• DocumentCode
    3182337
  • Title

    Asymptotic stability of two-dimensional continuous Roesser models with singularities at the stability boundary

  • Author

    Knorn, Steffi ; Middleton, R.H.

  • Author_Institution
    Hamilton Inst., NUI Maynooth, Maynooth, Ireland
  • fYear
    2012
  • fDate
    10-13 Dec. 2012
  • Firstpage
    7787
  • Lastpage
    7792
  • Abstract
    It is shown that the existence of a negative semidefinite solution Q of the Lyapunov equation ATP+AP = Q with a positive definite block diagonal matrix P = PT together with simple additional conditions is sufficient to guarantee asymptotic stability. The stability conditions presented can be used to study a wider range of dynamical systems, including systems with singularities at the stability boundary, which cannot be exponentially stable.
  • Keywords
    Lyapunov methods; asymptotic stability; matrix algebra; Lyapunov equation; asymptotic stability; dynamical systems; exponential stability; negative semidefinite solution; positive definite block diagonal matrix; stability boundary; two-dimensional continuous Roesser models; Amplitude modulation; Asymptotic stability; Continuous time systems; Stability criteria; Symmetric matrices; Thermal stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
  • Conference_Location
    Maui, HI
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4673-2065-8
  • Electronic_ISBN
    0743-1546
  • Type

    conf

  • DOI
    10.1109/CDC.2012.6426968
  • Filename
    6426968
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3182337