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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 1, Pages 109–122 (Mi timm783)  

This article is cited in 10 scientific papers (total in 10 papers)

On a reconstruction algorithm for the trajectory and control in a delay system

M. S. Blizorukovaab, V. I. Maksimovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
References:
Abstract: We discuss a problem of the dynamic reconstruction of unmeasured coordinates of the phase vector and unknown controls in nonlinear vector equations with delay. A regularizing algorithm is proposed for reconstructing both controls and unmeasured coordinates simultaneously with the processes. The algorithm is stable with respect to information noises and computational errors.
Keywords: dynamic reconstruction, method of auxiliary models.
Received: 01.06.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 280, Issue 1, Pages 66–79
DOI: https://doi.org/10.1134/S0081543813020065
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: M. S. Blizorukova, V. I. Maksimov, “On a reconstruction algorithm for the trajectory and control in a delay system”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 1, 2012, 109–122; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 66–79
Citation in format AMSBIB
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\by M.~S.~Blizorukova, V.~I.~Maksimov
\paper On a~reconstruction algorithm for the trajectory and control in a~delay system
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 1
\pages 109--122
\mathnet{http://mi.mathnet.ru/timm783}
\elib{https://elibrary.ru/item.asp?id=17358682}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2013
\vol 280
\issue , suppl. 1
\pages 66--79
\crossref{https://doi.org/10.1134/S0081543813020065}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84876005281}
Linking options:
  • https://www.mathnet.ru/eng/timm783
  • https://www.mathnet.ru/eng/timm/v18/i1/p109
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Abstract page:400
    Full-text PDF :113
    References:90
    First page:5
     
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