On the possibility of obtaining the optimal order of accuracy when restoring the impact by the dynamic method [О возможности получения оптимального порядка точности при восстановлении воздействия динамическим методом]

Abstract

Yu. S. Osipov and A. V. Kryazhimsky proposed a method of dynamic regulation to restore an unknown effect in a controlled model. In the framework of this approach, in the present work we study the property of another method based on the use of the implicit Euler method for the problem of numerical differentiation. The choice of the parameters of the method is indicated, which makes it possible to increase its efficiency, reduce the noise level of the approximate solution, and obtain the optimal order of accuracy in the metric L(T), equal to 1/2. © 2020 Tambov State University. All rights reserved.