Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 150, Pages 88–109 (Mi into331)  

This article is cited in 7 scientific papers (total in 7 papers)

Solution of the Problem of Diagnostics in the Cases of Trajectory Measurements with Errors and Exact Trajectory Measurements

M. V. Shamolin

Lomonosov Moscow State University, Institute of Mechanics
References:
Abstract: We consider the problem of differential diagnostics of the functional status of control objects that have a module structure and a finite set of possible malfunctions and reduce this problem to two separate problems that can be solved separately: the inspection problem (ascertainment of malfunction criteria in the system) and the diagnosis problem (search of malfunctions). We prove the feasibility of the solution of the problem of differential diagnostics in the case of exact trajectory measurements and trajectory measurements with errors on the level of mathematical models.
Keywords: diagnostics, controlled system, aircraft, basic malfunction, diagnosis space, inspection problem, diagnosis problem.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-00848-a
This work was partially supported by the Russian Foundation for Basic Research (project No. 15-01-00848-a).
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 250, Issue 6, Pages 942–963
DOI: https://doi.org/10.1007/s10958-020-05056-w
Bibliographic databases:
Document Type: Article
UDC: 519.234
MSC: 62G05, 68U01
Language: Russian
Citation: M. V. Shamolin, “Solution of the Problem of Diagnostics in the Cases of Trajectory Measurements with Errors and Exact Trajectory Measurements”, Geometry and Mechanics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 150, VINITI, Moscow, 2018, 88–109; J. Math. Sci. (N. Y.), 250:6 (2020), 942–963
Citation in format AMSBIB
\Bibitem{Sha18}
\by M.~V.~Shamolin
\paper Solution of the Problem of Diagnostics in the Cases of Trajectory Measurements with Errors and Exact Trajectory Measurements
\inbook Geometry and Mechanics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 150
\pages 88--109
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into331}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3847622}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2020
\vol 250
\issue 6
\pages 942--963
\crossref{https://doi.org/10.1007/s10958-020-05056-w}
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  • https://www.mathnet.ru/eng/into/v150/p88
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
     
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