Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik YuUrGU. Ser. Mat. Model. Progr.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2020, Volume 13, Issue 4, Pages 81–93
DOI: https://doi.org/10.14529/mmp200407
(Mi vyuru573)
 

This article is cited in 3 scientific papers (total in 3 papers)

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
Full-text PDF (371 kB) Citations (3)
References:
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 (2020072ГЗ)
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (grant no. FENU-2020-0022 (2020072ГЗ)).
Received: 27.08.2020
Document Type: Article
UDC: 517.9
MSC: 49J15, 62M86, 60H40
Language: English
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}
Linking options:
  • https://www.mathnet.ru/eng/vyuru573
  • https://www.mathnet.ru/eng/vyuru/v13/i4/p81
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:100
    Full-text PDF :43
    References:18
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024