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 control problem associated with the linearized equation.
Mots-clés : Navier-Stokes system, Riccati equation, linearized system, steady-state solution, weak solution
@article{COCV_2003__9__197_0,
author = {Barbu, Viorel},
title = {Feedback stabilization of {Navier-Stokes} equations},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {197--205},
publisher = {EDP-Sciences},
volume = {9},
year = {2003},
doi = {10.1051/cocv:2003009},
zbl = {1076.93037},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/cocv:2003009/}
}
TY - JOUR AU - Barbu, Viorel TI - Feedback stabilization of Navier-Stokes equations JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2003 SP - 197 EP - 205 VL - 9 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv:2003009/ DO - 10.1051/cocv:2003009 LA - en ID - COCV_2003__9__197_0 ER -
%0 Journal Article %A Barbu, Viorel %T Feedback stabilization of Navier-Stokes equations %J ESAIM: Control, Optimisation and Calculus of Variations %D 2003 %P 197-205 %V 9 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv:2003009/ %R 10.1051/cocv:2003009 %G en %F COCV_2003__9__197_0
Barbu, Viorel. Feedback stabilization of Navier-Stokes equations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 197-205. doi : 10.1051/cocv:2003009. http://archive.numdam.org/articles/10.1051/cocv:2003009/
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