• DocumentCode
    872766
  • Title

    Time-varying version of the lemma of Lyapunov

  • Author

    Anderson, B.D. ; Moore, John

  • Author_Institution
    University of Newcastle, Department of Electrical Engineering, Newcastle, Australia
  • Volume
    3
  • Issue
    7
  • fYear
    1967
  • fDate
    7/1/1967 12:00:00 AM
  • Firstpage
    293
  • Lastpage
    294
  • Abstract
    The lemma of Lyapunov gives the necessary and sufficient condition for the stability of a time-invariant system in terms of the existence of a positive-definite symmetric matrix. In this letter, the lemma is generalised for time-varying systems, in which it is shown that additional conditions are required for the lemma to hold. The conditions involve boundedness of certain quantities and uniform complete observability of a pair of matrixes.
  • Keywords
    admittance; conductors (electric); filters; stability; time-varying systems; waveguides;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:19670225
  • Filename
    4207278
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=872766