Exponential Stability for Linearized Korteweg-de Vries-ODE system

被引：0
|
作者：
Lu, Lu [1 ]
Zhao, Dong-Xia [2 ]
Yao, Lin-Hong [2 ]
机构：
[1] Beijing Inst Technol, Sch Math, Beijing 100081, Peoples R China
[2] North Univ China, Dept Math, Taiyuan 030051, Peoples R China
来源：
26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC) | 2014年
关键词：
Korteweg-de Vries equation; Dynamic boundary control; Stability; STABILIZATION; FEEDBACK; EQUATION;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a class of linearized Korteweg-de Vries equation is designed to be a dynamic boundary feedback controller to stabilize a pendulum, which is described as a second order ODE. The semigroup approach is adopted to show that the linear operator constructed in analyzing well-posedness and stability of the target system. For both the state and output feedback boundary controllers, exponential stability analysis in the sense of the corresponding norms for the resulting closed-loop system are provided.
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页码：3739 / 3743
页数：5
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