Operator-Orthoregressive Method for Identifying Coefficients of Linear Differential Equations

Operator-Orthoregressive Method for Identifying Coefficients of Linear Differential Equations Full article

Journal

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795

Output data

Year: 2021, Volume: 253, Number: 3, Pages: 391-406 Pages count : 16 DOI: 10.1007/s10958-021-05237-1

Authors

Lomov A.A. ^1,2

Affiliations

1	Sobolev Institute of Mathematics SB RAS, 4, Akad. Koptyuga pr, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, 1, Pirogova St, Novosibirsk, 630090, Russian Federation

We propose an approach to identify coefficients of linear differential equations from observations of solutions with additive perturbations, based on the algebraic Fliess–Sira-Ramirez method combined with the orthogonal regression method in the space of observed functions that are transformed by convolution type integral operators. We establish the consistency of the operator-orthoregressive method and numerically analyze asymptotical properties and computational complexity of the proposed method in comparison with the asymptotically optimal variational method of identification. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

Lomov A.A.
Operator-Orthoregressive Method for Identifying Coefficients of Linear Differential Equations
Journal of Mathematical Sciences (United States). 2021. V.253. N3. P.391-406. DOI: 10.1007/s10958-021-05237-1 Scopus OpenAlex

Ломов А.А.
Операторно-орторегрессионный метод идентификации коэффициентов линейных дифференциальных уравнений
Сибирский журнал чистой и прикладной математики. 2018. Т.18. №1. С.73-90. DOI: 10.17377/PAM.2018.18.7

Scopus:	2-s2.0-85100636759
OpenAlex:	W3128135674

DB	Citing
Scopus	1