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Avtomatika i Telemekhanika, 2012, Issue 1, Pages 92–106
(Mi at3596)
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This article is cited in 9 scientific papers (total in 9 papers)
Nonlinear Systems
Invariant sets for families of linear and nonlinear discrete systems with bounded disturbances
A. V. Kuntsevicha, V. M. Kuntsevichb 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.
Citation:
A. V. Kuntsevich, V. M. Kuntsevich, “Invariant sets for families of linear and nonlinear discrete systems with bounded disturbances”, Avtomat. i Telemekh., 2012, no. 1, 92–106; Autom. Remote Control, 73:1 (2012), 83–96
Linking options:
https://www.mathnet.ru/eng/at3596 https://www.mathnet.ru/eng/at/y2012/i1/p92
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Abstract page: | 533 | Full-text PDF : | 184 | References: | 50 | First page: | 24 |
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