TY - JOUR

T1 - Operator-Orthoregressive Method for Identifying Coefficients of Linear Differential Equations

AU - Lomov, A. A.

N1 - Publisher Copyright: © 2021, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/3

Y1 - 2021/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85100636759&partnerID=8YFLogxK

U2 - 10.1007/s10958-021-05237-1

DO - 10.1007/s10958-021-05237-1

M3 - Article

AN - SCOPUS:85100636759

VL - 253

SP - 391

EP - 406

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 3

ER -