RT Journal Article ID 5a0a5bfc38048dff A1 Polyak, Boris T. A1 Kuntsevich, Vsevolod M. T1 Invariant Sets of Nonlinear Discrete Systems with Bounded Disturbances and Control Problems JF Journal of Automation and Information Sciences JO JAI(S) YR 2009 FD 2009-12-30 VO 41 IS 11 SP 1 OP 16 K1 invariant set K1 upper-bound estimate K1 discrete system K1 bounden disturbances K1 closed-loop system AB 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. PB Begell House LK https://www.dl.begellhouse.com/journals/2b6239406278e43e,0f8bdb634d301c54,5a0a5bfc38048dff.html