• DocumentCode
    2085246
  • Title

    On the input-to-state stability (ISS) of a double integrator with saturated linear control laws

  • Author

    Shi, Guoyong ; Saberi, Ali

  • Author_Institution
    Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA
  • Volume
    1
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    59
  • Abstract
    We show that the closed loop system consisting of a double integrator with any stabilizing saturated linear control law is not input-to-state stable (ISS) even for external disturbances with arbitrarily small magnitude.
  • Keywords
    Lyapunov methods; closed loop systems; feedback; linear systems; nonlinear control systems; stability; closed loop system; double integrator; external disturbances; input-to-state stability; saturated linear control laws; Asymptotic stability; Closed loop systems; Computer science; Control systems; Ear; Feedback; Linear systems; Lyapunov method; Nonlinear systems; Open loop systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2002. Proceedings of the 2002
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-7298-0
  • Type

    conf

  • DOI
    10.1109/ACC.2002.1024780
  • Filename
    1024780