• DocumentCode
    3077780
  • Title

    Linear systems in (max, +) algebra

  • Author

    Akian, Marianne ; Cohen, Guy ; Gaubert, Stephane ; Nikoukhah, R. ; Quadrat, Jean Pierre

  • Author_Institution
    INRIA, Le Chesnay, France
  • fYear
    1990
  • fDate
    5-7 Dec 1990
  • Firstpage
    151
  • Abstract
    The general system of linear equations in the (max, +) algebra is studied. A symmetrization of this algebra and a new notion called balance which generalizes classical equations are introduced. This construction results in the linear closure of the (max, +) algebra in the sense that every non-degenerate system of linear balances has a unique solution given by Cramer´s rule
  • Keywords
    linear systems; matrix algebra; Cramer´s rule; linear balances; linear equations; linear systems; matrix algebra; max+algebra; Discrete event systems; Distributed processing; Equations; Linear algebra; Linear systems; Petri nets; Transfer functions; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/CDC.1990.203566
  • Filename
    203566
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3077780