DocumentCode
3529705
Title
The Riesz basis property of discrete operators and application to a Euler-Bernoulli beam equation with boundary linear feedback control
Author
Guo, Baozhu
Author_Institution
Dept. of Electr. & Electron. Eng., Pretoria Univ., South Africa
Volume
1
fYear
1999
fDate
1999
Firstpage
463
Abstract
We give an abstract condition for Riesz basis generation for discrete operators in Hilbert space, from which we show that the generalized eigenfunctions of a Euler-Bernoulli beam equation with boundary linear feedback control form a Riesz basis for the state Hilbert space. As a consequence, the asymptotic expression of eigenvalues as well as exponential stability are readily presented
Keywords
Hilbert spaces; asymptotic stability; eigenvalues and eigenfunctions; feedback; vibration control; Euler-Bernoulli beam equation; Hilbert space; Riesz basis property; boundary linear feedback control; discrete operators; exponential stability; generalized eigenfunctions; linear vibration system; Africa; Asymptotic stability; Eigenvalues and eigenfunctions; Equations; Feedback control; Hilbert space; Linear systems; Snow; State-space methods; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Africon, 1999 IEEE
Conference_Location
Cape Town
Print_ISBN
0-7803-5546-6
Type
conf
DOI
10.1109/AFRCON.1999.820914
Filename
820914
Link To Document