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

Ch M. Hajiyev

doi:10.1007/s10513-005-0181-3

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

Ch M. Hajiyev^*

^*Corresponding author for this work

Department of Aeronautical Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1409-1422
Number of pages	14
Journal	Automation and Remote Control
Volume	66
Issue number	9
DOIs	https://doi.org/10.1007/s10513-005-0181-3
Publication status	Published - Sept 2005

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

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