RAPID EXPONENTIAL STABILIZATION OF A 1-D TRANSMISSION WAVE EQUATION WITH IN-DOMAIN ANTI-DAMPING

被引：8
|
作者：
Hassine, Fathi [1 ]
机构：
[1] Univ Monastir, Fac Sci Monastir, Dept Math, UR Anal & Control PDE UR13ES64, Monastir 5019, Tunisia
来源：
ASIAN JOURNAL OF CONTROL | 2017年 / 19卷 / 06期
关键词：
Pointwise stabilization; energy decay; wave equation; backstepping; DE-VRIES EQUATION; FEEDBACK STABILIZATION; POINTWISE STABILIZATION; PARABOLIC PDES; STRINGS; BEAMS; DESIGN;
D O I：
10.1002/asjc.1509
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider the problem of pointwise stabilization of a one-dimensional wave equation with an internal spatially varying anti-damping term. We design a feedback law based on the backstepping method and prove exponential stability of the closed-loop system with a desired decay rate.
引用
收藏
页码：2017 / 2027
页数：11
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