• DocumentCode
    865937
  • Title

    A stability criterion for feedback systems with one nonlinear element

  • Author

    Rekasius, Z.V.

  • Author_Institution
    Purdue Univ., Lafayette, IN, USA
  • Volume
    9
  • Issue
    1
  • fYear
    1964
  • fDate
    1/1/1964 12:00:00 AM
  • Firstpage
    46
  • Lastpage
    50
  • Abstract
    The paper investigates the stability of feedback systems with one nonlinear element whose input-output characteristic is contained within a sector of the input-output plane. The results are applicable to any nonlinearity within a given sector and the conditions for global asymptotic stability are necessary if the exact analytic description of the nonlinearity is not available. The conditions for asymptotic stability are related to the Routh-Hurwitz and Nyquist stability criteria for linear systems.
  • Keywords
    Nonlinearities; Stability; Asymptotic stability; Control systems; Feedback loop; Kalman filters; Linear systems; Missiles; Nonlinear equations; Output feedback; Stability criteria; State feedback;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1964.1105640
  • Filename
    1105640