Feedback stabilization for a coupled PDE-ODE production system

Baumgärtner, Vanessa ; Göttlich, Simone ; Knapp, Stephan

Document Type: Working paper
Year of publication: 2019
Place of publication: Mannheim
Publication language: English
Institution: School of Business Informatics and Mathematics > Scientific Computing (Göttlich 2011-)
Subject: 510 Mathematics
Abstract: We consider an interlinked production model consisting of conservation laws (PDE) coupled to ordinary differential equations (ODE). Our focus is the analysis of control laws for the coupled system and corresponding stabilization questions of equilibrium dynamics in the presence of disturbances. These investigations are carried out using an appropriate Lyapunov function on the theoretical and numerical level. The discrete L2−stabilization technique allows to derive a mixed feedback law that is able to ensure exponential stability also in bottleneck situations. All results are accompanied by computational examples.

Dieser Eintrag ist Teil der Universitätsbibliographie.

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