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Upravlenie Bol'shimi Sistemami, 2011, Issue 32, Pages 40–82 (Mi ubs527)  

Mathematical Control Theory

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

È. M. Solnechnyi, L. A. Cheryomushkina

Institute of Control Sciences of RAS
References:
Abstract: For a special sort of boundary conditions of stable one-dimensional finite-length object of heat conductivity estimates are derived of norms of the operators translating boundary influences into the object temperature. These estimates are used for finding a sufficient condition of causality and stability for the system consisting of the object and the nonlinear feedback.
Keywords: system with feedback, causality, stability, distributed dynamic system, linear heat conduction object, complex-variable functions theory.
Document Type: Article
UDC: 517.958
BBC: 22.161.5
Language: Russian
Citation: È. M. Solnechnyi, L. A. Cheryomushkina, “Investigation of causality and stability conditions of linear heat-conductivity object control system (special cases). Part II”, UBS, 32 (2011), 40–82
Citation in format AMSBIB
\Bibitem{SolChe11}
\by \`E.~M.~Solnechnyi, L.~A.~Cheryomushkina
\paper Investigation of causality and stability conditions of linear heat-conductivity object control system (special cases). Part II
\jour UBS
\yr 2011
\vol 32
\pages 40--82
\mathnet{http://mi.mathnet.ru/ubs527}
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