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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 6, Pages 938–948 (Mi zvmmf11567)

This article is cited in 3 papers

Optimal control

On the reconstruction of an input disturbance in a reaction–diffusion system

V. I. Maksimov

Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, 620990, Yekaterinburg, Russia

Abstract: The problem of dynamic reconstruction of an unknown boundary input disturbance for a nonlinear system of reaction–diffusion differential equations with distributed parameters is considered. A solution algorithm based on constructions of feedback control theory is presented.

Key words: reconstruction, reaction–diffusion system.

UDC: 517.977

Received: 02.11.2022
Revised: 02.11.2022
Accepted: 02.03.2023

DOI: 10.31857/S0044466923060169


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:6, 990–1000

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© Steklov Math. Inst. of RAS, 2026