CONTROLLABILITY OF A SIMPLIFIED MODEL OF FLUID-STRUCTURE INTERACTION

被引：3

作者：

Ervedoza, S. ^{[1
]}

Vanninathan, M. ^{[1
]}

机构：

[1] Univ Toulouse, CNRS, UPS IMT, Inst Math Toulouse,UMR5219, F-31062 Toulouse 9, France

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2014年 / 20卷 / 02期

关键词：

Controllability; observability; fluid-structure interaction; STABILIZATION; WAVES;

D O I：

10.1051/cocv/2013075

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article aims at studying the controllability of a simplified fluid structure interaction model derived and developed in [ C. Conca, J. Planchard and M. Vanninathan, RAM: Res. Appl. Math. John Wiley & Sons Ltd., Chichester (1995); J.-P. Raymond and M. Vanninathan, ESAIM: COCV 11 (2005) 180-203; M. Tucsnak and M. Vanninathan, Systems Control Lett. 58 (2009) 547-552]. This interaction is modeled by a wave equation surrounding a harmonic oscillator. Our main result states that, in the radially symmetric case, this system can be controlled from the outer boundary. This improves previous results [ J.-P. Raymond and M. Vanninathan, ESAIM: COCV 11 (2005) 180-203; M. Tucsnak and M. Vanninathan, Systems Control Lett. 58 (2009) 547-552]. Our proof is based on a spherical harmonic decomposition of the solution and the so-called lateral propagation of the energy for 1d waves.

引用

页码：547 / 575

页数：29

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