The wave equation with oscillating density : observability at low frequency
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Gilles Lebeau (2000)
ESAIM: Control, Optimisation and Calculus of Variations
Gilles Lebeau (1998/1999)
Séminaire Équations aux dérivées partielles
Gilles Lebeau (2010)
ESAIM: Control, Optimisation and Calculus of Variations
We prove an observability estimate for a wave equation with rapidly oscillating density, in a bounded domain with Dirichlet boundary condition.
Janusz Jakubiak, Erjen Lefeber, Krzysztof Tchoń, Henk Nijmeijer (2002)
International Journal of Applied Mathematics and Computer Science
A trajectory tracking problem for the three-dimensional kinematic model of a unicycle-type mobile robot is considered. It is assumed that only two of the tracking error coordinates are measurable. By means of cascaded systems theory we develop observers for each of the error coordinates and show the K-exponential convergence of the tracking error in combined closed-loop observer-controller systems. The results are illustrated with computer simulations.
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