• DocumentCode
    3447184
  • Title

    A globally asymptotically stable polynomial vector field with no polynomial Lyapunov function

  • Author

    Ahmadi, Amir Ali ; Krstic, Miroslav ; Parrilo, Pablo A.

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., Massachusetts Inst. of Technol., Cambridge, MA, USA
  • fYear
    2011
  • fDate
    12-15 Dec. 2011
  • Firstpage
    7579
  • Lastpage
    7580
  • Abstract
    We give a simple, explicit example of a two-dimensional polynomial vector field that is globally asymptotically stable but does not admit a polynomial Lyapunov function.
  • Keywords
    Lyapunov methods; asymptotic stability; polynomials; globally asymptotically stable polynomial vector field; polynomial Lyapunov function; two-dimensional polynomial vector field; Asymptotic stability; Conferences; Lyapunov methods; Polynomials; Stability analysis; Trajectory; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
  • Conference_Location
    Orlando, FL
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-61284-800-6
  • Electronic_ISBN
    0743-1546
  • Type

    conf

  • DOI
    10.1109/CDC.2011.6161499
  • Filename
    6161499
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3447184