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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 4, Pages 52–68 (Mi timm426)  
This article is cited in 2 scientific papers (total in 2 papers)

Optimal control under permanent disturbances

R. Gabasova, N. M. Dmitrukb, F. M. Kirillovab

a Belarusian State University
b Institute of Mathematics of the National Academy of Sciences of Belarus
Full-text PDF (262 kB) Citations (2)
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Abstract: For a dynamical system under unknown disturbances, an optimal observation problem arising from control problems under set-membership uncertainty is considered in the case when the initial state is not determined completely. It is required to obtain information on the states of the system by means of processing incomplete and inaccurate measurements of its current states. Methods of constructing a posteriori distributions and realizations of positional solutions are described. The results are illustrated by examples.
Keywords: linear systems, set-membership uncertainty, measurements, optimal observation, algorithm.
Received: 14.04.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2010, Volume 269, Issue 1, Pages S103–S120
DOI: https://doi.org/10.1134/S0081543810060106
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: R. Gabasov, N. M. Dmitruk, F. M. Kirillova, “Optimal control under permanent disturbances”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 4, 2009, 52–68; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S103–S120
Citation in format AMSBIB
\Bibitem{GabDmiKir09}
\by R.~Gabasov, N.~M.~Dmitruk, F.~M.~Kirillova
\paper Optimal control under permanent disturbances
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 4
\pages 52--68
\mathnet{http://mi.mathnet.ru/timm426}
\elib{https://elibrary.ru/item.asp?id=12952755}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2010
\vol 269
\issue , suppl. 1
\pages S103--S120
\crossref{https://doi.org/10.1134/S0081543810060106}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962360245}
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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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