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 -