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Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 150, Pages 88–109 (Mi into331)  

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

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).


Full text: PDF file (293 kB)

Bibliographic databases:

Document Type: Article
UDC: 519.234
MSC: 62G05, 68U01

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. Ser. Sovrem. Mat. Pril. Temat. Obz., 150, VINITI, Moscow, 2018, 88–109

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. Ser. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 150
\pages 88--109
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into331}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3847622}


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