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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2012, Issue 13, Pages 58–68 (Mi vyuru68)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modelling

The Problem of Optimal Measurement of Considering Resonances: the Program Algorithm and Computer Experiment

A. V. Keller, E. V. Zaharova

South Ural State University (Chelyabinsk, Russian Federation)
Full-text PDF (325 kB) Citations (1)
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Abstract: This article describes a program that implements the algorithm of the numerical method for solving the problem of optimal measurement taking into account resonances — the problem of recovering dynamically distorted signal, taking into account the inertia of the measuring device and its mechanical resonances to be solved by using methods of optimal control theory. The basic idea behind the algorithm is to represent the numerical solution of the component measuring trigonometric polynomials, which reduces the problem of optimal control to the problem of convex programming in the unknown coefficients of polynomials. Using standard methods, such as gradient, in solving a convex programming problem, the complexity of the functional quality, leading to unsatisfactory results. It is therefore proposed a different, simpler method, which, together with the more laborious. This paper presents a number of solutions to improve computing speed, a block diagram of the basic procedure of a program written in C++, and the results of computer simulation models for a specific sensor.
Keywords: the problem of optimal measurement, optimal control, Leontief type systems, numerical solution, the program algorithm.
Received: 18.06.2012
Document Type: Article
UDC: 517.9
MSC: 49J15
Language: Russian
Citation: A. V. Keller, E. V. Zaharova, “The Problem of Optimal Measurement of Considering Resonances: the Program Algorithm and Computer Experiment”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 13, 58–68
Citation in format AMSBIB
\Bibitem{KelZak12}
\by A.~V.~Keller, E.~V.~Zaharova
\paper The Problem of Optimal Measurement of Considering Resonances: the~Program Algorithm and Computer Experiment
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2012
\issue 13
\pages 58--68
\mathnet{http://mi.mathnet.ru/vyuru68}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:205
    Full-text PDF :65
    References:57
     
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