Input Reconstruction by Feedback Control for the Schlögl and FitzHugh–Nagumo Equations
e | 03 apr 2020
INFORMAZIONI SU QUESTO ARTICOLO
Pubblicato online: 03 apr 2020
Pagine: 5 - 22
Ricevuto: 24 mag 2019
Accettato: 30 nov 2019
DOI: https://doi.org/10.34768/amcs-2020-0001
Parole chiave
© 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.