J. A. Atwell and B. B. King, Stabilized finite element methods and feedback control for Burgers' equation, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), pp.4-2745, 2000.
DOI : 10.1109/ACC.2000.878709

M. Badra and T. Takahashi, Stabilization of Parabolic Nonlinear Systems with Finite Dimensional Feedback or Dynamical Controllers: Application to the Navier???Stokes System, SIAM Journal on Control and Optimization, vol.49, issue.2, pp.420-463, 2011.
DOI : 10.1137/090778146
URL : https://hal.archives-ouvertes.fr/hal-00431041

H. T. Banks and K. Kunisch, The Linear Regulator Problem for Parabolic Systems, SIAM Journal on Control and Optimization, vol.22, issue.5, pp.684-698, 1984.
DOI : 10.1137/0322043

V. Barbu, Stabilization of Navier?Stokes Flows, Communications and Control Engineering, 2011.

V. Barbu, Stabilization of Navier--Stokes Equations by Oblique Boundary Feedback Controllers, SIAM Journal on Control and Optimization, vol.50, issue.4, pp.2288-2307, 2012.
DOI : 10.1137/110837164

V. Barbu, I. Lasiecka, and R. Triggiani, Abstract settings for tangential boundary stabilization of Navier?Stokes equations by high-and low-gain feedback controllers, Nonlinear Anal, pp.2704-2746, 2006.

V. Barbu, S. S. Rodrigues, and A. Shirikyan, Internal Exponential Stabilization to a Nonstationary Solution for 3D Navier???Stokes Equations, SIAM Journal on Control and Optimization, vol.49, issue.4, pp.1454-1478, 2011.
DOI : 10.1137/100785739
URL : https://hal.archives-ouvertes.fr/hal-00455250

V. Barbu and R. Triggiani, Internal stabilization of Navier?Stokes equations with finitedimensional controllers, Indiana Univ, Math. J, vol.53, pp.1443-1494, 2004.

P. Benner, Morlab package software Available: http://www-user.tu-chemnitz.de/ ~ benner/ software.php. [10] , A matlab repository for model reduction based on spectral projection, Proceedings of the 2006 IEEE Conference on Computer Aided Control Systems Design, pp.19-24, 2006.

M. Braack, E. Burman, V. John, and G. Lube, Stabilized finite element methods for the generalized Oseen problem, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.4-6, pp.853-866, 2007.
DOI : 10.1016/j.cma.2006.07.011

R. Curtain and A. J. Pritchard, The Infinite-Dimensional Riccati Equation for Systems Defined by Evolution Operators, SIAM Journal on Control and Optimization, vol.14, issue.5, pp.951-983, 1976.
DOI : 10.1137/0314061

G. , D. Prato, and A. Ichikawa, Uniform asymptotic stability of evolutionary processes in a Banach space, SIAM J. Control Optim, vol.28, pp.359-381, 1990.

R. Datko, Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space, SIAM Journal on Mathematical Analysis, vol.3, issue.3, pp.428-445, 1972.
DOI : 10.1137/0503042

M. C. Delfour and S. K. Mitter, Controllability, Observability and Optimal Feedback Control of Affine Hereditary Differential Systems, SIAM Journal on Control, vol.10, issue.2, pp.298-328, 1972.
DOI : 10.1137/0310023

J. Donea and A. Huerta, Finite Element Methods for Flow Problems, 2003.
DOI : 10.1002/0470013826

A. Doubova, E. Fernández-cara, M. González-burgos, and E. Zuazua, On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient, SIAM Journal on Control and Optimization, vol.41, issue.3, pp.41-798, 2002.
DOI : 10.1137/S0363012901386465

T. Duyckaerts, X. Zhang, and E. Zuazua, On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.25, issue.1, pp.25-26, 2008.
DOI : 10.1016/j.anihpc.2006.07.005
URL : https://hal.archives-ouvertes.fr/hal-00107212

A. V. Fursikov and A. A. Kornev, Feedback stabilization for the Navier???Stokes equations: theory and calculations, Mathematical Aspects of Fluid Mechanics, pp.130-172, 2012.
DOI : 10.1017/CBO9781139235792.008

M. Gunzburger, Perspectives in Flow Control and Optimization, Advances in Design and Control, 2003.

M. Hinze and S. Volkwein, Analysis of instantaneous control for the Burgers equation, Nonlinear Anal, pp.1-26, 2002.

O. Yu, Imanuvilov, Controllability of parabolic equations, Sbornik Math, pp.879-900, 1995.

C. Johnson, U. Nävert, and J. Pitkäranta, Finite element methods for linear hyperbolic problems, Computer Methods in Applied Mechanics and Engineering, vol.45, issue.1-3, pp.285-312, 1984.
DOI : 10.1016/0045-7825(84)90158-0

D. A. Jones and E. S. Titi, On the number of determining nodes for the 2D Navier-Stokes equations, Upper bounds on the number of determining modes, nodes, and volume elements for the Navier?Stokes equations, pp.72-88, 1992.
DOI : 10.1016/0022-247X(92)90190-O

S. Kesavan and J. Raymond, On a degenerate Riccati equation, Control Cybernet, pp.1393-1410, 2009.

A. A. Kornev, The method of asymptotic stabilization to a given trajectory based on a correction of the initial data A problem of asymptotic stabilization by the right-hand side, Comput. Math. Math. Phys, vol.4629, pp.34-48, 2006.

M. Krstic, L. Magnis, and R. Vazquez, Nonlinear Control of the Viscous Burgers Equation: Trajectory Generation, Tracking, and Observer Design, Journal of Dynamic Systems, Measurement, and Control, vol.131, issue.2, pp.131-0210121, 2009.
DOI : 10.1115/1.3023128

K. Kunisch and S. Volkwein, Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition Galerkin proper orthogonal decomposition methods for a general equation in fluid mechanics, J. Optim. Theory Appl. SIAM J. Numer. Anal, vol.10232, pp.345-371, 1999.

K. Kunisch, S. Volkwein, and L. Xie, HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems, SIAM Journal on Applied Dynamical Systems, vol.3, issue.4, pp.701-722, 2004.
DOI : 10.1137/030600485

K. Kunisch and L. Xie, POD-based feedback control of the burgers equation by solving the evolutionary HJB equation, Computers & Mathematics with Applications, vol.49, issue.7-8, pp.1113-1126, 2005.
DOI : 10.1016/j.camwa.2004.07.022

I. Lasiecka and R. Triggiani, Control Theory for Partial Differential Equations: Continuous and Approximation Theories. I Abstract Parabolic Systems, 74 in Encyclopedia of Mathematics and its Applications, 2000.

J. Lions, Equations Differentielles Operationnelles etProbì emes aux Limites, no, Die Grundlehren der Mathematischen Wissenschaften in Einzeldarstellungen, 1961.

S. S. Ravindran, Stabilization of Navier?Stokes equations by boundary feedback, Int. J. Numer. Anal. Model, vol.4, pp.608-624, 2007.

J. Raymond and L. Thevenet, Boundary feedback stabilization of the two-dimensional Navier?Stokes equations with finite-dimensional controllers, Discrete Contin, Dyn. Syst, vol.27, pp.1159-1187, 2010.

S. S. Rodrigues, Boundary observability inequalities for the 3D Oseen?Stokes system and applications. ESAIM Control Optim. Calc. Var. (to appear, 2014045.

S. S. Rodrigues, Local exact boundary controllability of 3D Navier?Stokes equations, Nonlinear Anal, pp.175-190, 2014.

R. Temam, Navier?Stokes Equations and Nonlinear Functional Analysis, no, CBMS-NSF Regional Conference Series in Applied Mathematics, SIAM Navier?Stokes Equations: Theory and Numerical Analysis, 1995.
DOI : 10.1137/1.9781611970050

L. Thevenet, J. Buchot, and J. Raymond, Nonlinear feedback stabilization of a two-dimensional Burgers equation, ESAIM: Control, Optimisation and Calculus of Variations, vol.16, issue.4, pp.929-955, 2010.
DOI : 10.1051/cocv/2009028
URL : https://hal.archives-ouvertes.fr/hal-00629863

V. M. Ungureanu and V. Dragan, Nonlinear differential equations of Riccati type on ordered Banach spaces, in Electron, Proc. 9'th Coll, pp.1-22, 2012.

M. Yamamoto, Carleman estimates for parabolic equations and applications, Inverse Problems, vol.25, issue.12, p.25, 2009.
DOI : 10.1088/0266-5611/25/12/123013

J. Zabczyk, Mathematical Control Theory: An Introduction, Systems & Control: Foundations & Applications, 1992.
DOI : 10.1007/978-0-8176-4733-9