• DocumentCode
    1067949
  • Title

    Asymptotic Stability in Hybrid Systems via Nested Matrosov Functions

  • Author

    Sanfelice, Ricardo G. ; Teel, Andrew R.

  • Author_Institution
    AME Dept., Univ. of Arizona, Tucson, AZ, USA
  • Volume
    54
  • Issue
    7
  • fYear
    2009
  • fDate
    7/1/2009 12:00:00 AM
  • Firstpage
    1569
  • Lastpage
    1574
  • Abstract
    A theorem on nested Matrosov functions is extended to time-varying hybrid systems. It provides sufficient conditions for uniform global asymptotic stability of a compact set. An application to parameter identification with state resets is made and illustrated on an example.
  • Keywords
    asymptotic stability; time-varying systems; asymptotic stability; hybrid systems; nested Matrosov functions; parameter identification; time-varying systems; Adaptive control; Asymptotic stability; Differential equations; Lyapunov method; Output feedback; Parameter estimation; Stability analysis; Sufficient conditions; Time varying systems; Vehicles; Invariance principle; Matrosov theorem; stability of hybrid systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2009.2015524
  • Filename
    5071164