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Avtomatika i Telemekhanika, 2023, Issue 5, Pages 21–28
DOI: https://doi.org/10.31857/S0005231023050021 (Mi at16116) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Nonlinear Systems

Identification of periodic regimes in a dynamic system

A. N. Naimova, M. V. Bystretskiia, A. B. Nazimovb

a Vologda State University, Vologda, Russia
b International Innovation University, Sochi, Russia
Full-text PDF (192 kB) First page Citations (3)
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DOI: https://doi.org/10.31857/S0005231023050021
Abstract: For a dynamic system given by first-order ordinary differential equations, the problem of identification of periodic regimes is investigated. This problem is the establishment the periodicity of an arbitrary solution via the periodicity of the observed value of solution. The conditions under which the problem of identification of periodic regimes is solvable are found. Formulated and proven theorems supplement the well-known results on the observability of dynamic systems.
Keywords: dynamic system, identification of periodic regimes, observed value.
Funding agency Grant number
Russian Science Foundation 23-21-00032
Presented by the member of Editorial Board: N. Kuznetsov

Received: 23.01.2023
Revised: 06.02.2023
Accepted: 20.03.2023
English version:
Automation and Remote Control, 2023, Volume 84, Issue 5, Pages 470–475
DOI: https://doi.org/10.1134/S0005117923050077
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Naimov, M. V. Bystretskii, A. B. Nazimov, “Identification of periodic regimes in a dynamic system”, Avtomat. i Telemekh., 2023, no. 5, 21–28; Autom. Remote Control, 84:5 (2023), 470–475
Citation in format AMSBIB
\Bibitem{NaiBysNaz23}
\by A.~N.~Naimov, M.~V.~Bystretskii, A.~B.~Nazimov
\paper Identification of periodic regimes in a dynamic system
\jour Avtomat. i Telemekh.
\yr 2023
\issue 5
\pages 21--28
\mathnet{http://mi.mathnet.ru/at16116}
\crossref{https://doi.org/10.31857/S0005231023050021}
\edn{https://elibrary.ru/AFNHKP}
\transl
\jour Autom. Remote Control
\yr 2023
\vol 84
\issue 5
\pages 470--475
\crossref{https://doi.org/10.1134/S0005117923050077}
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  • https://www.mathnet.ru/eng/at/y2023/i5/p21
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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