Identification of Difference Equations by Observations of Solutions with Perturbations from a Linear Manifold

Identification of Difference Equations by Observations of Solutions with Perturbations from a Linear Manifold Full article

Journal

Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126

Output data

Year: 2024, Volume: 34, Number: 3, Pages: 237-248 Pages count : 12 DOI: 10.1134/s1055134424030064

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0008

We study the Prony identification problem for coefficients of an autonomous difference equation by observations of noisy solutions with unknown additive perturbations from an arbitrary linear manifold. We establish a “projectivity” property of the variational objective function. For two main types of equations, we obtain criteria and sufficient conditions for identifiability.

Lomov A.A.
Identification of Difference Equations by Observations of Solutions with Perturbations from a Linear Manifold
Siberian Advances in Mathematics. 2024. V.34. N3. P.237-248. DOI: 10.1134/s1055134424030064 Scopus РИНЦ OpenAlex

Ломов А.А.
К идентификации разностных уравнений по наблюдениям решений с возмущениями из заданного линейного многообразия
Математические труды. 2024. Т.27. №2. С.111–130. DOI: 10.25205/1560-750X-2024-27-2-111-130

Submitted:	May 27, 2024
Accepted:	Jun 13, 2024
Published print:	Sep 18, 2024
Published online:	Sep 18, 2024

Scopus:	2-s2.0-85204288435
Elibrary:	69201093
OpenAlex:	W4402631273

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