Geodesic
Problems of differential and topological diagnostics. Part 5. The case of trajectorial measurements with error
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 26 (2020) no. 3, pp. 30-39

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Proposed work is the fifth work of the cycle on differential and topological diagnostics. The article gives an estimate of the errors method of direction fields in the case of not accurate trajectory measurements, but trajectory measurements with an error are limited by the modulus of a given a smooth function of time, and in case this error is a random variable distributed according to the normal law with fixed parameters. We show that in these more complex cases, you can specify the “best” number of required trajectory measurements, in which the proposed algorithms of diagnostics will work constructively, and the malfunction will be determined unambiguously.
Keywords: diagnostic problem, diagnostic algorithms, trajectory measurements with error. 
@article{VSGU_2020_26_3_a2,
     author = {M. V. Shamolin},
     title = {Problems of differential and topological diagnostics. {Part} 5. {The} case of trajectorial measurements with error},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {30--39},
     publisher = {mathdoc},
     volume = {26},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2020_26_3_a2/}
}
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M. V. Shamolin. Problems of differential and topological diagnostics. Part 5. The case of trajectorial measurements with error. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 26 (2020) no. 3, pp. 30-39. http://geodesic.mathdoc.fr/item/VSGU_2020_26_3_a2/