• DocumentCode
    701932
  • Title

    Stability margin via reflection vectors

  • Author

    Nurges, U.

  • Author_Institution
    Institute of Cybernetics, Tallinn Technical University, Estonia
  • fYear
    2003
  • fDate
    1-4 Sept. 2003
  • Firstpage
    769
  • Lastpage
    772
  • Abstract
    A new stability margin for discrete-time systems is proposed in the system characteristic polynomial coefficient space making use of, so-called, reflection vectors of monic Schur polynomials. Reflection vector margins give the distance to the stability boundary in directions of In reflection vectors of an n-th degree polynomial. The relations between the reflection vectors and its roots on the unit circle are obtained. An iterative procedure for stability radius determination is proposed.
  • Keywords
    Asymptotic stability; Bismuth; Discrete-time systems; Frequency-domain analysis; Polynomials; Robust stability; Stability criteria; Robust stability; linear discrete-time systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    European Control Conference (ECC), 2003
  • Conference_Location
    Cambridge, UK
  • Print_ISBN
    978-3-9524173-7-9
  • Type

    conf

  • Filename
    7085050