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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., 2022 Volume 208, Pages 122–127 (Mi into998)

One of the statistical solutions of the problem of differential diagnostics

M. V. Shamolin

Lomonosov Moscow State University

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.

UDC: 517.9; 531.01

MSC: 34Cxx, 70Cxx

DOI: 10.36535/0233-6723-2022-208-122-127



© Steklov Math. Inst. of RAS, 2025