Title :
On the stabilization of an irrigation channel with a cascade of 2 pools: A linearized case
Author :
Dong-Xia Zhao ; Jun-Min Wang
Author_Institution :
Dept. of Math., Beijing Inst. of Technol., Beijing, China
Abstract :
This paper deals with the exponential stability of the linearized Saint-Venant equations. The stability analysis relies on the spectral analysis method, it is shown that the closed loop system has a set of generalized eigenfunctions, which form a Riesz basis for the state space, and hence the spectrum-determined growth condition is deduced.
Keywords :
asymptotic stability; irrigation; Riesz basis; closed loop system; exponential stability analysis; generalized eigenfunctions; irrigation channel; linearized Saint-Venant equations; spectral analysis method; spectrum determined growth condition; stabilization; state space; Control theory; Eigenvalues and eigenfunctions; Equations; Irrigation; Spectral analysis; Stability analysis;
Conference_Titel :
Control Conference (ASCC), 2013 9th Asian
Conference_Location :
Istanbul
Print_ISBN :
978-1-4673-5767-8
DOI :
10.1109/ASCC.2013.6606160
