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

• Autorzy: Maksimov Vyacheslav , Trlötzsch Fredi

Identyfikatory

DOI

10.34768/amcs-2020-0001

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

semilinear parabolic equation; input reconstruction; feedback control

PL

równanie paraboliczne; równanie semiliniowe; sprzężenie zwrotne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2020
• Tom: Vol. 30, no. 1
• Strony: 5--22
• Opis fizyczny: Bibliogr. 25 poz., rys., wykr.

Twórcy

autor

Maksimov Vyacheslav

• Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya St., Yekaterinburg, 620990 Russia; Graduate School of Economics and Management, Ural Federal University, 19 Mira St., Yekaterinburg, 620002 Russia

autor

Trlötzsch Fredi

• Institute of Mathematical Sciences, Technical University of Berlin, Str. des 17. Juni 136, D-10623, Berlin, Germany

Bibliografia

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• [4] Breiten, T. and Kunisch, K. (2014). Riccati-based feedback control of the monodomain equations with the FitzHugh–Nagumo model, SIAM Journal of Control and Optimization 52(6): 4057–4081.
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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).