<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Input Reconstruction by Feedback Control for the Schlögl and FitzHugh–Nagumo Equations

International Journal of Applied Mathematics and Computer Science

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...

Input Reconstruction by Feedback Control for the Schlögl and FitzHugh–Nagumo Equations

Published Online: Apr 03, 2020

Page range: 5 - 22

Received: May 24, 2019

Accepted: Nov 30, 2019

DOI: https://doi.org/10.34768/amcs-2020-0001

Keywords
semilinear parabolic equation, input reconstruction

© 2020 Vyacheslav Maksimov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Input Reconstruction by Feedback Control for the Schlögl and FitzHugh–Nagumo Equations

Published Online: Apr 03, 2020

Page range: 5 - 22

Received: May 24, 2019

Accepted: Nov 30, 2019

DOI: https://doi.org/10.34768/amcs-2020-0001

Keywordssemilinear parabolic equation, input reconstruction

© 2020 Vyacheslav Maksimov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
semilinear parabolic equation, input reconstruction