DocumentCode
1271245
Title
Riesz basis property of a second-order hyperbolic system with collocated scalar input-output
Author
Guo, Bao-Zhu ; Luo, Yue-Hu
Author_Institution
Inst. of Syst. Sci., Acad. Sinica, Beijing, China
Volume
47
Issue
4
fYear
2002
fDate
4/1/2002 12:00:00 AM
Firstpage
693
Lastpage
698
Abstract
The closed-loop form of a second-order hyperbolic system with scalar collocated sensor/actuator is considered. The Riesz basis property of the system is verified for diagonal semigroups based on an abstract result of one rank perturbation of discrete-type operators in Hilbert spaces. A simplified proof for the abstract result is presented
Keywords
Fourier series; Hilbert spaces; closed loop systems; distributed parameter systems; eigenvalues and eigenfunctions; perturbation techniques; pole assignment; stability; Hilbert spaces; Riesz basis property; closed-loop form; collocated scalar input-output; diagonal semigroups; discrete-type operators; linear operator perturbation; nonharmonic Fouler series; pole assignment problem; rank perturbation; scalar collocated sensor/actuator; second-order hyperbolic system; Actuators; Controllability; Eigenvalues and eigenfunctions; Fourier series; Hilbert space; Mathematics; Moment methods; Sensor systems; Space technology; Stability;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.995052
Filename
995052
Link To Document