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ALOP Colloquium with Martin Gugat, FAU Erlangen
28. January 2019 / 16:00 - 18:00
On Monday, January 28, 2019 at 16:00 c.t. Prof. Dr. Martin Gugat of FAU Erlangen will present his recent work entitled
On the limits of boundary stabilizability for networks of strings.
Abstract:
An example by Bastin and Coron illustrates that theboundary stabilization of 1-d hyperbolic systemswith certain source terms is only possible if the lengthof the space interval is sufficiently small. We show that simlar phenomena also occur fornetworks of vibrating strings that are governedby the wave equation with a certain source term.It turns out that for a tree of strings withNeumann velocity feedback control at some boundary nodesfor sufficiently large lengths of the strings,boundary feedback stabilization is not possible.However, if the number of strings in the tree is sufficiently large, also for arbitrarily short strings for certainparameters in the source term stabilization is not possible.
The presentation will take place in HS 9.
Please join us for coffee at 15:45 in E10.