• DocumentCode
    697661
  • Title

    Structural stability of hybrid systems1

  • Author

    Simic, Slobodan N. ; Johansson, Karl H. ; Lygeros, John ; Sastry, Shankar

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, Berkeley, CA, USA
  • fYear
    2001
  • fDate
    4-7 Sept. 2001
  • Firstpage
    3858
  • Lastpage
    3863
  • Abstract
    We study hybrid systems from a global geometric perspective as piecewise smooth dynamical systems. Based on an earlier work, we define the notion of the hybrifold as a single piece-wise smooth state space reflecting the dynamics of the original system. Structural stability for hybrid systems is introduced and analyzed in this framework. In particular, it is shown that a Zeno state is locally structurally stable and that a standard equilibrium on the boundary of a domain implies structural instability.
  • Keywords
    continuous time systems; discrete time systems; stability; Zeno state; continuous time dynamical system; discrete-time dynamical system; hybrid system; structural stability; Europe; Orbits; Space vehicles; Standards; Structural engineering; Trajectory; Vectors; Dynamical systems; Hybrid automata; Hybrifold; Stability; Zeno states;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2001 European
  • Conference_Location
    Porto
  • Print_ISBN
    978-3-9524173-6-2
  • Type

    conf

  • Filename
    7076536
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=697661