Input Reconstruction by Feedback Control for the Schlögl and FitzHugh–Nagumo Equations
und | 03. Apr. 2020
Über diesen Artikel
Online veröffentlicht: 03. Apr. 2020
Seitenbereich: 5 - 22
Eingereicht: 24. Mai 2019
Akzeptiert: 30. Nov. 2019
DOI: https://doi.org/10.34768/amcs-2020-0001
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© 2020 Vyacheslav Maksimov et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
Dynamical reconstruction of unknown time-varying controls from inexact measurements of the state function is investigated for a semilinear parabolic equation with memory. This system includes as particular cases the Schlögl model and the FitzHugh–Nagumo equations. A numerical method is suggested that is based on techniques of feedback control. An error analysis is performed. Numerical examples confirm the theoretical predictions.