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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 1, Pages 17–26 (Mi timm668)  
This article is cited in 2 scientific papers (total in 2 papers)

On the reconstruction of the trajectory and control in a nonlinear second-order system

M. S. Blizorukova

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (171 kB) Citations (2)
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Abstract: We consider problems of the dynamic reconstruction of unknown characteristics in a nonlinear second-order system. A dynamic variant of solving these problems is proposed. More exactly, it is assumed that the numerical solution process depends on variable (and incomplete) information on the parameters of the system. Resolving algorithms are based on the method of auxiliary models. The algorithms are stepwise; they work on finite time grids and find successive approximations to the required solution taking into account the current information on the parameters of the system.
Keywords: dynamic reconstruction, method of auxiliary models.
Received: 09.11.2010
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 275, Issue 1, Pages S1–S11
DOI: https://doi.org/10.1134/S008154381109001X
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: M. S. Blizorukova, “On the reconstruction of the trajectory and control in a nonlinear second-order system”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 1, 2011, 17–26; Proc. Steklov Inst. Math. (Suppl.), 275, suppl. 1 (2011), S1–S11
Citation in format AMSBIB
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\paper On the reconstruction of the trajectory and control in a~nonlinear second-order system
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\vol 17
\issue 1
\pages 17--26
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2011
\vol 275
\issue , suppl. 1
\pages S1--S11
\crossref{https://doi.org/10.1134/S008154381109001X}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:72
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