Distributed source identification for wave equations: an observer-based approach

Details Distributed source identification for wave equations: an observer-based approach Distributed source identification for wave equations: an observer-based approach

2010-05-03

arxiv.org/abs/1005.0298v1

Mathematics

Optimization and Control

6 pages, 3 figures, MTNS 2010

Scientific paper

In this paper, we consider a wave equation on a bounded interval where the initial conditions are known (are zero) and we are rather interested in identifying an unknown source term $q(x)$ thanks to the measurement output $y$ which is the Neumann derivative on one of the boundaries. We use a back-and-forth iterative procedure and construct well-chosen observers which allow to retrieve $q$ from $y$ in the minimal observation time.

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