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The problem for optimal restoration of the state of the system described by an integro-differential equation in the presence of errors in measurements

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An Errata to this article was published on 23 July 2013

Abstract

The problem of developing an optimal operation is investigated for restoration of the state of the system described by an integro-differential equation in the presence of errors in measurements. By the method of separation of variables the solution of the problem is brought to the solution of the problem of observation with a real signal of the infinite system of ordinary differential equations. For each harmonic, amplifying a signal coming from the system, a universal optimal operation is developed, which provides a way of restoring the deviation from the equilibrium position and the speed of all points of the system.

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Authors and Affiliations

  1. Erevan State University, Erevan, Armenia

    V. R. Barsegyan

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  1. V. R. Barsegyan
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Original Russian Text © V.R. Barsegyan, 2012, published in Avtomatika i Telemekhanika, 2012, No. 8, pp. 111–118.

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Barsegyan, V.R. The problem for optimal restoration of the state of the system described by an integro-differential equation in the presence of errors in measurements. Autom Remote Control 73, 1365–1370 (2012). https://doi.org/10.1134/S0005117912080097

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  • DOI: https://doi.org/10.1134/S0005117912080097

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