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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2010, Volume 10, Issue 4, Pages 82–104 (Mi vngu61)  
This article is cited in 3 scientific papers (total in 3 papers)

On Local Stability in the Identification Problem for Coefficients of Linear Difference Equation

A. A. Lomovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (310 kB) Citations (3)
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Abstract: The linear matrix difference equations arising in control theory are considered. The equation parameter estimate is called optimal if the distance between the measured data and the manyfold of equation solutions corresponding to the parameter value is minimal. In the paper, we derive quantitative characteristics of the optimal parameter estimates sensitivity to small disturbances in measured data.
Keywords: linear difference equations, coefficient inverse problems, structured total least squares estimates, stability of parameter estimates.
Received: 02.10.2009
English version:
Journal of Mathematical Sciences, 2013, Volume 188, Issue 4, Pages 410–434
DOI: https://doi.org/10.1007/s10958-012-1138-z
Document Type: Article
UDC: 517.962.22
Language: Russian
Citation: A. A. Lomov, “On Local Stability in the Identification Problem for Coefficients of Linear Difference Equation”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:4 (2010), 82–104; J. Math. Sci., 188:4 (2013), 410–434
Citation in format AMSBIB
\Bibitem{Lom10}
\by A.~A.~Lomov
\paper On Local Stability in the Identification Problem for Coefficients of Linear Difference Equation
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2010
\vol 10
\issue 4
\pages 82--104
\mathnet{http://mi.mathnet.ru/vngu61}
\transl
\jour J. Math. Sci.
\yr 2013
\vol 188
\issue 4
\pages 410--434
\crossref{https://doi.org/10.1007/s10958-012-1138-z}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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