• DocumentCode
    2824886
  • Title

    Numerical verification of local input-to-state stability for large networks

  • Author

    Dashkovskiy, Sergey N. ; Rüffer, Björn S. ; Wirth, Fabian R.

  • Author_Institution
    Univ. Bremen, Bremen
  • fYear
    2007
  • fDate
    12-14 Dec. 2007
  • Firstpage
    4471
  • Lastpage
    4476
  • Abstract
    We consider networks of locally input-to-state stable (LISS) systems. Under a small gain condition the entire network is again LISS. An efficient numerical test to check the small gain condition is presented in this paper. An example from applications serves as a demonstration for quantitative results.
  • Keywords
    Lyapunov methods; interconnected systems; stability; Lyapunov function; input-to-state stability; large networks; large scale interconnections; Control systems; Convergence; H infinity control; Interconnected systems; Large-scale systems; Lyapunov method; Stability; System testing; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2007 46th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-1497-0
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2007.4434626
  • Filename
    4434626