• DocumentCode
    2568474
  • Title

    A result on the existence of quadratic Lyapunov functions for state-dependent switched systems with uncertainty

  • Author

    King, Christopher K. ; Griggs, Wynita M. ; Shorten, Robert N.

  • Author_Institution
    Dept. of Math., Northeastern Univ., Boston, MA, USA
  • fYear
    2010
  • fDate
    15-17 Dec. 2010
  • Firstpage
    7339
  • Lastpage
    7344
  • Abstract
    Recent results on quadratic stability of state-dependent switched linear systems are reviewed and applied to the problem of state-dependent switching with parameter uncertainty. Several examples are provided to illustrate the method, both as a means of determining stability of such systems, and also as a tool for designing stable switched systems in the presence of uncertainty.
  • Keywords
    Lyapunov methods; stability; time-varying systems; uncertain systems; parameter uncertainty; quadratic Lyapunov functions; quadratic stability; stable switched systems; state-dependent switched linear systems; state-dependent switched systems; state-dependent switching; Lyapunov method; Stability criteria; Switched systems; Switches; Uncertainty; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2010 49th IEEE Conference on
  • Conference_Location
    Atlanta, GA
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4244-7745-6
  • Type

    conf

  • DOI
    10.1109/CDC.2010.5717197
  • Filename
    5717197