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A new method of parameter estimation in linear systems
Author(s) -
Gavalas George R.
Publication year - 1973
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690190203
Subject(s) - eigenvalues and eigenvectors , maxima and minima , observable , matrix (chemical analysis) , scalar (mathematics) , mathematics , function (biology) , linear system , constant (computer programming) , transfer function , mathematical analysis , computer science , physics , chemistry , geometry , engineering , chromatography , quantum mechanics , evolutionary biology , electrical engineering , biology , programming language
A time domain method is given for estimating the matrix of related parameters in linear systems with constant coefficients and real eigenvalues. The method consists of a one‐dimensional search for the local minima of a scalar function μ(λ), which provide the eigenvalues of the system matrix and the matrix itself when observable. Applications are given to the determination of a transfer function and the estimation of the rate matrix of a monomolecular reaction system. Questions of accuracy, number, and type of measurements required are discussed.