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
fDate :
4/1/2002 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
