• DocumentCode
    855356
  • Title

    The circle criterion as a special case of an Lpcriterion

  • Author

    Valsamis, D. ; Gray, J.O.

  • Author_Institution
    University of Salford, Salford, United Kingdom
  • Volume
    32
  • Issue
    3
  • fYear
    1987
  • fDate
    3/1/1987 12:00:00 AM
  • Firstpage
    263
  • Lastpage
    266
  • Abstract
    Time domain, and frequency domain absolute stability criteria are examined as special cases of a general Lpapproach which leads to a simple constant-gain loci interpretation of the classical circle criterion. Incremental nonlinearity bounds are invoked for the generalization of the asymptotic stability criteria to arbitrary equilibria and multivariable system versions of these criteria are also given.
  • Keywords
    Absolute stability, nonlinear systems; Asymptotic stability, nonlinear systems; Asymptotic stability; Erbium; Frequency domain analysis; IEEE Press; Large-scale systems; Linear systems; Lyapunov method; MIMO; Perturbation methods; Stability criteria;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1987.1104584
  • Filename
    1104584
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=855356