• DocumentCode
    2212764
  • Title

    Necessary and sufficient conditions for finite-time stability of linear systems

  • Author

    Amato, F. ; Ariola, M. ; Cosentino, C. ; Abdallah, C.T. ; Dorato, P.

  • Author_Institution
    Universita Mediterranea di Reggio Calabria, Italy
  • Volume
    5
  • fYear
    2003
  • fDate
    4-6 June 2003
  • Firstpage
    4452
  • Abstract
    In this paper we consider the finite-time stability and finite-time boundedness problems for linear systems subject to exogenous disturbances. The main results of the paper are some necessary and sufficient conditions, obtained by means of an approach based on operator theory; such conditions improve some recent results on this topic. An example is provided to illustrate the proposed technique.
  • Keywords
    linear systems; mathematical operators; matrix algebra; stability; exogenous disturbances; finite-time boundedness problems; finite-time stability; linear systems; operator theory; Asymptotic stability; Chaos; Control systems; Linear matrix inequalities; Linear systems; Lyapunov method; Principal component analysis; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2003. Proceedings of the 2003
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-7896-2
  • Type

    conf

  • DOI
    10.1109/ACC.2003.1240541
  • Filename
    1240541