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Identification of Difference Equations by Observations of Solutions with Perturbations from a Linear Manifold. / Lomov, A. A.

In: Siberian Advances in Mathematics, Vol. 34, No. 3, 18.09.2024, p. 237-248.

Research output: Contribution to journal › Article › peer-review

Harvard

Lomov, AA 2024, 'Identification of Difference Equations by Observations of Solutions with Perturbations from a Linear Manifold', Siberian Advances in Mathematics, vol. 34, no. 3, pp. 237-248. https://doi.org/10.1134/S1055134424030064

APA

Lomov, A. A. (2024). Identification of Difference Equations by Observations of Solutions with Perturbations from a Linear Manifold. Siberian Advances in Mathematics, 34(3), 237-248. https://doi.org/10.1134/S1055134424030064

Vancouver

Lomov AA. Identification of Difference Equations by Observations of Solutions with Perturbations from a Linear Manifold. Siberian Advances in Mathematics. 2024 Sept 18;34(3):237-248. doi: 10.1134/S1055134424030064

Author

Lomov, A. A. / Identification of Difference Equations by Observations of Solutions with Perturbations from a Linear Manifold. In: Siberian Advances in Mathematics. 2024 ; Vol. 34, No. 3. pp. 237-248.

BibTeX

@article{3afa92611bd84f0c91db8851a2c7ec45,
title = "Identification of Difference Equations by Observations of Solutions with Perturbations from a Linear Manifold",
abstract = "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.",
keywords = "difference equations, identifiability conditions, identification of coefficients, perturbations from a linear manifold, variational Prony problem",
author = "Lomov, {A. A.}",
year = "2024",
month = sep,
day = "18",
doi = "10.1134/S1055134424030064",
language = "English",
volume = "34",
pages = "237--248",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "PLEIADES PUBLISHING INC",
number = "3",

}

RIS

TY - JOUR

T1 - Identification of Difference Equations by Observations of Solutions with Perturbations from a Linear Manifold

AU - Lomov, A. A.

PY - 2024/9/18

Y1 - 2024/9/18

N2 - 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.

AB - 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.

KW - difference equations

KW - identifiability conditions

KW - identification of coefficients

KW - perturbations from a linear manifold

KW - variational Prony problem

UR - https://www.mendeley.com/catalogue/7d35b93d-3fbf-3dd0-bcbf-08e1e6e43ce6/

U2 - 10.1134/S1055134424030064

DO - 10.1134/S1055134424030064

M3 - Article

VL - 34

SP - 237

EP - 248

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 3

ER -

ID: 60813764