Adaptive stabilization for a Kirchhoff-type nonlinear beam under boundary output feedback control

被引：39
|
作者：
Guo, Bao-Zhu [1 ]
Guo, Wei
机构：
[1] Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, South Africa
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 02期
基金：
新加坡国家研究基金会; 中国国家自然科学基金;
关键词：
nonlinear beam equation; existence and uniqueness of solution; dynamic feedback stabilization;
D O I：
10.1016/j.na.2005.11.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the boundary stabilization for a Kirchhoff-type nonlinear beam with one end fixed and control at the other end is considered. A gain adaptive controller is designed in terms of measured end velocity. The existence and uniqueness of the classical solution of the closed-loop system are justified. The exponential stability of the system is obtained. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：427 / 441
页数：15
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