Geodesic
One of the statistical solutions of the problem of differential diagnostics
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 208 (2022), pp. 122-127

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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. 
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     title = {One of the statistical solutions of the problem of differential diagnostics},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {122--127},
     publisher = {mathdoc},
     volume = {208},
     year = {2022},
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M. V. Shamolin. One of the statistical solutions of the problem of differential diagnostics. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 208 (2022), pp. 122-127. http://geodesic.mathdoc.fr/item/INTO_2022_208_a10/