• DocumentCode
    3214794
  • Title

    Three Dimension Minimal Realization in Linear System of Max-algebra

  • Author

    Zhimin Sun ; Wende Chen

  • Author_Institution
    Acad. of Math. & Syst. Sci., Chinese Acad. of Sci., Beijing, China
  • fYear
    2006
  • fDate
    7-11 Aug. 2006
  • Firstpage
    21
  • Lastpage
    26
  • Abstract
    We study the minimal realization of a low dimension SISO linear system in the max-algebra. We classify 3-rank periodic unit impulse response sequence {gi}0∞ into four categories according to their characteristic equations, and discuss the necessary and sufficient conditions of the existence of 3D minimal realization respectively.
  • Keywords
    linear systems; matrix algebra; realisation theory; transient response; 3D minimal realization; SISO linear system; max-algebra; periodic unit impulse response sequence; Argon; Control systems; Electronic mail; Equations; IEEE catalog; Linear systems; Mathematics; Speech synthesis; Sufficient conditions; Sun; Max-algebra; Minimal Realization; Periodic Sequence;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference, 2006. CCC 2006. Chinese
  • Conference_Location
    Harbin
  • Print_ISBN
    7-81077-802-1
  • Type

    conf

  • DOI
    10.1109/CHICC.2006.280925
  • Filename
    4060473
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3214794