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.
Citation:
V. L. Rozenberg, “On a problem of dynamic reconstruction under incomplete information”, Trudy Inst. Mat. i Mekh. UrO RAN, 25, no. 1, 2019, 207–218
\Bibitem{Roz19}
\by V.~L.~Rozenberg
\paper On a problem of dynamic reconstruction under incomplete information
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2019
\vol 25
\issue 1
\pages 207--218
\mathnet{http://mi.mathnet.ru/timm1611}
\crossref{https://doi.org/10.21538/0134-4889-2019-25-1-207-218}
\elib{https://elibrary.ru/item.asp?id=37051105}
Linking options:
https://www.mathnet.ru/eng/timm1611
https://www.mathnet.ru/eng/timm/v25/i1/p207
This publication is cited in the following 4 articles:
V. L. Rozenberg, “Dinamicheskaya identifikatsiya neizvestnogo vkhoda sistemy gibridnogo tipa”, Tr. IMM UrO RAN, 30, no. 2, 2024, 164–172
V. I. Maksimov, “The methods of dynamical reconstruction of an input in a system of ordinary differential equations”, J. Inverse Ill-Posed Probl., 29:1 (2021), 125–156
P. G. Surkov, “Real-time reconstruction of external impact on fractional order system under measuring a part of coordinates”, J. Comput. Appl. Math., 381 (2021), 113039
V. Rozenberg, “On a problem of dynamical input reconstruction for a system of special type under conditions of uncertainty”, AIMS Math., 5:5 (2020), 4108–4120
Citation in format AMSBIB
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