• DocumentCode
    1006616
  • Title

    Vector norms as Lyapunov functions for linear systems

  • Author

    Kiendl, H. ; Adamy, Jurgen ; Stelzner, P.

  • Author_Institution
    Dept. of Electr. Eng., Dortmund Univ., Germany
  • Volume
    37
  • Issue
    6
  • fYear
    1992
  • fDate
    6/1/1992 12:00:00 AM
  • Firstpage
    839
  • Lastpage
    842
  • Abstract
    A unified theory of quadratic and piecewise-linear Lyapunov functions for continuous and discrete-time linear systems is presented. The key to this work is the description of these Lyapunov functions by vector norms. The main results are sufficient and necessary conditions for a vector norm to be a Lyapunov function as well as a method (based on these conditions) of constructing such Lyapunov functions
  • Keywords
    Lyapunov methods; discrete time systems; linear systems; stability criteria; Lyapunov functions; continuous time linear systems; discrete-time linear systems; necessary conditions; sufficient conditions; unified theory; vector norms; Continuous time systems; Linear systems; Lyapunov method; Nonlinear control systems; Piecewise linear techniques; Shape; Stability; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.256362
  • Filename
    256362
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1006616