• DocumentCode
    1558526
  • Title

    Further results for systems with repeated scalar nonlinearities

  • Author

    Chu, Yun-Chung

  • Author_Institution
    Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore
  • Volume
    46
  • Issue
    12
  • fYear
    2001
  • fDate
    12/1/2001 12:00:00 AM
  • Firstpage
    2031
  • Lastpage
    2035
  • Abstract
    A class of nonlinear systems described by a discrete-time state-equation containing a repeated scalar nonlinearity is considered. This paper sharpens several previous results on the performance synthesis and model reduction for such systems. Extensions to the case that the nonlinearity is not an odd function are also discussed
  • Keywords
    control nonlinearities; control system synthesis; discrete time systems; matrix algebra; nonlinear systems; recurrent neural nets; reduced order systems; Stieltjes matrices; diagonally dominant matrix; discrete-time system; linear matrix inequality; model reduction; nonlinear systems; recurrent neural networks; repeated scalar nonlinearities; Automatic control; Linear matrix inequalities; Network synthesis; Nonlinear systems; Recurrent neural networks; Reduced order systems; Stability; Standards publication; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.975515
  • Filename
    975515