• DocumentCode
    581891
  • Title

    Bi-decomposition analysis and algorithm of automata based on semi-tensor product

  • Author

    Yanqiong, Zhang ; Xiangru, Xu ; Yiguang, Hong

  • Author_Institution
    Key Lab. of Syst. & Control, Acad. of Math. & Syst. Sci., Beijing, China
  • fYear
    2012
  • fDate
    25-27 July 2012
  • Firstpage
    2151
  • Lastpage
    2156
  • Abstract
    In this paper, we study the bi-decomposition of automata in two standard ways. With semi-tensor product, the matrix-based expression of automata is given and then the decomposition procedure is realized by the matrix calculation. Necessary and sufficient conditions for both product and parallel decomposability of deterministic finite automata are provided and examples are also given for illustration.
  • Keywords
    deterministic automata; finite automata; matrix multiplication; tensors; bidecomposition algorithm; bidecomposition analysis; deterministic finite automata; matrix calculation; matrix-based expression; necessary and sufficient conditions; parallel decomposability; semitensor product; Algorithm design and analysis; Automata; Doped fiber amplifiers; Equations; Laboratories; Matrix decomposition; Vectors; Decomposition; Finite Automata; Parallel Composition; Product Composition; Semi-tensor Product;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (CCC), 2012 31st Chinese
  • Conference_Location
    Hefei
  • ISSN
    1934-1768
  • Print_ISBN
    978-1-4673-2581-3
  • Type

    conf

  • Filename
    6390280