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

页码：2017 / 2027

页数：11

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