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Identification of Dynamic Objects using a Family of Experimental Supporting Integral Curves

  • Analysis and Synthesis of Signals and Images
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Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

A specially planned experiment based on obtaining a required family of estimates of supporting integral curves (approximately described in a given finite system of base functions) is used to solve a problem of active identification of a dynamic object, which corresponds to an a priori unknown differential equation. In view of the fact that experimental data may contain fluctuation and singular interference, a method is developed for optimal unbiased estimation of linear quantitative characteristics of the object behavior and an approximate analytical solution (differential equation), which is valid for a given set of permitted time values and an initial condition. The basic characteristics of the method are substantiated, and the results of the computational experiment are presented.

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Authors and Affiliations

  1. JSC All-Russian Scientific Institute “Gradient”, pr. Sokolova 96, Rostov-on-Don, 344000, Russia

    Yu. G. Bulychev

  2. JSC Scientific Production Association “Kvant”, Bolshaya Sankt-Peterbugskaya 73, Velikiy Novgorod, 173001, Russia

    A. G. Kondrashov

  3. JSC Kaluga Research Radio Engineering Institute, ul. Lenina 2, Zhukov, Kaluzhskaya oblast, 249192, Russia

    P. Yu. Radu

Authors
  1. Yu. G. Bulychev
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  2. A. G. Kondrashov
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  3. P. Yu. Radu
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Corresponding author

Correspondence to Yu. G. Bulychev.

Additional information

Russian Text © Yu.G. Bulychev, A.G. Kondrashov, P.Yu. Radu, 2019, published in Avtometriya, 2019, Vol. 55, No. 1, pp. 98–110.

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Bulychev, Y.G., Kondrashov, A.G. & Radu, P.Y. Identification of Dynamic Objects using a Family of Experimental Supporting Integral Curves. Optoelectron.Instrument.Proc. 55, 81–92 (2019). https://doi.org/10.3103/S8756699019010138

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  • DOI: https://doi.org/10.3103/S8756699019010138

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