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Avtomatika i Telemekhanika, 2019, Issue 5, Pages 58–65
DOI: https://doi.org/10.1134/S0005231019050039 (Mi at15033) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Nonlinear Systems

On small perturbations of a periodic homogeneous differential inclusion with an asymptotically stable set

M. V. Morozov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (594 kB) Citations (2)
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DOI: https://doi.org/10.1134/S0005231019050039
Abstract: It is proved that the solutions of a periodic homogeneous differential inclusion with an asymptotically stable set obey the exponential upper bound under small perturbations that do not violate its periodicity and homogeneity.
Keywords: periodic homogeneous differential inclusion, asymptotically stable set, small perturbations.
Presented by the member of Editorial Board: A. G. Kushner

Received: 10.04.2018
Revised: 30.10.2018
Accepted: 08.11.2018
English version:
Automation and Remote Control, 2019, Volume 80, Issue 5, Pages 834–839
DOI: https://doi.org/10.1134/S0005117919050035
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. V. Morozov, “On small perturbations of a periodic homogeneous differential inclusion with an asymptotically stable set”, Avtomat. i Telemekh., 2019, no. 5, 58–65; Autom. Remote Control, 80:5 (2019), 834–839
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2019/i5/p58
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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