• DocumentCode
    3520873
  • Title

    On a geometrical approach to quadratic Lyapunov stability and robustness

  • Author

    Bajcinca, N. ; Flockerzi, D. ; Kouhi, Y.

  • Author_Institution
    Max Planck Inst. for Dynamics of Complex of Tech. Syst., Magdeburg, Germany
  • fYear
    2013
  • fDate
    10-13 Dec. 2013
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    A geometrical approach to quadratic Lyapunov stability for the class of switched linear systems which share a common invariant subspace is contributed in this article. The robustness with respect to canonical gap perturbations of common invariant subspaces associated with constituent system matrices is additionally addressed. Some well-known results on common quadratic stability are naturally recovered in this framework.
  • Keywords
    Lyapunov methods; geometry; invariance; linear systems; matrix algebra; perturbation techniques; robust control; time-varying systems; canonical gap perturbations; common invariant subspace; geometrical approach; quadratic Lyapunov stability; robustness; switched linear systems; system matrices; Lyapunov methods; Nickel; Robustness; Stability analysis; Switched systems; Switches; Switching systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
  • Conference_Location
    Firenze
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4673-5714-2
  • Type

    conf

  • DOI
    10.1109/CDC.2013.6759849
  • Filename
    6759849
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3520873