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

  • Yu. G. BulychevEmail author
  • A. G. Kondrashov
  • P. Yu. Radu
Analysis and Synthesis of Signals and Images


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.


dynamic object active identification singular interference supporting integral curves Lagrange multiplier method quantitative characters of the dynamic object behavior 


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© Allerton Press, Inc. 2019

Authors and Affiliations

  • Yu. G. Bulychev
    • 1
    Email author
  • A. G. Kondrashov
    • 2
  • P. Yu. Radu
    • 3
  1. 1.JSC All-Russian Scientific Institute “Gradient”Rostov-on-DonRussia
  2. 2.JSC Scientific Production Association “Kvant”Velikiy NovgorodRussia
  3. 3.JSC Kaluga Research Radio Engineering InstituteZhukov, Kaluzhskaya oblastRussia

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