• DocumentCode
    115614
  • Title

    Robust stability of switched systems

  • Author

    Sloth, Christoffer ; Wisniewski, Rafael

  • Author_Institution
    Sect. of Autom. & Control, Aalborg Univ., Aalborg, Denmark
  • fYear
    2014
  • fDate
    15-17 Dec. 2014
  • Firstpage
    4685
  • Lastpage
    4690
  • Abstract
    This paper presents a linear programming-based method for finding Lyapunov functions of switched systems with polynomial vector fields and parametric uncertainties. We propose to utilize a certificate of positivity in the Bernstein basis to find a Lyapunov function. A certificate of positivity in the Bernstein basis always exists if a polynomial is positive, and the Bernstein basis is shown to be well conditioned.
  • Keywords
    Lyapunov methods; linear programming; polynomials; robust control; switching systems (control); uncertain systems; vectors; Bernstein basis; Lyapunov functions; linear programming; parametric uncertainties; polynomial vector fields; robust stability; switched systems; Face; Lyapunov methods; Polynomials; Stability analysis; Switched systems; Uncertainty; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
  • Conference_Location
    Los Angeles, CA
  • Print_ISBN
    978-1-4799-7746-8
  • Type

    conf

  • DOI
    10.1109/CDC.2014.7040119
  • Filename
    7040119
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=115614