• DocumentCode
    114330
  • Title

    Coordinates transformations in nonlinear time-delay systems

  • Author

    Califano, C. ; Moog, C.H.

  • Author_Institution
    Dipt. di Ing. Inf. Autom. e Gestionale Antonio Ruberti, Univ. di Roma La Sapienza, Rome, Italy
  • fYear
    2014
  • fDate
    15-17 Dec. 2014
  • Firstpage
    475
  • Lastpage
    480
  • Abstract
    When considering nonlinear time delay systems, the definition of an invertible change of coordinates is no more granted. Starting from a set of n - 1 exact differentials independent over K(δ] in the variables x(t), ..., x(t-sD), with D a constant commensurate delay and x an n dimensional variable, we give necessary and sufficient conditions for the existence of an exact one-form such that to get a basis for spanK(δ]{dx[0]}.
  • Keywords
    delays; nonlinear control systems; constant commensurate delay; coordinates transformations; dimensional variable; exact differentials; nonlinear time delay systems; Delay effects; Delays; Indexes; Matrix decomposition; Observability; Polynomials; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
  • Conference_Location
    Los Angeles, CA
  • Print_ISBN
    978-1-4799-7746-8
  • Type

    conf

  • DOI
    10.1109/CDC.2014.7039426
  • Filename
    7039426