Feedback stabilization of Navier-Stokes equations

被引：60

作者：

Barbu, V ^{[1
]}

机构：

[1] Alexandru Ioan Cuza Univ, Dept Math, Iasi 6600, Romania

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2003年 / 9卷 / 09期

关键词：

Navier-Stokes system; Riccati equation; linearized system; steady-state solution; weak solution;

D O I：

10.1051/cocv:2003009

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

One proves that the steady-state solutions to Navier-Stokes equations with internal controllers are locally exponentially stabilizable by linear feedback controllers provided by a LQ control problem associated with the linearized equation.

引用

页码：197 / 206

页数：10

共 50 条

[1] Stabilization of Navier-Stokes equations by boundary feedback
Ravindran, S. S.
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2007, 4 (3-4) : 608 - 624
[2] CERTAIN QUESTIONS OF FEEDBACK STABILIZATION FOR NAVIER-STOKES EQUATIONS
Fursikov, Andrei V.
Gorshkov, Alexey V.
EVOLUTION EQUATIONS AND CONTROL THEORY, 2012, 1 (01): : 109 - 140
[3] NAVIER-STOKES EQUATIONS WITH POTENTIALS. FEEDBACK STABILIZATION
Lefter, Adriana-Ioana
ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2008, 54 (02): : 329 - 346
[4] Stabilization of Navier-Stokes Equations
Barbu, Viorel
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2008, 26 (1-2): : 107 - 116
[5] Feedback stabilization for the 2D Navier-Stokes equations
Fursikov, AV
NAVIER-STOKES EQUATIONS: THEORY AND NUMERICAL METHODS, 2002, 223 : 179 - 196
[6] STABILIZATION OF NAVIER-STOKES EQUATIONS BY OBLIQUE BOUNDARY FEEDBACK CONTROLLERS
Barbu, Viorel
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2012, 50 (04) : 2288 - 2307
[7] Observer-based feedback boundary stabilization of the Navier-Stokes equations
He, Xiaoming
Hu, Weiwei
Zhang, Yangwen
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 339 : 542 - 566
[8] Stabilization to an equilibrium of the Navier-Stokes equations with tangential action of feedback controllers
Lasiecka, Irena
Triggiani, Roberto
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 121 : 424 - 446
[9] LYAPUNOV FUNCTION AND LOCAL FEEDBACK BOUNDARY STABILIZATION OF THE NAVIER-STOKES EQUATIONS
Badra, Mehdi
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 48 (03) : 1797 - 1830
[10] Feedback boundary stabilization of the two-dimensional Navier-Stokes equations
Raymond, Jean-Pierre
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 45 (03) : 790 - 828

← 1 2 3 4 5 →