Stabilization of wave equations with boundary delays and non-collocated feedback controls
This paper deals with the non-collocated, time-delayed actively point controls of a star-shaped network modeled by wave equations which has a rigid body attached on the common vertex. A closed-loop control is provided. It is shown that the closed-loop system is exponential stable if and only if it is asymptotically stable and there are at most finite eigenvalues on the imaginary axis under certain conditions. Furthermore, the exponential stability of the closed-loop system can always be obtained by choosing suitable feedback gain constants.
wave equations variable coefficient time delay non-collocated control exponential stabilization.
Yanni Guo Genqi Xu
College of Science, Civil Aviation University of China, Tianjin, 300300, China Department of Mathematics, Tianjin University, Tianjin 300072, China
国际会议
The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)
太原
英文
3154-3159
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）