# Feedback stabilization of Navier–Stokes equations

ESAIM: Control, Optimisation and Calculus of Variations (2003)

- Volume: 9, page 197-205
- ISSN: 1292-8119

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topBarbu, Viorel. "Feedback stabilization of Navier–Stokes equations." ESAIM: Control, Optimisation and Calculus of Variations 9 (2003): 197-205. <http://eudml.org/doc/245418>.

@article{Barbu2003,

abstract = {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.},

author = {Barbu, Viorel},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Navier–Stokes system; Riccati equation; linearized system; steady-state solution; weak solution; Navier-Stokes system},

language = {eng},

pages = {197-205},

publisher = {EDP-Sciences},

title = {Feedback stabilization of Navier–Stokes equations},

url = {http://eudml.org/doc/245418},

volume = {9},

year = {2003},

}

TY - JOUR

AU - Barbu, Viorel

TI - Feedback stabilization of Navier–Stokes equations

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2003

PB - EDP-Sciences

VL - 9

SP - 197

EP - 205

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/245418

ER -

## References

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## Citations in EuDML Documents

top- Viorel Barbu, The internal stabilization by noise of the linearized Navier-Stokes equation
- Viorel Barbu, The internal stabilization by noise of the linearized Navier-Stokes equation
- Mehdi Badra, Feedback stabilization of the 2-D and 3-D Navier-Stokes equations based on an extended system
- Mehdi Badra, Feedback stabilization of the 2-D and 3-D Navier-Stokes equations based on an extended system

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