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, 2022, Volume 208, Pages 122–127
DOI: https://doi.org/10.36535/0233-6723-2022-208-122-127 (Mi into998) 		 
One of the statistical solutions of the problem of differential diagnostics

M. V. Shamolin

Lomonosov Moscow State University
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DOI: https://doi.org/10.36535/0233-6723-2022-208-122-127
Abstract: In this paper, we show that in the case of trajectory measurements with noise, which is a normal white-noise random process with zero mean value and a limited spectrum, diagnostics is feasible using the diagnostic algorithms developed in the author's previous works. The diagnostic functional was obtained, which was introduced a priori in the previous works of the author.
Keywords: diagnostic problem, diagnostic algorithms, statistical solution.
Document Type: Article
UDC: 517.9; 531.01
MSC: 34Cxx, 70Cxx
Language: Russian
Citation: M. V. Shamolin, “One of the statistical solutions of the problem of differential diagnostics”, Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 208, VINITI, Moscow, 2022, 122–127
Citation in format AMSBIB
\Bibitem{Sha22}
\by M.~V.~Shamolin
\paper One of the statistical solutions of the problem of differential diagnostics
\inbook Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 208
\pages 122--127
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into998}
\crossref{https://doi.org/10.36535/0233-6723-2022-208-122-127}
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