• DocumentCode
    646592
  • Title

    On the nonlinear dynamic behavior of unrelaxed timed Petri nets in idempotent semirings

  • Author

    Benfekir, A. ; Hamaci, S. ; Darcherif, A.-M. ; Laval, L. ; Bouhamida, M.

  • Author_Institution
    USTO, El Mnaouer, Algeria
  • fYear
    2013
  • fDate
    26-29 Aug. 2013
  • Firstpage
    771
  • Lastpage
    776
  • Abstract
    This paper deals with the analysis of dynamic behavior of Timed Event Graphs with Multipliers. These graphs are an extension of weighted T-systems studied in the Petri net literature. The purpose of this analyse is to extract the performances of a system by analyzing the dynamic of state associated of each transition of graph. For that, we determine the mathematical model governing the dynamic evolution of this type of graph, in a dioid of formal power series based on operators.
  • Keywords
    Petri nets; linear algebra; nonlinear dynamical systems; series (mathematics); formal power series; graph transition; idempotent semirings; mathematical model; nonlinear dynamic behavior; state dynamics analysis; timed event graph with multipliers; unrelaxed timed Petri nets; weighted T-systems; Adaptation models; Equations; Mathematical model; Petri nets; Radiation detectors; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Methods and Models in Automation and Robotics (MMAR), 2013 18th International Conference on
  • Conference_Location
    Miedzyzdroje
  • Print_ISBN
    978-1-4673-5506-3
  • Type

    conf

  • DOI
    10.1109/MMAR.2013.6670010
  • Filename
    6670010