A. V. Kuntsevich, V. M. Kuntsevich, “Invariant sets for families of linear and nonlinear discrete systems with bounded disturbances”, Avtomat. i Telemekh., 2012, Issue 1,Pages <nobr>92

This article is cited in 9 papers

Nonlinear Systems

Invariant sets for families of linear and nonlinear discrete systems with bounded disturbances

A. V. Kuntsevich^a, V. M. Kuntsevich^b

^a V. M Glushkov Institute of Cybernetics, National Academy of Sciences, Kiev, Ukraine
^b Institute of Space Research, National Academy of Sciences and National Space Agency, Kiev, Ukraine

Abstract: We use difference inclusions to describe the dynamics of a family of nonlinear discrete systems subject to bounded disturbances. For a family of linear discrete systems, we get an analytic solution of the problem of finding the invariant set, and for families of nonlinear systems, we propose an iterative process that finds their invariant set and converges with the speed of a geometric progression. We also provide illustrative examples.

Presented by the member of Editorial Board: B. T. Polyak

Received: 19.01.2011