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
收藏
页码：33 / 55
页数：23
相关论文
共 50 条
  • [41] Accurate Model of an Inflated Torus with Fluid-Structure Interaction
    Rajan, Akash
    Kochupillai, Jayaraj
    AIAA JOURNAL, 2017, 55 (05) : 1763 - 1766
  • [42] Lp-theory for a fluid-structure interaction model
    Denk, Robert
    Saal, Juergen
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (05):
  • [43] Locally distributed control for a model of fluid-structure interaction
    Tucsnak, M.
    Vanninathan, M.
    SYSTEMS & CONTROL LETTERS, 2009, 58 (08) : 547 - 552
  • [44] FE/FMBE coupling to model fluid-structure interaction
    Schneider, S.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2008, 76 (13) : 2137 - 2156
  • [45] ASYMPTOTIC ANALYSIS OF A SIMPLE MODEL OF FLUID-STRUCTURE INTERACTION
    Nicaise, Serge
    Pignotti, Cristina
    NETWORKS AND HETEROGENEOUS MEDIA, 2008, 3 (04) : 787 - 813
  • [46] Fluid-Structure Interaction Model of a Wind Turbine Blade
    Abu Raihan, Gazi
    Chakravarty, Uttam K.
    PROCEEDINGS OF ASME 2023 INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, IMECE2023, VOL 4, 2023,
  • [47] A phase-field model for fluid-structure interaction
    Mokbel, Dominic
    Abels, Helmut
    Aland, Sebastian
    JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 372 : 823 - 840
  • [48] Axisymmetric fluid-structure interaction model of the left ventricle
    Deserranno, D
    Popovic, ZB
    Greenberg, NL
    Kassemi, M
    Thomas, JD
    COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS, 2003, : 1669 - 1672
  • [49] A fluid-structure interaction model for stability analysis of shells conveying fluid
    Firouz-Abadi, R. D.
    Noorian, M. A.
    Haddadpour, H.
    JOURNAL OF FLUIDS AND STRUCTURES, 2010, 26 (05) : 747 - 763
  • [50] Fluid-Structure Interaction of Propellers
    Neugebauer, Jens
    Abdel-Maksoud, Aloustafa
    Braun, Manfred
    IUTAM SYMPOSIUM ON FLUID-STRUCTURE INTERACTION IN OCEAN ENGINEERING, 2008, 8 : 191 - +
12345