• DocumentCode
    2192337
  • Title

    On the Lyapunov theorem for descriptor systems

  • Author

    Ishihara, João Yoshiyuki ; Terra, Marco Henrique

  • Author_Institution
    Electr. Eng. Dept., Sao Paulo Univ., Brazil
  • Volume
    3
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    2860
  • Abstract
    We make some comments on the well known generalized Lyapunov theorem. We show that this theorem is not always valid. Some cases where the Lyapunov equation of this theorem can be used are clarified. We also present a corrected version of this theorem with a generalized Lyapunov equation similar to the original one
  • Keywords
    Lyapunov methods; eigenvalues and eigenfunctions; linear systems; matrix algebra; stability criteria; descriptor systems; eigenvalues; generalized Lyapunov theorem; impulse response; nonsingular matrix; observability; stability; Aircraft; Circuit stability; Controllability; Equations; Observability; Orbital robotics; Regulators; State-space methods;
  • 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/.2001.980709
  • Filename
    980709
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2192337