Email this article On dynamic reconstruction of a disturbances in distributed parameter systems
- Authors: Blizorukova M.S.1, Maksimov V.I.1
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Affiliations:
- N. N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences
- Issue: Vol 30, No 150 (2025)
- Pages: 97-109
- Section: Original articles
- URL: https://journals.rcsi.science/2686-9667/article/view/298046
- ID: 298046
Cite item
Abstract
The problem of dynamic reconstruction of disturbances acting on a nonlinear system composed of two coupled parabolic-type equations is under consideration. Assuming that a solution of the system is measured (with errors) at discrete times, an algorithm for solving the problem is proposed. The algorithm, based on the principles of feedback control theory, is shown to be robust with respect to informational noises and computational inaccuracies. An estimate of the convergence rate of the algorithm is provided.
About the authors
Marina S. Blizorukova
N. N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences
Author for correspondence.
Email: msb@imm.uran.ru
ORCID iD: 0000-0002-1728-1270
Candidate of Physical and Mathematical Sciences, Senior Researcher
Russian Federation, 16 S. Kovalevskaya St., Yekaterinburg 620077, Russian FederationVyacheslav I. Maksimov
N. N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences
Email: maksimov@imm.uran.ru
ORCID iD: 0000-0001-5643-7998
Doctor of Physical and Mathematical Sciences, Head of Department
Russian Federation, 16 S. Kovalevskaya St., Yekaterinburg 620077, Russian FederationReferences
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