This article is cited in 4 papers

On a problem of dynamic reconstruction under incomplete information

V. L. Rozenberg<sup>ab

a</sup> Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
^b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg

Abstract: The problem of reconstructing an unknown external influence in a system of linear ordinary differential equations is investigated on the basis of the approach of the theory of dynamic inversion. A statement is considered in which the disturbance is reconstructed synchronously with the process from incomplete discrete information on a part of coordinates of the phase trajectory. A finite-step software-oriented solution algorithm based on the method of auxiliary closed-loop models is proposed, and its error is estimated. The novelty of the paper is that we consider the inverse problem for a dynamic system in which the disturbance to be reconstructed is subject to geometric constraints and is not included in the measured component.

Keywords: system of ordinary differential equations, incomplete information, dynamic reconstruction, controlled model.

UDC: 517.977

MSC: 49K15, 93C41

Received: 16.01.2019
Revised: 05.02.2019
Accepted: 11.02.2019

DOI: 10.21538/0134-4889-2019-25-1-207-218

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