%0 Journal Article %A Pshenitchnyi, Boris N. %A Kuntsevich, Vsevolod M. %D 1997 %I Begell House %N 4-5 %P 169-179 %R 10.1615/JAutomatInfScien.v29.i4-5.180 %T Invariant and Stationary Sets of Nonlinear Discrete Systems Under Bounded Perturbations %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,24376d772e1997e9,4e3b56e876e6c264.html %V 29 %X A constructive solution to the problem of determination of a minimal invariant (stationary) set is obtained for several types of discrete systems, namely, for systems with discontinues (relay-type) nonlinearities, with "saturation", and for Lur'e-type systems that are subject to the action of additive bounded perturbations for which only a priori bounds are given in the form of inclusion to given bounded convex sets. An example demonstrating the proposed method is presented. %8 1997-10-01