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Avtomatika i Telemekhanika, 2005, Issue 9, Pages 54–67 (Mi at1432)  
Stochastic Systems

Verification of the mathematical model of a multidimensional dynamic system for adequacy based on the spectral norm of a residual matrix

Ch. M. Gadzhiev

Istanbul Technical University, Istanbul, Turkey
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Abstract: An approach is suggested to the operative verification for adequacy of the mathematical model of a multidimensional dynamic system on the basis of the statistical analysis of a sequence of residuals between output coordinates of the system and those of its mathematical model. Here, a new statistic, namely, the spectral norm of a normalized matrix of residuals, is introduced and a method of defining the upper confidence bound of this statistic is given.
Presented by the member of Editorial Board: V. A. Lototskii

Received: 28.06.2004
English version:
Automation and Remote Control, 2005, Volume 66, Issue 9, Pages 1409–1422
DOI: https://doi.org/10.1007/s10513-005-0181-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Ch. M. Gadzhiev, “Verification of the mathematical model of a multidimensional dynamic system for adequacy based on the spectral norm of a residual matrix”, Avtomat. i Telemekh., 2005, no. 9, 54–67; Autom. Remote Control, 66:9 (2005), 1409–1422
Citation in format AMSBIB
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\by Ch.~M.~Gadzhiev
\paper Verification of the mathematical model of a~multidimensional dynamic system for adequacy based on the spectral norm of a~residual matrix
\jour Avtomat. i Telemekh.
\yr 2005
\issue 9
\pages 54--67
\mathnet{http://mi.mathnet.ru/at1432}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2172621}
\transl
\jour Autom. Remote Control
\yr 2005
\vol 66
\issue 9
\pages 1409--1422
\crossref{https://doi.org/10.1007/s10513-005-0181-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-26044475897}
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