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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 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

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, 66:9, 1409–1422

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© Steklov Math. Inst. of RAS, 2026