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Avtomatika i Telemekhanika, 2019, Issue 9, Pages 25–44
DOI: https://doi.org/10.1134/S0005231019090046 (Mi at15340) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Bounded perturbations of nonlinear discrete systems: estimation of impact and minimization

V. M. Kuntsevich

Space Research Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine
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DOI: https://doi.org/10.1134/S0005231019090046
Abstract: The problem of minimizing the impact of bounded perturbations on certain classes of controlled nonlinear discrete systems is solved. The radius of the invariant set, an analog of variance for the perturbations of probabilistic nature, is taken as a measure of the impact. The cases of two-sided linear and nonlinear constraints that form multivalued mappings and also the case in which the nonlinear function has a given estimate of the norm are considered.
Keywords: robust control, nonlinear discrete systems, bounded perturbations.

Received: 13.07.2018
Revised: 04.09.2018
Accepted: 08.11.2018
English version:
Automation and Remote Control, 2019, Volume 80, Issue 9, Pages 1574–1590
DOI: https://doi.org/10.1134/S0005117919090029
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. M. Kuntsevich, “Bounded perturbations of nonlinear discrete systems: estimation of impact and minimization”, Avtomat. i Telemekh., 2019, no. 9, 25–44; Autom. Remote Control, 80:9 (2019), 1574–1590
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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