Riesz basis approach to the tracking control of a flexible beam with a tip rigid body without dissipativity

被引：7
|
作者：
Guo, BZ [1 ]
机构：
[1] Acad Sinica, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
OPTIMIZATION METHODS & SOFTWARE | 2002年 / 17卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Riesz basis; spectrum-determined growth condition; stability; controllability; observability;
D O I：
10.1080/1055678021000007288
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A linear feedback control is designed regardless of dissipativity of the system for the stabilization of a flexible beam with a tip rigid body. The Riesz basis approach is adopted in the investigation. It is shown that the closed loop system is a Riesz spectral system and as consequences, the exponential stability, the observability and the controllability of the system are concluded. Finally, some numerical results are also presented.
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页码：655 / 681
页数：27
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