%0 Journal Article
%A Polyak, Boris T.
%A Kuntsevich, Vsevolod M.
%D 2009
%I Begell House
%K invariant set, upper-bound estimate, discrete system, bounden disturbances, closed-loop system
%N 11
%P 1-16
%R 10.1615/JAutomatInfScien.v41.i11.10
%T Invariant Sets of Nonlinear Discrete Systems with Bounded Disturbances and Control Problems
%U http://dl.begellhouse.com/journals/2b6239406278e43e,0f8bdb634d301c54,5a0a5bfc38048dff.html
%V 41
%X The paper consists of two interdependent parts. In the first part we calculate the upper-bound estimates of invariant sets and their radii for the class of nonstationary linear discrete systems and certain nonlinear discrete systems under bounded disturbances with the given a priori set-values estimates. In the second part, based on the calculated upper-bound estimates of the radii of invariant sets, we synthesize the control that minimizes these estimates for the closed-loop systems with a feedback.
%8 2009-12-30