International Journal of applied mathematics and computer science

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Paper details

Number 1 - March 2020
Volume 30 - 2020

Input reconstruction by feedback control for the Schlögl and FitzHugh–Nagumo equations

Vyacheslav Maksimov, Fredi Trlötzsch

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.

semilinear parabolic equation, input reconstruction