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Stable Solutions of the Dynamical Reconstruction Problem

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We consider the problem of dynamical reconstruction of input disturbances in a system of differential equations subject to the influence of an unknown disturbance. We present two algorithms for solving the problem that are robust to information noises and computational errors and are oriented to computer implementation. The algorithms operate under measurements (with errors) of phase states of the system at discrete times.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics UB RAS, 16, S. Kovalevskaya St., Ekaterinburg, 620990, Russia

    E. T. Larin & V. I. Maksimov

Authors
  1. E. T. Larin
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  2. V. I. Maksimov
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Correspondence to V. I. Maksimov.

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Translated from Problemy Matematicheskogo Analiza 122, 2023, pp. 69-78.

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Larin, E.T., Maksimov, V.I. Stable Solutions of the Dynamical Reconstruction Problem. J Math Sci 270, 579–590 (2023). https://doi.org/10.1007/s10958-023-06369-2

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