• DocumentCode
    728404
  • Title

    Stability and L2-gain analysis of periodic piecewise linear systems

  • Author

    Panshuo Li ; Lam, James ; Yong Chen ; Kie Chung Cheung ; Yugang Niu

  • Author_Institution
    Dept. of Mech. Eng., Univ. of Hong Kong, Hong Kong, China
  • fYear
    2015
  • fDate
    1-3 July 2015
  • Firstpage
    3509
  • Lastpage
    3514
  • Abstract
    This paper investigates the stability and L2-gain problems for a class of continuous-time periodic piecewise linear systems with possibly non-Hurwitz subsystems. First, the exponential stability of periodic piecewise systems is studied by allowing the Lyapunov function to possibly non-monotonically decreasing over a period. A sufficient condition is established in terms of matrix inequalities. In light of the proposed Lyapunov function, the L2-gain criterion is derived for periodic piecewise linear systems as well.
  • Keywords
    Lyapunov methods; asymptotic stability; continuous time systems; linear matrix inequalities; linear systems; periodic control; piecewise linear techniques; L2-gain analysis; Lyapunov function; continuous-time periodic piecewise linear systems; exponential stability; matrix inequalities; possibly nonHurwitz subsystems; sufficient condition; Asymptotic stability; Linear systems; Lyapunov methods; Stability criteria; Switched systems; Switches;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference (ACC), 2015
  • Conference_Location
    Chicago, IL
  • Print_ISBN
    978-1-4799-8685-9
  • Type

    conf

  • DOI
    10.1109/ACC.2015.7171874
  • Filename
    7171874
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=728404