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.
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页码：33 / 55
页数：23
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