• DocumentCode
    434604
  • Title

    Blowing up affine hybrid systems

  • Author

    Ames, Aaron D. ; Sastry, Shankar

  • Author_Institution
    Dept. of EECS, California Univ., Berkeley, CA, USA
  • Volume
    1
  • fYear
    2004
  • fDate
    17-17 Dec. 2004
  • Firstpage
    473
  • Abstract
    In this paper we construct the "blow up" of an affine hybrid system H, i.e., a new affine hybrid system Bl(H) in which H is embedded, that does not exhibit Zeno behavior. We show the existence of a bijection ϒ between periodic orbits and equilibrium points of H and Bl(H) that preserves stability; we refer to this property as 𝒫-stability equivalence.
  • Keywords
    continuous time systems; discrete event systems; stability; /spl Pscr/-stability equivalence; Zeno behavior; affine hybrid systems; bijection /spl Upsi/; equilibrium points; periodic orbits; Asymptotic stability; Displays; Indexing; Orbits; Stability analysis; Switched systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2004. CDC. 43rd IEEE Conference on
  • Conference_Location
    Nassau
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-8682-5
  • Type

    conf

  • DOI
    10.1109/CDC.2004.1428675
  • Filename
    1428675
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=434604