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Avtomatika i Telemekhanika, 2010, Issue 11, Pages 69–80 (Mi at1101)  
This article is cited in 1 scientific paper (total in 1 paper)

Deterministic Systems

Smooth model of the relay with hysteresis

Nguyen Thi Hien, B. N. Sadovskii

Voronezh State University, Voronezh, Russia
Full-text PDF (202 kB) Citations (1)
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Abstract: A model of the relay with hysteresis following the ordinary differential equation with large parameter was proposed. It offers a convenient vehicle for numerical analysis using the advanced packages of the applied programs and also may prove helpful in the qualitative studies of the control systems with the methods of the differential equation theory. Consideration was given to the question of the smooth model error as compared with the existing discrete models. The main result lies in the fact that for a certain class of the relay control systems the behavior of such systems with smooth model having the parameter tending to infinity converges uniformly over any time interval to the corresponding behavior of systems with discrete model. Closeness of these kinds of behavior was estimated, and a special case was discussed.
Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 08.06.2009
English version:
Automation and Remote Control, 2010, Volume 71, Issue 11, Pages 2320–2330
DOI: https://doi.org/10.1134/S0005117910110056
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Nguyen Thi Hien, B. N. Sadovskii, “Smooth model of the relay with hysteresis”, Avtomat. i Telemekh., 2010, no. 11, 69–80; Autom. Remote Control, 71:11 (2010), 2320–2330
Citation in format AMSBIB
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\paper Smooth model of the relay with hysteresis
\jour Avtomat. i Telemekh.
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\pages 69--80
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\issue 11
\pages 2320--2330
\crossref{https://doi.org/10.1134/S0005117910110056}
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  • https://www.mathnet.ru/eng/at/y2010/i11/p69
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:449
    Full-text PDF :171
    References:34
    First page:11
     
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