scholarly journals Boundary feedback control of linear hyperbolic systems: Application to the Saint-Venant–Exner equations

Automatica ◽  
2018 ◽  
Vol 89 ◽  
pp. 44-51 ◽  
Author(s):  
Christophe Prieur ◽  
Joseph J. Winkin
Keyword(s):  
Feedback Control ◽  
Hyperbolic Systems ◽  
Boundary Feedback Control ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document