• DocumentCode
    3074845
  • Title

    Further remarks on the invertibility of multivariable nonlinear systems

  • Author

    Fliess, M.

  • Author_Institution
    CNRS-ESE, Gif-sur-Yvette, France
  • fYear
    1986
  • fDate
    10-12 Dec. 1986
  • Firstpage
    596
  • Lastpage
    597
  • Abstract
    The long-standing problem of inverting nonlinear input-output systems is solved by employing differential algebra. Simple characterizations of left and right invertibility are given. These rest upon an invariant integer which, for constant linear systems, turns out to be the rank of the transfer matrix. For control-linear systems, this integer is computed via a generalization of Silverman´s structure algorithm.
  • Keywords
    Algebra; Character generation; Control systems; Differential algebraic equations; Differential equations; Linear systems; Mathematics; Nonlinear equations; Nonlinear systems; State-space methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1986 25th IEEE Conference on
  • Conference_Location
    Athens, Greece
  • Type

    conf

  • DOI
    10.1109/CDC.1986.267374
  • Filename
    4048820