Feedback stabilization of a simplified model of fluid-structure interaction on a tree

被引：2

作者：

Ammari, Kais ^{[1
]}

Shel, Farhat ^{[1
]}

Vanninathan, Muthusamy ^{[2
,3
]}

机构：

[1] Univ Monastir, Fac Sci Monastir, Dept Math, UR Anal & Control PDEs,UR 13ES64, Monastir, Tunisia

[2] TIFR CAM, Post Bag 6503, Bangalore 560065, Karnataka, India

[3] Indian Inst Technol, Math Dept, Mumbai 400076, Maharashtra, India

来源：

ASYMPTOTIC ANALYSIS | 2017年 / 103卷 / 1-2期

关键词：

Dynamic feedback; asymptotic stabilization; resolvent method; CONTROLLABILITY; NETWORK;

D O I：

10.3233/ASY-171418

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the dynamic feedback stability for some simplified model of fluid-structure interaction on a tree. We prove that, under some conditions, the energy of the solutions of the dissipative system decay exponentially to zero when the time tends to infinity. Our technique is based on a frequency domain method and a special analysis for the resolvent.

引用

页码：33 / 55

页数：23

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