Titelaufnahme

Titel
Compensator design for the monodomain equations
Verfasser/ VerfasserinBreiten, Tobias ; Kunisch, Karl In der Gemeinsamen Normdatei der DNB nachschlagen
Erschienen in
ESAIM: Control, Optimisation and Calculus of Variations, 2017, Jg. 23, H. 1, S. 241-262
ErschienenEDP Sciences, 2017
Ausgabe
Accepted version
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (DE)compensator design / LQG-balanced truncation / monodomain equations / FitzHugh-Nagumo model
ISSN1262-3377
URNurn:nbn:at:at-ubg:3-3439 Persistent Identifier (URN)
DOI10.1051/cocv/2015047 
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Compensator design for the monodomain equations [0.97 mb]
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Zusammenfassung (Englisch)

The problem of finite-dimensional compensator design for the monodomain equations is investigated. Exponential stabilizability and detectability of the linearized infinite-dimensional control system is studied. It is shown that the system is not exactly null-controllable but still can be exponentially stabilized by finite-rank input and output operators provided the desired stability margin is small enough. Based on existing results on model order reduction of infinite-dimensional systems, a finite-dimensional compensator is obtained by LQG-balanced truncation. The compensator is shown to be locally stabilizing for the infinite-dimensional nonlinear control system. Examples motivated by cardiophysiology are used to illustrate these results in a numerical setup.

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