• DocumentCode
    1628636
  • Title

    Sign incidence matrix and generation of basis siphons and traps of Petri nets

  • Author

    Boer, Erwin R. ; Murata, Tadao

  • Author_Institution
    Illinois Univ., Chicago, IL, USA
  • fYear
    1992
  • Firstpage
    632
  • Abstract
    The authors introduce a new matrix called the sign incidence matrix for Petri nets. Using this sign incidence matrix, they present a simple algorithm for generating all basis siphons and traps without first generating all siphons or traps. Any siphon (trap) can be expressed as a union of basis siphons (basis traps). The concept of siphons and traps plays an important role in the analysis of Petri nets. In particular, criteria for liveness and reachability of some subclasses of Petri nets can be stated in terms of siphons and traps
  • Keywords
    Petri nets; matrix algebra; Petri nets; basis siphon generation; basis trap generation; liveness criteria; reachability criteria; sign incidence matrix; Charge carrier processes; Electron traps; Equations; Linear algebra; Linear matrix inequalities; Logic functions; Logic programming; Petri nets; Sufficient conditions; System recovery;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Systems, Man and Cybernetics, 1992., IEEE International Conference on
  • Conference_Location
    Chicago, IL
  • Print_ISBN
    0-7803-0720-8
  • Type

    conf

  • DOI
    10.1109/ICSMC.1992.271701
  • Filename
    271701