Abstract
Using the previously developed numerical-analytic method for describing input and output parameters of a the multidimensional dynamical object for the given domain of admissibility (Part I), the paper develops a method for optimal estimating the values of continuous linear functionals (numerical characteristics) of measurable parameters based on incorrect data that contains not only fluctuation error, but also singular interference (Part II). The method provides maximally maximal decomposition of computation, does not require performing standard linearization scheme and choosing initial condition, and also is not related with spectral coefficient calculation in finite linear combinations (with given basis functions) describing integral curves of the differential equation, measured parameters, and singular interference. Casual and method errors are analyzed, and an illustrative context and recommendations for a practical application of the results are provided.
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Translated by E. Oborin
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Bulychev, Y.G., Kondrashov, A.G., Radu, P.Y. et al. A Numerical-Analytic Method for Describing and Estimating Input and Output Parameters of a Multidimensional Dynamical Object: Part II. Optoelectron.Instrument.Proc. 56, 649–659 (2020). https://doi.org/10.3103/S8756699020060059
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DOI: https://doi.org/10.3103/S8756699020060059