Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva
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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2016, Volume 18, Number 4, Pages 89–97 (Mi svmo630)  
This article is cited in 1 scientific paper (total in 1 paper)

Applied mathematics and mechanics

On control of dynamic of a pipeline

P. A. Vel'misova, A. Gladunb

a Ulyanovsk State Technical University
b Ulyanovsk Higher Civil Aviation School
Full-text PDF (878 kB) Citations (1)
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Abstract: The problem of control of a mechanical system, which is a hollow elastic rod with a fluid or gas, flowing inside it (pipeline), is investigated. The feedback controls to provide the asymptotic stability of the pipeline vibrations are constructed. The results of numerical simulation of the behavior of the mechanical system under the action of constructed controls with given parameters are presented.
Keywords: elastic pipeline, dynamics, controllability, feedback control, Lyapunov function, partial differential equations, Galerkin method.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2014/232
Russian Foundation for Basic Research 15-01-08599_а
15-41-02455р_поволжье_а
Bibliographic databases:
Document Type: Article
UDC: 539.3:533.6:517.9
Language: Russian
Citation: P. A. Vel'misov, A. Gladun, “On control of dynamic of a pipeline”, Zhurnal SVMO, 18:4 (2016), 89–97
Citation in format AMSBIB
\Bibitem{VelGla16}
\by P.~A.~Vel'misov, A.~Gladun
\paper On control of dynamic of a pipeline
\jour Zhurnal SVMO
\yr 2016
\vol 18
\issue 4
\pages 89--97
\mathnet{http://mi.mathnet.ru/svmo630}
\elib{https://elibrary.ru/item.asp?id=27398063}
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  • https://www.mathnet.ru/eng/svmo/v18/i4/p89
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva
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