• DocumentCode
    1707750
  • Title

    On the uniqueness problem of Lyapunov matrices: a system with distributed delay

  • Author

    Chashnikov, Mikhail

  • Author_Institution
    St.-Petersburg State Univ., St. Petersburg, Russia
  • fYear
    2009
  • Firstpage
    1214
  • Lastpage
    1217
  • Abstract
    The construction of Lyapunov-Krasovskii functionals for a linear time-delay system depends on so-called Lyapunov matrices. These matrices satisfy a system of matrix delay equation with specific boundary conditions. We study the problem of uniqueness of this system´s solution.
  • Keywords
    Lyapunov matrix equations; delays; Lyapunov matrices; Lyapunov-Krasovskii functionals; distributed delay; linear time-delay system; Boundary conditions; Control systems; Delay effects; Delay systems; Equations; Lyapunov method; Mathematics; Process control; Stability analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Applications, (CCA) & Intelligent Control, (ISIC), 2009 IEEE
  • Conference_Location
    Saint Petersburg
  • Print_ISBN
    978-1-4244-4601-8
  • Electronic_ISBN
    978-1-4244-4602-5
  • Type

    conf

  • DOI
    10.1109/CCA.2009.5281036
  • Filename
    5281036
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1707750