15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
INTEGRAL ISS FOR SAMPLED-DATA NONLINEAR SYSTEMS
D. Nešić*
* Department of Electrical and Electronic Engineering, The
University of Melbourne, Parkville, 3010, Victoria, Australia.

We present sufficient conditions that guarantee that if a controller achieves integral input-to-state stability (iISS) of an approximate discrete-time model of a nonlinear sampled-data system, then the same controller will achieve semiglobal practical iISS of the exact discrete-time model by reducing the sampling period. Results are presented for arbitrary dynamic controllers that can be discontinuous in general.
Keywords: Discrete-time, integral input-to-state stability, nonlinear, Lyapunov method
Session slot T-Th-E07: Nonlinear Discrete Time Systems II/Area code 2c : Non-linear Systems