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Upravlenie Bol'shimi Sistemami, 2010, Issue 28, Pages 89–125 (Mi ubs376)  
This article is cited in 1 scientific paper (total in 1 paper)

Analysis and Synthesis of Control Systems

Investigation of causality and stability conditions of a linear heat-conductivity object control system (special cases). Part I

E. M. Solnechnyi, L. A. Cheryomushkina

V.A. Trapeznikov ICS of RAS
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Abstract: We obtain the estimates of the norms of the boundary influences-to-temperature operators for two special cases of boundary conditions for the stable one-dimensional finite-length object of heat conductivity. These estimates are used to find the sufficient condition of causality and stability for the non-linear feedback control system.
Keywords: closed-loop system, causality, stability, distributed dynamic systems, a linear heat conduction object, complex variable theory.
Document Type: Article
UDC: 517.958
BBC: 22.161.5
Language: Russian
Citation: E. M. Solnechnyi, L. A. Cheryomushkina, “Investigation of causality and stability conditions of a linear heat-conductivity object control system (special cases). Part I”, UBS, 28 (2010), 89–125
Citation in format AMSBIB
\Bibitem{SolChe10}
\by E.~M.~Solnechnyi, L.~A.~Cheryomushkina
\paper Investigation of causality and stability conditions of a linear heat-conductivity object control system (special cases). Part~I
\jour UBS
\yr 2010
\vol 28
\pages 89--125
\mathnet{http://mi.mathnet.ru/ubs376}
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  • https://www.mathnet.ru/eng/ubs/v28/p89
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