Geodesic
Orthoregressional-algebraic parameter identification method for linear differential equations
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 18 (2018) no. 1, pp. 73-90

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A combined orthoregressional-algebraic approach to the parameter identification of linear differential equations from solution measurements with additive noise is proposed. It is based on the algebraic Fliess–Sira-Ramirez method in conjunction with the orthogonal regression (TLS) method in the space of measurements transformed by the integral operators of convolution type. The consistency of the orthoregressional-algebraic method is established and a numerical comparison with the asymptotically optimal variational identification method is performed.
Keywords: linear differential equations, parameter identification, algebraic method, variational identification method, total least squares, orthoregressional-algebraic method, consistency.
Mots-clés : orthogonal regression 
@article{VNGU_2018_18_1_a6,
     author = {A. A. Lomov},
     title = {Orthoregressional-algebraic parameter identification method for linear differential equations},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {73--90},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2018_18_1_a6/}
}
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A. A. Lomov. Orthoregressional-algebraic parameter identification method for linear differential equations. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 18 (2018) no. 1, pp. 73-90. http://geodesic.mathdoc.fr/item/VNGU_2018_18_1_a6/