Boundary Feedback Control of the Burgers Equations by a Reduced-Order Approach Using Centroidal Voronoi Tessellations

2009 ◽  
Vol 43 (3) ◽  
pp. 369-387 ◽  
Author(s):  
Hyung-Chun Lee ◽  
Guang-Ri Piao
Keyword(s):  
Feedback Control ◽  
Voronoi Tessellations ◽  
Boundary Feedback Control ◽  
Reduced Order ◽  
Burgers Equations ◽  
Boundary Feedback ◽  
Centroidal Voronoi Tessellations

scholarly journals A Snapshot Decomposition Method for Reduced Order Modeling and Boundary Feedback Control

2008 ◽  
Author(s):  
R. Chris Camphouse ◽  
James Myatt ◽  
Ryan Schmit ◽  
Mark Glauser ◽  
Julie Ausseur ◽  
...  
Keyword(s):  
Feedback Control ◽  
Decomposition Method ◽  
Reduced Order Modeling ◽  
Boundary Feedback Control ◽  
Reduced Order ◽  
Boundary Feedback

scholarly journals Riesz basis property of Timoshenko beams with boundary feedback control

2003 ◽  
Vol 2003 (28) ◽  
pp. 1807-1820 ◽  
Author(s):  
De-Xing Feng ◽  
Gen-Qi Xu ◽  
Siu-Pang Yung
Keyword(s):  
Feedback Control ◽  
Riesz Basis ◽  
Closed Loop ◽  
Loop System ◽  
Beam Equation ◽  
Closed Loop System ◽  
Boundary Feedback Control ◽  
Riesz Basis Property ◽  
Boundary Feedback ◽  
Generalized Eigenvectors

A Timoshenko beam equation with boundary feedback control is considered. By an abstract result on the Riesz basis generation for the discrete operators in the Hilbert spaces, we show that the closed-loop system is a Riesz system, that is, the sequence of generalized eigenvectors of the closed-loop system forms a Riesz basis in the state Hilbert space.

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