Title :
Exponential stabilization of a non-uniform porous-elasticity system
Author :
Han, Zhong-Jie ; Xu, Gen-Qi ; Cao, Xue-Guang
Author_Institution :
Dept. of Math., Tianjin Univ. Tianjin, Tianjin, China
Abstract :
A kind of one-dimensional porous-elasticity system with variable coefficients is considered in this paper. The velocity of the solids at one end is observed. A feedback controller is designed to stabilize this system. By a complete spectral analysis, it is proved that the corresponding closed-loop system satisfies the spectrum-determined-growth condition, that is, the decay rate of the system is determined by the spectral bound. Then the exponential stability is concluded based on the spectral distribution.
Keywords :
asymptotic stability; closed loop systems; control system synthesis; feedback; porous materials; spectral analysis; closed-loop system; decay rate; exponential stabilization; feedback controller; nonuniform porous-elasticity system; spectral analysis; spectral distribution; spectrum-determined-growth condition; variable coefficients; Asymptotic stability; Eigenvalues and eigenfunctions; Equations; Hilbert space; Mathematical model; Solids; Stability analysis;
Conference_Titel :
Control Conference (ASCC), 2011 8th Asian
Conference_Location :
Kaohsiung
Print_ISBN :
978-1-61284-487-9
Electronic_ISBN :
978-89-956056-4-6
