Titelaufnahme

Titel
Ricatti-based feedback control of the monodomain equations with the Fitzhugh-Nagumo model.
Verfasser/ VerfasserinBreiten, Tobias ; Kunisch, Karl
Erschienen in
SIAM Journal on Control and Optimization, 2014, Jg. 52, H. 6, S. 4057-4081
ErschienenSociety for Industrial and Applied Mathematics, 2014
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)feedback control / Riccati equation / monodomain equations / FitzHugh-Nagumo model
ISSN0363-0129
URNurn:nbn:at:at-ubg:3-3442 Persistent Identifier (URN)
DOI10.1137/140964552 
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Ricatti-based feedback control of the monodomain equations with the Fitzhugh-Nagumo model. [1.47 mb]
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Zusammenfassung (Englisch)

Feedback control for the monodomain equations is studied. The dynamics of interest are governed by a coupled PDE-ODE reaction diffusion system with nonmonotone nonlinearity of FitzHugh--Nagumo type. A localized distributed control is used to locally stabilize the nonlinear system. This is achieved by a Riccati-based feedback law, determined by the linearized system. It is shown that the Riccati equation corresponding to the PDE variable suffices for exponential stabilization of the linearized PDE-ODE system. The theoretical findings are underlined by several numerical examples.

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