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Vestnik SamU. Estestvenno-Nauchnaya Ser., 2019, Volume 25, Issue 3, Pages 22–32 (Mi vsgu609)  

This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Problems of differential and topological diagnostics. Part II. Problem of differential diagnostics

M. V. Shamolin

Institute of Mechanics, Lomonosov Moscow State University, 1, Leninskie Gory, Moscow, 119192, Russian Federation

Abstract: Proposed work is the second in the cycle, therefore, we present the classification of malfunctions and introduce the concept of reference malfunctions that can occur in the control system of the object and in the neighborhoods of these malfunctions. The simplest possible approaches to mathematical modeling of malfunctions and their neighborhoods are formulated, and the problem of nondegeneracy of reference malfunctions is discussed in detail. The concept of diagnostic space is introduced, and its mathematical structure is defined. We also prepare the material for the consideration of the problem of differential diagnostics.

Keywords: classification of malfunctions, neighborhoods of these malfunctions, diagnostic space, problem of differential diagnostics.

DOI: https://doi.org/10.18287/2541-7525-2019-25-3-22-32

Full text: PDF file (220 kB)
Full text: https:/.../7652 (published under the terms of the Creative Commons Attribution 4.0 International License)
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UDC: 517+531.01
Received: 03.07.2019
Accepted:16.08.2019

Citation: M. V. Shamolin, “Problems of differential and topological diagnostics. Part II. Problem of differential diagnostics”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:3 (2019), 22–32

Citation in format AMSBIB
\Bibitem{Sha19}
\by M.~V.~Shamolin
\paper Problems of differential and topological diagnostics. Part~II. Problem of differential diagnostics
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2019
\vol 25
\issue 3
\pages 22--32
\mathnet{http://mi.mathnet.ru/vsgu609}
\crossref{https://doi.org/10.18287/2541-7525-2019-25-3-22-32}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
    Cycle of papers

    This publication is cited in the following articles:
    1. M. V. Shamolin, “Zadachi differentsialnoi i topologicheskoi diagnostiki. Chast 3. Zadacha kontrolya”, Vestn. SamU. Estestvennonauchn. ser., 25:4 (2019), 36–47  mathnet  crossref
    2. M. V. Shamolin, “Zadachi differentsialnoi i topologicheskoi diagnostiki. Chast 4. Zadacha diagnostirovaniya (sluchai tochnykh traektornykh izmerenii)”, Vestn. SamU. Estestvennonauchn. ser., 26:1 (2020), 52–68  mathnet  crossref
  • Вестник Самарского государственного университета. Естественнонаучная серия
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