• DocumentCode
    3743147
  • Title

    A note on input-to-state stability of linear and bilinear infinite-dimensional systems

  • Author

    Andrii Mironchenko;Fabian Wirth

  • Author_Institution
    Faculty of Computer Science and Mathematics, University of Passau, Innstraß
  • fYear
    2015
  • Firstpage
    495
  • Lastpage
    500
  • Abstract
    We propose a construction of Lyapunov functions for linear and bilinear infinite-dimensional integral input-to-state stable systems. In contrast to other constructions available in the literature, we do not impose strong restrictions on the type of the bilinear systems. The coercivity of such Lyapunov functions as well as a possible extension to systems with unbounded input operators are discussed.
  • Keywords
    "Lyapunov methods","Nonlinear systems","Stability analysis","Linear systems","Asymptotic stability","Robust stability","Robustness"
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
  • Type

    conf

  • DOI
    10.1109/CDC.2015.7402277
  • Filename
    7402277
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3743147