• DocumentCode
    3422901
  • Title

    Mathematical system theory and digital control

  • Author

    Luzeaux, Dominique ; Antoniotti, Jean-François

  • Author_Institution
    ETCA, Arcueil, France
  • fYear
    1997
  • fDate
    9-11 Mar 1997
  • Firstpage
    7
  • Lastpage
    11
  • Abstract
    This paper is dedicated to the formal definition of a dynamical system controlled by a digital device. Starting from general considerations, we introduce the “natural” state space and turn then to its simplification using mathematical arguments. Finally we relate this state space to the common real space and show how the digital system theory proposed here encompasses the usual control theory
  • Keywords
    computational complexity; decidability; digital control; state-space methods; common real space; control theory; digital control; digital device; digital system theory; dynamical system control; formal definition; mathematical arguments; mathematical system theory; state space; Automata; Automatic control; Control systems; Control theory; Digital control; Digital systems; Discrete event systems; Encoding; History; State-space methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    System Theory, 1997., Proceedings of the Twenty-Ninth Southeastern Symposium on
  • Conference_Location
    Cookeville, TN
  • ISSN
    0094-2898
  • Print_ISBN
    0-8186-7873-9
  • Type

    conf

  • DOI
    10.1109/SSST.1997.581569
  • Filename
    581569