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Avtomatika i Telemekhanika, 2006, Issue 4, Pages 53–85 (Mi at1165)  
This article is cited in 8 scientific papers (total in 8 papers)

Deterministic Systems

Causality and stability conditions for the control of a linear distributed system

È. M. Solnechnyi

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (390 kB) Citations (8)
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Abstract: For a linear distributed system controlled by nonlinear feedback, a sufficient condition for the existence, causality, and boundedness of an operator that transforms the external action and initial state of the system to the behavior of the output of a closed-loop system is formulated. A procedure is designed for determining the class of feedbacks ensuring the causality and stability of the closed-loop control system. It is applicable to a linear one-dimensional heat conduction system controlled by nonlinear temperature feedback to the boundary action.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 21.09.2005
English version:
Automation and Remote Control, 2006, Volume 67, Issue 4, Pages 562–588
DOI: https://doi.org/10.1134/S0005117906040059
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: È. M. Solnechnyi, “Causality and stability conditions for the control of a linear distributed system”, Avtomat. i Telemekh., 2006, no. 4, 53–85; Autom. Remote Control, 67:4 (2006), 562–588
Citation in format AMSBIB
\Bibitem{Sol06}
\by \`E.~M.~Solnechnyi
\paper Causality and stability conditions for the control of a~linear distributed system
\jour Avtomat. i Telemekh.
\yr 2006
\issue 4
\pages 53--85
\mathnet{http://mi.mathnet.ru/at1165}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2223201}
\zmath{https://zbmath.org/?q=an:1126.93356}
\transl
\jour Autom. Remote Control
\yr 2006
\vol 67
\issue 4
\pages 562--588
\crossref{https://doi.org/10.1134/S0005117906040059}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33646181208}
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  • https://www.mathnet.ru/eng/at/y2006/i4/p53
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:84
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