• DocumentCode
    2824553
  • Title

    Three mathematical formalisms for discrete time linear feedback systems

  • Author

    Leithead, W.E. ; Ragnoli, E.

  • Author_Institution
    Strathclyde Univ., Glasgow
  • fYear
    2007
  • fDate
    12-14 Dec. 2007
  • Firstpage
    1122
  • Lastpage
    1127
  • Abstract
    The Georgiou Smith paradox is an inconsistency that occurs when the class of signals of a conventional mathematical formalism for systems theory is extended to double sided signals. In this work we introduce three different mathematical formalisms in order to recover consistency. The final one, the framework using distributions, is proved to be consistent and to be suitable for the analysis of discrete time feedback systems.
  • Keywords
    discrete time systems; feedback; linear systems; Georgiou Smith paradox; discrete time linear feedback systems; mathematical formalisms; Communication systems; Control systems; Equations; Industrial control; Linear feedback control systems; Output feedback; Signal processing; Systems engineering and theory; Time domain analysis; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2007 46th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-1497-0
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2007.4434609
  • Filename
    4434609