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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
Full-text PDF (962 kB) Citations (2)
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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
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  • https://www.mathnet.ru/eng/at15340
  • https://www.mathnet.ru/eng/at/y2019/i9/p25
    • This publication is cited in the following 2 articles:
    1. Shakhnoza R. Ubaydullayeva, Sayyora Yunusova, Yeshmatova Barno, 2022 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), 2022, 919  crossref
    2. O.V. Voitko, V.G. Solonnіkov, O.V. Polyakova, A.M. Tkachov, “Equations of periodic modes, which take into account features of the dynamics of their course in nonlinear automatic systems with computers in control system”, soi, 2021, no. 1(164), 12  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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    Abstract page:239
    Full-text PDF :50
    References:62
    First page:19
     
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