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.
Presented by the member of Editorial Board:V. I. Gurman
Citation:
V. R. Barsegyan, “The problem for optimal restoration of the state of the system described by an integro-differential equation in the presence of errors in measurements”, Avtomat. i Telemekh., 2012, no. 8, 111–118; Autom. Remote Control, 73:8 (2012), 1365–1370
\Bibitem{Bar12}
\by V.~R.~Barsegyan
\paper The problem for optimal restoration of the state of the system described by an integro-differential equation in the presence of errors in measurements
\jour Avtomat. i Telemekh.
\yr 2012
\issue 8
\pages 111--118
\mathnet{http://mi.mathnet.ru/at4054}
\transl
\jour Autom. Remote Control
\yr 2012
\vol 73
\issue 8
\pages 1365--1370
\crossref{https://doi.org/10.1134/S0005117912080097}
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Linking options:
https://www.mathnet.ru/eng/at4054
https://www.mathnet.ru/eng/at/y2012/i8/p111
This publication is cited in the following 1 articles:
V. R. Barseghyan, “Optimal observation of controlled elastic vibrations of a beam in the presence of measurement errors”, Comput. Math. Math. Phys., 54:10 (2014), 1505–1512