Local exact controllability to the trajectories of the 1-D Kuramoto–Sivashinsky equation☆

By Eduardo Cerpa, Alberto Mercado. 2011

84 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4ef7fa1cfb45cca3a870409f861bee1e5520aa5d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Jean-Michel Coron
2. Qi Lu
3. Zhongcheng Zhou

In Control and Systems Engineering

1. Jean-Michel Coron
2. Qi Lu
3. Zhongcheng Zhou
4. Eduardo Cerpa
5. Hoai-Minh Nguyen
6. Miroslav Krstic
7. Rafael Vazquez
8. Karine Beauchard

In Statistical and Nonlinear Physics

1. Qi Lu
2. Jean-Michel Coron
3. Zhongcheng Zhou
4. Eduardo Cerpa
5. Karine Beauchard
6. Olivier Glass
7. Miroslav Krstic
8. Emmanuelle Crépeau

Citations in the corpus

• OBSERVABILITY ESTIMATE AND NULL CONTROLLABILITY FOR ONE-DIMENSIONAL FOURTH ORDER PARABOLIC EQUATION (2012, background): “Recently, Cerpa [3, 4] considered the local boundary controllability for an especial one-dimensional fourth order parabolic equation(Kuramoto-Sivashinsky equation).”
• Fredholm Transform and Local Rapid Stabilization for a Kuramoto-Sivashinsky Equation (2015, methodology): “study of the boundary null controllability of the K-S equation with other boundary conditions. Moreover, a pole shifting method is applied in order to stabilize the noncritical cases. Furthermore, in [4], the authors show that when controlling all the boundary data at one point (x= 0 or x= 1), the e”