Operator-Orthoregressive Method for Identifying Coefficients of Linear Differential Equations

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Abstract

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.

Original languageEnglish
Pages (from-to)391-406
Number of pages16
JournalJournal of Mathematical Sciences (United States)
Volume253
Issue number3
DOIs
Publication statusPublished - Mar 2021

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