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Problem on the Optimal Estimation of the Initial State of a Linear Singularly Perturbed System

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Abstract

A method for solving the problem of a posteriori estimation of the initial state of a linear singularly perturbed dynamical system is proposed.

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REFERENCES

  1. Gabasov, R., Kirillova, F.M., and Kostyukova, O.I., Construction of optimal estimators for linear dynamical systems, Vestn. Belorus. Univ. Ser. 1 , 1992, no. 2, pp. 45–49.

  2. Rakitskii, Yu.V., Ustinov, S.M., and Chernorutskii, I.G., Chislennye metody resheniya zhestkikh sistem (Numerical Methods for Solving Stiff Systems), Moscow: Nauka, 1979.

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  4. Krakhotko, V.V. and Razmyslovich, G.P., Constructing an asymptotic solution of optimal observation problem for a quasilinear differential-algebraic system, Differ. Equations, 2017, vol. 53, no. 2, pp. 263–268.

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Authors and Affiliations

  1. Belarusian State University, Minsk, 220030, Belarus

    V. V. Krakhotko & G. P. Razmyslovich

Authors
  1. V. V. Krakhotko
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  2. G. P. Razmyslovich
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Correspondence to V. V. Krakhotko or G. P. Razmyslovich.

Additional information

Translated by V. Potapchouck

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Krakhotko, V.V., Razmyslovich, G.P. Problem on the Optimal Estimation of the Initial State of a Linear Singularly Perturbed System. Diff Equat 58, 1287–1289 (2022). https://doi.org/10.1134/S0012266122090130

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  • DOI: https://doi.org/10.1134/S0012266122090130

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