• DocumentCode
    804582
  • Title

    Overdamped nonlinear systems

  • Author

    Wolff, Stephan ; Yang, Jian

  • Author_Institution
    Johns Hopkins University, Baltimore, MD, USA
  • Volume
    15
  • Issue
    6
  • fYear
    1970
  • fDate
    12/1/1970 12:00:00 AM
  • Firstpage
    699
  • Lastpage
    701
  • Abstract
    Overdamped solutions to \\ddot{z} + KF(z, dot{z}) = 0, z(0) = z_{0}, dot{z}(0) = dot{z}_{0} , are defined to be those that are asymptotically stable to the origin and which are zero at most once for 0 < t < x . The main result is a lower bound on the positive constant K to ensure that solutions to the equation are overdamped.
  • Keywords
    Asymptotic stability; Nonlinear systems; Computer errors; Damping; Laplace equations; Limit-cycles; Linear systems; Lyapunov method; Nonlinear systems; Sampling methods; Stability; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1970.1099577
  • Filename
    1099577
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=804582