. The problem under consideration is characteristic for a Lyapunov function approach, it consists in choosing the class of Lyapunov functions providing the complete solution for the problem of approximating this subset
  • Keywords
    Lyapunov methods; closed loop systems; linear systems; stability; Lyapunov function class; close approximation; closed-loop system; linear control systems; linear stabilization; region of attraction; saturated linear feedback; Asymptotic stability; Control systems; Control theory; Linear approximation; Linear systems; Lyapunov method; Size control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
  • Conference_Location
    Kobe
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-3590-2
  • Type

    conf

  • DOI
    10.1109/CDC.1996.574638
  • Filename
    574638