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Avtomatika i Telemekhanika, 2011, Issue 4, Pages 11–26 (Mi at1686)  
This article is cited in 5 scientific papers (total in 5 papers)

Linear Systems

On stability conditions of a control system for a linear heat transfer object bounded from one side

E. M. Solnechnyi, L. A. Cheremushkina

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (238 kB) Citations (5)
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Abstract: Using the Efros' theorem from the theory of functions of a complex variable, we derive bounds on the norms of operators that describe the dynamics of linear distributed heat transfer objects and objects with similar dynamic properties. These results are applied to studying stability conditions for single- and double-layered one-dimensional heat transfer objects bounded from one side. For each of the studied objects, results of previous works imply a sufficient stability condition for a closed control system that consists of the object and its feedback.
Presented by the member of Editorial Board: B. T. Polyak

Received: 22.06.2010
English version:
Automation and Remote Control, 2011, Volume 72, Issue 4, Pages 684–698
DOI: https://doi.org/10.1134/S0005117911040023
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. M. Solnechnyi, L. A. Cheremushkina, “On stability conditions of a control system for a linear heat transfer object bounded from one side”, Avtomat. i Telemekh., 2011, no. 4, 11–26; Autom. Remote Control, 72:4 (2011), 684–698
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:61
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