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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2020, Volume 13, Issue 4, Pages 81–93 (Mi vyuru573)  

Programming & Computer Software

The Pyt'ev–Chulichkov method for constructing a measurement in the Shestakov–Sviridyuk model

M. A. Sagadeeva, E. V. Bychkov, O. N. Tsyplenkova

South Ural State University, Chelyabinsk, Russian Federation

Abstract: One of the approaches to solution of the problem on restoring a distorted input signal by the recorded output data of the sensor is the problem on optimal dynamic measurement, i.e. the Shestakov–Sviridyuk model. This model is the basis of the theory of optimal dynamic measurements and consists of the problem on minimizing the difference between the values of a virtual observation obtained using a computational model and experimental data, which are usually distorted by some noise. We consider the Shestakov–Sviridyuk model of optimal dynamic measurement in the presence of various types of noises. In the article, the main attention is paid to the preliminary stage of the study of the problem on optimal dynamic measurement. Namely, we consider the Pyt'ev–Chulichkov method of constructing observation data, i.e. transformation of the experimental data to make them free from noise in the form of “white noise” understood as the Nelson–Gliklikh derivative of the multidimensional Wiener process. In order to use this method, a priori information about the properties of the functions describing the observation is used.

Keywords: optimal dynamic measurement, Leontief type system, multidimensional Wiener process, Nelson–Gliklikh derivative, algorithm to solve the problem.

Funding Agency Grant Number
Ministry of Science and Higher Education of the Russian Federation FENU-2020-0022 (2020072รว)
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (grant no. FENU-2020-0022 (2020072รว)).


DOI: https://doi.org/10.14529/mmp200407

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UDC: 517.9
MSC: 49J15, 62M86, 60H40
Received: 27.08.2020
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Citation: M. A. Sagadeeva, E. V. Bychkov, O. N. Tsyplenkova, “The Pyt'ev–Chulichkov method for constructing a measurement in the Shestakov–Sviridyuk model”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:4 (2020), 81–93

Citation in format AMSBIB
\Bibitem{SagBycTsy20}
\by M.~A.~Sagadeeva, E.~V.~Bychkov, O.~N.~Tsyplenkova
\paper The Pyt'ev--Chulichkov method for constructing a measurement in the Shestakov--Sviridyuk model
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2020
\vol 13
\issue 4
\pages 81--93
\mathnet{http://mi.mathnet.ru/vyuru573}
\crossref{https://doi.org/10.14529/mmp200407}


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