Geodesic
On control of dynamic of a pipeline
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 4, pp. 89-97

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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. 
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     author = {P. A. Vel'misov and A. Gladun},
     title = {On control of dynamic of a pipeline},
     journal = {\v{Z}urnal Srednevol\v{z}skogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {89--97},
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     volume = {18},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVMO_2016_18_4_a9/}
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P. A. Vel'misov; A. Gladun. On control of dynamic of a pipeline. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 4, pp. 89-97. http://geodesic.mathdoc.fr/item/SVMO_2016_18_4_a9/