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Avtomatika i Telemekhanika, 2012, Issue 1, Pages 92–106 (Mi at3596)  
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
Full-text PDF (231 kB) Citations (9)
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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
English version:
Automation and Remote Control, 2012, Volume 73, Issue 1, Pages 83–96
DOI: https://doi.org/10.1134/S0005117912010067
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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\paper Invariant sets for families of linear and nonlinear discrete systems with bounded disturbances
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\jour Autom. Remote Control
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\issue 1
\pages 83--96
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :201
    References:66
    First page:24
     
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