Geodesic
On the identification of difference equations by observations of solutions with perturbations from a given linear manifold
Matematičeskie trudy, Tome 27 (2024) no. 2, pp. 111-130 
A. A. Lomov. On the identification of difference equations by observations of solutions with perturbations from a given linear manifold. Matematičeskie trudy, Tome 27 (2024) no. 2, pp. 111-130. http://geodesic.mathdoc.fr/item/MT_2024_27_2_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We study the Prony identification problem of coefficients of a linear difference equation from noisy solutions observations with unknown additive perturbations from an arbitrary given linear manifold. The property of “projectivity” of the variational objective function is proved. Criteria and the sufficient conditions of identifiability are obtained for two main types of equations.

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