• DocumentCode
    488818
  • Title

    A Necessary and Sufficient Condition for Quadratic Stability of a Matrix Polytope

  • Author

    Kokame, Hlideki ; Mori, Takehiro

  • Author_Institution
    Department of Electrical Engineering, Osaka Institute of Technology, Ohmiya, Asahi-ku, Osaka 535, JAPAN
  • fYear
    1991
  • fDate
    26-28 June 1991
  • Firstpage
    877
  • Lastpage
    878
  • Abstract
    The problem of the quadratic stability of uncertain systems is studied within the class of symmetric matrices. The present paper shows that this generalization does not produce any problem under quite a reasonable condition. Some results along this line are presented. One of them shows that the stability test for the case of a matrix polytope becomes simple enough so that it can be formulated in a standard form of optimization problem.
  • Keywords
    Constraint theory; Information science; Linear systems; Lyapunov method; Stability criteria; Sufficient conditions; Symmetric matrices; Testing; Uncertain systems; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1991
  • Conference_Location
    Boston, MA, USA
  • Print_ISBN
    0-87942-565-2
  • Type

    conf

  • Filename
    4791502