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 Trudy Inst. Mat. i Mekh. UrO RAN, 2011, Volume 17, Number 2, Pages 88–96 (Mi timm699)

On the complete damping of oscillations of an inhomogeneous rod by means of a boundary control at one end

V. A. Il'in

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: The process of damping oscillations of a rod consisting of two dissimilar segments and fixed at one end is considered. The damping is carried out by means of a boundary control at the other end of the rod.

Keywords: damping of oscillations, boundary control theory.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, 276, suppl. 1, S97–S105

Bibliographic databases:

UDC: 517.926

Citation: V. A. Il'in, “On the complete damping of oscillations of an inhomogeneous rod by means of a boundary control at one end”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 2, 2011, 88–96; Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S97–S105

Citation in format AMSBIB
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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. Kuleshov A.A., “Mixed problems for the equation of longitudinal vibrations of a heterogeneous rod with a free or fixed right end consisting of two segments with different densities and elasticities”, Doklady Mathematics, 85:1 (2012), 80–82
2. Kuleshov A.A., “Mixed problems for the equation of longitudinal vibrations of a heterogeneous rod and for the equation of transverse vibrations of a heterogeneous string consisting of two segments with different densities and elasticities”, Doklady Mathematics, 85:1 (2012), 98–101
3. Rogozhnikov A.M., “Optimal Control of Longitudinal Vibrations of Composite Rods with the Same Wave Propagation Time in Each Part”, Differ. Equ., 49:5 (2013), 607–616
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