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An algorithm for dynamic reconstruction of a disturbance in a linear system

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Abstract

We study the problem of dynamic reconstruction of an unknown disturbance in a linear system whose states are measured with some error. We propose a solution algorithmfor this problem under the assumption that the observed time interval is sufficiently large. The algorithm is based on the method of auxiliary positional control models.

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References

  1. Osipov, Yu. S., Kryazhimskii, A. V. Inverse Problems for Ordinary Differential Equations: Dynamical Solutions (Gordon and Breach, Basel, 1995).

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  2. Osipov, Yu.S., Kryazhimskii, A.V., Maksimov, V. I. Methods of Dynamic Restoration of Inputs of Control Systems (UrO RAN, Ekaterinburg, 2011) [in Russian].

    MATH  Google Scholar 

  3. Kryazhimskii, A. V., Maksimov, V. I. “On Rough Inversion of a Dynamical System with a Disturbance”, J. Inv. Ill-Posed Problems 16, 1–14 (2008).

    Article  MathSciNet  Google Scholar 

  4. Blizorukova, M. S., Maksimov, V. I. “On an Algorithm for Dynamic Restoration of the Inputs”, Differ. Equ. 49, No. 1, 88–100 (2013).

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi str. 16, Ekaterinburg, 620990, Russia

    M. S. Blizorukova

Authors
  1. M. S. Blizorukova
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Correspondence to M. S. Blizorukova.

Additional information

Original Russian Text © M.S. Blizorukova, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 7, pp. 18–22.

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Blizorukova, M.S. An algorithm for dynamic reconstruction of a disturbance in a linear system. Russ Math. 60, 14–18 (2016). https://doi.org/10.3103/S1066369X16070033

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  • DOI: https://doi.org/10.3103/S1066369X16070033

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