Null controllability and stabilization of the linear Kuramoto-Sivashinsky equation
By Eduardo Cerpa. 2009
83 citations recorded by the source corpus.
In this article, we study the boundary controllability of the linear Kuramoto-Sivashinsky equation on a bounded interval. The control acts on the first spatial derivative at the left endpoint. First, we prove that this control system is null controllable. It is done using a spectral analysis and the method of moments. Then, we introduce a boundary feedback law stabilizing to zero the solution of the closed-loop system.
Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/59bad5240b8afe4fa435ee56c4a869cd362f026c
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In Computational Theory and Mathematics
- Jean-Michel Coron
- Qi Lu
- Hoai-Minh Nguyen
- Miroslav Krstic
- Karine Beauchard
- Rafael Vazquez
- Enrique Zuazua
- Florent Di Meglio
In Computer Networks and Communications
In Control and Systems Engineering
- Jean-Michel Coron
- Qi Lu
- Eduardo Cerpa
- Hoai-Minh Nguyen
- Miroslav Krstic
- Rafael Vazquez
- Karine Beauchard
- Olivier Glass
Citations in the corpus
- Fredholm Transform and Local Rapid Stabilization for a Kuramoto-Sivashinsky Equation (2015, background): “In [3], the same phenomenon of critical values of λ appears in the study of the boundary null controllability of the K-S equation with other boundary conditions.”