Contributions to Books:
B. Schörkhuber, T. Meurer, A. Jüngel:
"Flatness-based trajectory planning for semilinear parabolic PDEs";
in: "ASC Report 11/2012",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Trajectory planning is considered for semilinear parabolic partial differential equations (PDEs) with boundary control. For this, a novel flatness-based technique is proposed, which is based on the reformulation of the boundary control problem as a Cauchy-Kowalevskaja Theorem in suitable Gevrey classes and formal integration. This moreover enables to deduce efficient seminumerical design techniques, which are aillustrated in a simulation scenario.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.