• DocumentCode
    866655
  • Title

    Discrete-time nonlinear system stability

  • Author

    DeGroat, Ronald D. ; Hunt, Louis R. ; Linebarger, Darel A. ; Verma, Madan

  • Author_Institution
    Electr. Eng. Program, Texas Univ. at Dallas, Richardson, TX, USA
  • Volume
    39
  • Issue
    10
  • fYear
    1992
  • fDate
    10/1/1992 12:00:00 AM
  • Firstpage
    834
  • Lastpage
    840
  • Abstract
    In contrast to BIBO stability for linear systems, nonlinear systems require specific restrictions on the input as well as the initial conditions. It is proved that nontrivial restrictions exist. A constructive method for finding the input and state-space restrictions that guarantee stable operation of nonlinear systems is developed
  • Keywords
    control system analysis; discrete time systems; nonlinear control systems; stability; state-space methods; initial conditions; stable operation; state-space restrictions; Circuit analysis; Circuit stability; Equations; Feedback; Jacobian matrices; Multidimensional systems; Nonlinear systems; Polynomials; Signal processing; Speech processing;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.199866
  • Filename
    199866