Local ISS of large-scale interconnections and estimates for stability regions

نویسندگان

  • Sergey Dashkovskiy
  • Björn Rüffer
چکیده

We consider interconnections of locally input-to-state stable (LISS) systems. The class of LISS systems is quite large, in particular it contains input-to-state stable (ISS) and integral input-to-state stable (iISS) systems. Local small-gain conditions both for LISS trajectory and Lyapunov formulations guaranteeing LISS of the composite system are provided in this paper. Notably, estimates for the resulting stability region of the composite system are also given. This in particular provides an advantage over the linearization approach, as will be discussed.

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عنوان ژورنال:
  • Systems & Control Letters

دوره 59  شماره 

صفحات  -

تاریخ انتشار 2010