• DocumentCode
    1491215
  • Title

    Continuous Piecewise Affine Dynamical Systems do not Exhibit Zeno Behavior

  • Author

    Le Quang Thuan ; Camlibel, M. Kanat

  • Author_Institution
    Johann Bernoulli Inst. for Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands
  • Volume
    56
  • Issue
    8
  • fYear
    2011
  • Firstpage
    1932
  • Lastpage
    1936
  • Abstract
    In the context of continuous piecewise affine dynamical systems, we study the Zeno behavior, i.e., infinite number of mode transitions in finite time interval, in this note. The main result reveals that piecewise affine dynamical systems do not exhibit Zeno behavior. A direct benefit of the main result is that one can apply smooth ordinary differential equations theory in a local manner for the analysis of piecewise affine systems.
  • Keywords
    continuous systems; differential equations; nonlinear dynamical systems; piecewise linear techniques; Zeno behavior; continuous piecewise affine dynamical systems; smooth ordinary differential equations theory; Computer science; Conferences; Differential equations; Indexes; Linear systems; USA Councils; Vectors; Hybrid systems; Zeno behavior; piecewise affine systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2011.2141570
  • Filename
    5746511
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1491215