• DocumentCode
    1538434
  • Title

    Two conditions concerning common quadratic Lyapunov functions for linear systems

  • Author

    Ooba, Tatsushi ; Funahashi, Yasuyuki

  • Author_Institution
    Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan
  • Volume
    42
  • Issue
    5
  • fYear
    1997
  • fDate
    5/1/1997 12:00:00 AM
  • Firstpage
    719
  • Lastpage
    722
  • Abstract
    Concerning a pair of linear systems, some triangle conditions for the existence of a common quadratic Lyapunov function are presented in this paper. These conditions are derived from a criterion for judging the semipositiveness of a linear map defined on symmetric matrices
  • Keywords
    Lyapunov methods; linear systems; matrix algebra; common quadratic Lyapunov functions; linear map; linear systems; semipositiveness; symmetric matrices; triangle conditions; Attenuation measurement; Automatic control; Control systems; Filtering theory; Linear matrix inequalities; Linear systems; Optimal control; Performance gain; Robust stability; Uncertainty;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.580888
  • Filename
    580888