• DocumentCode
    1496637
  • Title

    Existence of a common quadratic lyapunov function for discrete switched linear systems with m stable subsystems

  • Author

    Sun, Chao ; Fang, B. ; Huang, Wei

  • Author_Institution
    Sch. of Astronaut., Harbin Inst. of Technol., Harbin, China
  • Volume
    5
  • Issue
    3
  • fYear
    2011
  • Firstpage
    535
  • Lastpage
    537
  • Abstract
    The problem on the existence of a common quadratic Lyapunov function (CQLF) for discrete switched linear systems with m stable subsystems is considered. System matrices are Schur stable. A necessary condition for the existence of a CQLF and a sufficient condition for the non-existence of a CQLF are derived, respectively. Numerical examples are presented to illustrate the results.
  • Keywords
    Lyapunov methods; discrete systems; linear systems; matrix algebra; stability; Schur stable system matrix; common quadratic Lyapunov function; discrete switched linear system; m stable subsystem;
  • fLanguage
    English
  • Journal_Title
    Control Theory & Applications, IET
  • Publisher
    iet
  • ISSN
    1751-8644
  • Type

    jour

  • DOI
    10.1049/iet-cta.2010.0271
  • Filename
    5751727
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1496637