A study on damping rates and boundary feedback control in distributed parameter vibrating systems

2020 ◽  
Vol 488 (2) ◽  
pp. 124082
Author(s):  
Chunqiu Wei ◽  
Liangliang Li ◽  
Fei Wang ◽  
Xiaomin Cao ◽  
Yining Chen ◽  
...  
Keyword(s):  
Feedback Control ◽  
Distributed Parameter ◽  
Boundary Feedback Control ◽  
Boundary Feedback ◽  
Vibrating Systems

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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