• DocumentCode
    2192377
  • Title

    Passivity approach to feedback connection stability for discrete-time descriptor systems

  • Author

    Chen, Jian Liung ; Lee, Li

  • Author_Institution
    Dept. of Electr. Eng., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan
  • Volume
    3
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    2865
  • Abstract
    The linear matrix inequality (LMI)-based passivity approach to studying both input-output and internal stability problems for feedback connections of discrete-time linear descriptor systems with passive nonlinearities is developed. We show that, under a mild condition, a set of LMIs is equivalent to the strictly positive realness of the linear descriptor systems, and is strong enough to guarantee both the finite gain l2-stability and asymptotic hyperstability of the feedback connection
  • Keywords
    asymptotic stability; discrete time systems; feedback; linear systems; matrix algebra; asymptotic hyperstability; discrete-time systems; feedback; input-output stability; internal stability; linear descriptor systems; linear matrix inequality; passive nonlinearities; passivity; Asymptotic stability; Councils; Feedback; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
  • Conference_Location
    Orlando, FL
  • Print_ISBN
    0-7803-7061-9
  • Type

    conf

  • DOI
    10.1109/.2001.980710
  • Filename
    980710