• DocumentCode
    3526360
  • Title

    ℒ2 gain analysis for switched symmetric systems with time delay under arbitrary switching

  • Author

    Zhai, Guisheng ; Chen, Xinkai ; Sun, Ye ; Michel, Anthony N.

  • Author_Institution
    Wakayama Univ., China
  • Volume
    3
  • fYear
    2003
  • fDate
    25-28 May 2003
  • Abstract
    In this paper, we study L2 gain properties for a class of switched systems which are composed of a finite number of linear time-invariant symmetric systems with time delay. We show that when all subsystems have the L2 gains γ in the sense of satisfying an LMI, the switched system has the same L2 gain γ under arbitrary switching. The key idea is to establish a common Lyapunov function for all subsystems in the sense of L2 gain.
  • Keywords
    Lyapunov matrix equations; delay systems; linear matrix inequalities; linear systems; optimal control; symmetry; LMI; arbitrary switching; common Lyapunov function; gain properties; linear time-invariant symmetric systems; subsystems; switched systems; time delay systems; Control systems; Delay effects; Linear systems; Lyapunov method; Signal design; Signal processing; Stability analysis; State-space methods; Sun; Switched systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on
  • Print_ISBN
    0-7803-7761-3
  • Type

    conf

  • DOI
    10.1109/ISCAS.2003.1204995
  • Filename
    1204995
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3526360