• DocumentCode
    1999088
  • Title

    Stabilization of Switched Linear Systems via LaSalle´s Invariance Principle

  • Author

    Cheng, Daizhan ; Wang, Jinhuan ; Hu, Xiaoming

  • Author_Institution
    CAS, Beijing
  • fYear
    2007
  • fDate
    May 30 2007-June 1 2007
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    This paper considers the stability of switched linear systems. Assume a common weak quadratic Lyapunov function exists and the switches satisfy certain ergodic property, we investigate two extensions of LaSalle´s invariance principle. Unlike most existing results, the systems we investigated may have switching modes, which are not asymptotically stable. An application to the consensus of multi-agent systems is presented.
  • Keywords
    invariance; linear systems; stability; LaSalle invariance principle; multiagent systems; quadratic Lyapunov function; stabilization; switched linear systems; Asymptotic stability; Automatic control; Automation; Content addressable storage; Control systems; Linear systems; Lyapunov method; Multiagent systems; Nonlinear systems; Switched systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control and Automation, 2007. ICCA 2007. IEEE International Conference on
  • Conference_Location
    Guangzhou
  • Print_ISBN
    978-1-4244-0818-4
  • Electronic_ISBN
    978-1-4244-0818-4
  • Type

    conf

  • DOI
    10.1109/ICCA.2007.4376308
  • Filename
    4376308