We compare the problems of tracking extremum parameters in the method of least squares and in the method of variational identification of linear dynamic models for equations with constant coefficients. We derive tracking equations and obtain formulas for the vector of the first order derivatives and the matrix of the second order derivatives of the identification functional with respect to parameters. Bibliography: 5 titles.
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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 11, No. 3, 2011, pp. 95-113.
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Egorshin, A.O. On Tracking Extremum Parameters in the Identification Variational Problem. J Math Sci 195, 791–804 (2013). https://doi.org/10.1007/s10958-013-1618-9
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DOI: https://doi.org/10.1007/s10958-013-1618-9