• DocumentCode
    1171103
  • Title

    Existence conditions for L_1 Lyapunov functions for a class of nonautonomous systems

  • Author

    Mitra, Debasis ; So, Hing C.

  • Volume
    19
  • Issue
    6
  • fYear
    1972
  • fDate
    11/1/1972 12:00:00 AM
  • Firstpage
    594
  • Lastpage
    598
  • Abstract
    A class of natural Lyapunov functions of the form \\Sigma \\lambda _{i} |x_{i}|, \\lambda _{i} > 0 , is considered for the stability analysis of a general class of nonautonomous differential equations associated with many physical systems. It is shown that recent results on the existence of solutions to a class of linear inequalities directly yield necessary and sufficient conditions for the existence of a Lyapunov function of the form described.
  • Keywords
    Lyapunov functions; Nonlinear differential equations; Stability; Differential equations; Helium; Lyapunov method; Nonlinear equations; Resistors; Stability analysis; Sufficient conditions; Telephony;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9324
  • Type

    jour

  • DOI
    10.1109/TCT.1972.1083552
  • Filename
    1083552
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1171103