Email this article Joint Identifiability of Coefficients of Linear Difference Equations of Object and Additive Disturbances
- Authors: Lomov A.A.1,2
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Issue: Vol 221, No 6 (2017)
- Pages: 857-871
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239125
- DOI: https://doi.org/10.1007/s10958-017-3274-y
- ID: 239125
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Abstract
We study the problem of parametric identification of an object described by a system of linear difference equations by a set of observations of solutions provided that there are additive deterministic disturbances in the observations. The disturbances are also described by linear difference equations of a given order with uncertain initial conditions and coefficients. We obtain necessary and sufficient conditions for local co-identifiability of coefficients of the equations of object and disturbances.
About the authors
A. A. Lomov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Author for correspondence.
Email: lomov@math.nsc.ru
Russian Federation, 4, pr. Akad. Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090
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