|
STABILITY AND STABILIZATION OF DISCRETE SYSTEMS WITH RANDOM AND UNCERTAIN PARAMETERS
Z. Bubnicki
Institute of Control and Systems Engineering
Wroclaw University of Technology
Wyb. Wyspianskiego 27, 50-370 Wroclaw, POLAND
Phone: +48 71 320 33 28; fax: +48 71 320 38 84
Email: bubnicki@ists.pwr.wroc.p
A class of time-varying and nonlinear discrete systems with random and uncertain parameters is considered. The method of an estimation (evaluation) of the probability or the certainty index that the system is globally asymptotically stable is presented. The estimation consists in the determination of the lower and upper bounds for the probability and the certainty index via the determination of a sufficient condition and a necessary condition for the global stability. A specific stabilization problem is formulated. A typical case with structured uncertainties is considered. Simple examples illustrate the presented approach.
Keywords: uncertainty, uncertain dynamic systems, discrete systems, stability, stabilization, stochastic parameters, stochastic properties, stochastic systems, random variables.
Session slot T-We-A15: Robust Analysis II/Area code 2e : Robust Control
 | 