• DocumentCode
    816157
  • Title

    On the structure of a class of nonlinear systems

  • Author

    Smith, Winthrop, Jr. ; Rugh, Wilson J.

  • Author_Institution
    Westinghouse Electric Corporation, Baltimore, MD, USA
  • Volume
    19
  • Issue
    6
  • fYear
    1974
  • fDate
    12/1/1974 12:00:00 AM
  • Firstpage
    701
  • Lastpage
    706
  • Abstract
    Nonlinear systems composed of linear dynamic sub-systems in cascade with static power nonlinearities are considered. A structure theory is developed based on the representation of input/output behavior by rational functions in several variables. An algorithm is given which solves the minimal complete realization problem for two forms of the representation. Examples are worked in detail to illustrate the results.
  • Keywords
    Cascade systems; Multivariable functions; Nonlinear systems, continuous-time; Transfer functions; Convolution; Eigenvalues and eigenfunctions; Linear systems; Nonlinear dynamical systems; Nonlinear systems; Power system modeling; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1974.1100710
  • Filename
    1100710
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=816157