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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

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

This article is cited 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

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.

UDC: 519.234

MSC: 62G05, 68U01


 English version:
Journal of Mathematical Sciences (New York), 2020, 250:6, 942–963

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© Steklov Math. Inst. of RAS, 2025