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Exact Reconstruction of the Solution for Linear Neutral Type Systems

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Abstract

For linear neutral type systems, we construct a finite time observer in the form of the output of a delayed type system with commensurable concentrated delays and finite spectrum. The observer permits one to obtain an exact estimate of the solution of the original system in finite time. The results are illustrated by an example.

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Authors and Affiliations

  1. Belarusian National Technical University, Minsk, 220013, Belarus

    A. V. Metel’skii

  2. Yanka Kupala State University of Grodno, Grodno, 230023, Belarus

    V. E. Khartovskii

Authors
  1. A. V. Metel’skii
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  2. V. E. Khartovskii
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Corresponding authors

Correspondence to A. V. Metel’skii or V. E. Khartovskii.

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Translated by V. Potapchouck

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Metel’skii, A.V., Khartovskii, V.E. Exact Reconstruction of the Solution for Linear Neutral Type Systems. Diff Equat 57, 251–271 (2021). https://doi.org/10.1134/S0012266121020130

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  • DOI: https://doi.org/10.1134/S0012266121020130

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