J. C. Akers and D. S. Bernstein, ARMARKOV least-squares identification, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041), pp.186-190, 1997.
DOI : 10.1109/ACC.1997.611782

S. Bagheri and D. S. Henningson, Transition delay using control theory, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.585, issue.1940, pp.1365-1381, 2011.
DOI : 10.1098/rsta.2010.0358

E. F. Camacho and C. Bordons, Advanced Textbooks in Control and Signal Processing XXII, Model Predictive Control, 2004.

C. R. Cutler and B. L. Ramaker, Dynamic matrix control ? a computer control algorithm, Proc. Joint Autom. Control Conf, 1980.

N. Dovetta, P. Schmid, D. Sipp, and B. Mckeon, Application of system-identification by ARMarkov and sensitivity analysis to noise-amplifier models, 64th Annual Meeting of the APS Division of Fluid Dynamics, 2011.

A. G. Gerber, R. Dubay, and A. Healy, CFD-based predictive control of melt temperature in plastic injection molding, Applied Mathematical Modelling, vol.30, issue.9, pp.884-903, 2006.
DOI : 10.1016/j.apm.2005.06.001

L. Gerencsér, H. Hjalmarsson, and J. Mårtensson, Identification of ARX systems with non-stationary inputs ??? asymptotic analysis with application to adaptive input design, Automatica, vol.45, issue.3, pp.623-633, 2009.
DOI : 10.1016/j.automatica.2008.09.011

A. Hervé, D. Sipp, P. J. Schmid, and M. Samuelides, A physics-based approach to flow control using system identification, Journal of Fluid Mechanics, vol.15, pp.26-58
DOI : 10.1017/S0022112007005204

S. Huang and J. Kim, Control and system identification of a separated flow, Physics of Fluids, vol.20, issue.10, p.101509, 2008.
DOI : 10.1063/1.3005860

F. Juillet, P. J. Schmid, and P. Huerre, Control of amplifier flows using subspace identification techniques, Journal of Fluid Mechanics, vol.470, pp.522-565
DOI : 10.1021/ie00082a015

URL : https://hal.archives-ouvertes.fr/hal-00995144

R. E. Kalman, 1960 A new approach to linear filtering and prediction problems, Trans. ASME J. Basic Eng, vol.87, pp.35-45

T. Katayama, Subspace Methods for System Identification, 2005.
DOI : 10.1007/1-84628-158-X

J. Kim and T. R. Bewley, A Linear Systems Approach to Flow Control, Annual Review of Fluid Mechanics, vol.39, issue.1, pp.383-417, 2007.
DOI : 10.1146/annurev.fluid.39.050905.110153

W. E. Larimore, System identification, reduced order filtering and modeling via canonical variate analysis, Proc. Conf. Dec. Control, 1983.

W. E. Larimore, Canonical variate analysis in identification, filtering, and adaptive control, 29th IEEE Conference on Decision and Control, 1990.
DOI : 10.1109/CDC.1990.203665

L. Ljung, P. Van-overschee, and B. De-moor, System Identification: Theory for the User N4SID: subspace algorithms for the identification of combined deterministic-stochastic systems, Automatica, vol.30, pp.75-93, 1987.

P. Van-overschee and B. De-moor, Subspace Identification for Linear Systems, 1996.
DOI : 10.1007/978-1-4613-0465-4

S. J. Qin and T. A. Badgwell, A survey of industrial model predictive control technology, Control Engineering Practice, vol.11, issue.7, pp.733-764
DOI : 10.1016/S0967-0661(02)00186-7

J. Richalet, A. Rault, J. L. Testud, and J. Papon, Model predictive heuristic control, Automatica, vol.14, issue.5, pp.413-428, 1978.
DOI : 10.1016/0005-1098(78)90001-8

K. Roussopoulos and P. A. Monkewitz, Nonlinear modelling of vortex shedding control in cylinder wakes, Physica D: Nonlinear Phenomena, vol.97, issue.1-3, pp.264-273
DOI : 10.1016/0167-2789(96)00151-0

M. Verhaegen and E. Deprettere, 1991 A fast, recursive MIMO state space model identification algorithm, Proc. 30 th IEEE Conf. Dec. Control pp, pp.1349-1354

H. Akaike, Fitting autoregressive models for prediction, Annals of the Institute of Statistical Mathematics, vol.28, issue.1, pp.716-723, 1974.
DOI : 10.1007/BF02532251

J. C. Akers and D. S. Bernstein, ARMARKOV least-squares identification, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041), 1997.
DOI : 10.1109/ACC.1997.611782

C. Brighenti, B. Wahlberg, and C. R. Rojas, Input design using Markov chains for system identification, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, pp.1557-1562, 2009.
DOI : 10.1109/CDC.2009.5400423

M. S. Fledderjohn, M. S. Holzel, H. J. Palanthandalam-madapusi, R. J. Fuentes, and D. S. Bernstein, 2010 A comparison of least squares algorithm for estimating Markov parameters, Amer. Control Conf. (ACC), pp.3735-3740

J. Fleming, Generalized Tikhonov regularization: Basic theory and comprehensive results on convergence rates, 2011.

L. Gerencser, H. Hjalmarsson, and J. Martensson, Identification of ARX systems with non-stationary inputs ??? asymptotic analysis with application to adaptive input design, Automatica, vol.45, issue.3, pp.623-633, 2009.
DOI : 10.1016/j.automatica.2008.09.011

R. Glowinski, Finite element methods for incompressible viscous flow, Handbook of Numerical Analysis, pp.3-1176, 2003.
DOI : 10.1016/S1570-8659(03)09003-3

A. Hervé, D. Sipp, P. J. Schmid, and M. Samuelides, A physics-based approach to flow control using system identification, Journal of Fluid Mechanics, vol.15, pp.26-58
DOI : 10.1017/S0022112007005204

H. Hjalmarsson, From experiment design to closed-loop control, Automatica, vol.41, issue.3, pp.393-438, 2005.
DOI : 10.1016/j.automatica.2004.11.021

S. J. Illingworth, A. S. Morgans, and C. W. Rowley, Feedback control of flow resonances using balanced reduced-order models, Journal of Sound and Vibration, vol.330, issue.8, pp.1567-1581
DOI : 10.1016/j.jsv.2010.10.030

J. N. Juang and R. S. Pappa, An eigensystem realization algorithm for modal parameter identification and model reduction, Journal of Guidance, Control, and Dynamics, vol.8, issue.5, pp.620-627, 1985.
DOI : 10.2514/3.20031

F. Juillet, P. J. Schmid, and P. Huerre, Control of amplifier flows using subspace identification techniques, Journal of Fluid Mechanics, vol.470, pp.2013-522
DOI : 10.1021/ie00082a015

URL : https://hal.archives-ouvertes.fr/hal-00995144

M. Kamrunnahar, B. Huang, and D. G. Fisher, Estimation of Markov parameters and time-delay/interactor matrix, Chemical Engineering Science, vol.55, issue.17, pp.3353-3363, 2000.
DOI : 10.1016/S0009-2509(00)00008-7

T. Katayama, Subspace Methods for System Identification, 2005.
DOI : 10.1007/1-84628-158-X

J. Kim, Control of turbulent boundary layers, Physics of Fluids, vol.15, issue.5, pp.1093-1105, 2003.
DOI : 10.1063/1.1564095

J. Lew, J. Juang, and R. W. Longman, Comparison of several system identification methods for flexible structures, 32nd Structures, Structural Dynamics, and Materials Conference, pp.461-480, 1993.
DOI : 10.2514/6.1991-947

L. Ljung, System Identification: Theory for the User, 1987.

Z. Ma, S. Ahuja, and C. W. Rowley, Reduced-order models for control of fluids using the eigensystem realization algorithm, Theoretical and Computational Fluid Dynamics, vol.19, issue.3, pp.233-247, 2011.
DOI : 10.1007/s00162-010-0184-8

R. K. Mehra, Optimal inputs for linear system identification, IEEE Transactions on Automatic Control, vol.19, issue.3, pp.192-200, 1974.
DOI : 10.1109/TAC.1974.1100554

J. Rissanen, A universal prior for integers and estimation by minimum description length. The Annals of Stat, pp.416-431, 1983.

S. Skogestad and I. Postlethwaite, Multivariable Feedback Control ? Analysis and Design, 2001.

G. W. Stewart, On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems, SIAM Review, vol.19, issue.4, pp.634-662, 1977.
DOI : 10.1137/1019104

G. W. Stewart, Perturbation theory and least squares with errors in the variables, Contemp . Math, vol.112, issue.4, 1990.
DOI : 10.1090/conm/112/1087108

T. Van-pelt and D. S. Bernstein, Least squares identification using ??-Markov parameterizations, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), pp.618-619, 1998.
DOI : 10.1109/CDC.1998.760748

P. Wedin, Perturbation theory for pseudo-inverses, BIT, vol.17, issue.2, pp.217-232
DOI : 10.1007/BF01933494

A. Apte, D. Auroux, and M. Ramaswamy, Variational data-assimilation for discrete Burgers equation, U. Elec. J. Diff. Equ, vol.19, pp.15-30, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01275732

S. Avril, M. Bonnet, A. Bretelle, M. Grédiac, F. Hild et al., Overview of Identification Methods of Mechanical Parameters Based on Full-field Measurements, Experimental Mechanics, vol.48, issue.4, pp.381-402, 2008.
DOI : 10.1007/s11340-008-9148-y

URL : https://hal.archives-ouvertes.fr/hal-00274639

C. Bardos and O. Pironneau, Data Assimilation for Conservation Laws, Methods and Applications of Analysis, vol.12, issue.2, pp.103-134, 2005.
DOI : 10.4310/MAA.2005.v12.n2.a3

T. Bui-thanh, M. Damodaran, and K. E. Willcox, Aerodynamic Data Reconstruction and Inverse Design Using Proper Orthogonal Decomposition, AIAA Journal, vol.42, issue.8, pp.1505-1516, 2004.
DOI : 10.2514/1.2159

V. Bukshtynov, O. Volkov, and B. Protas, On optimal reconstruction of constitutive relations, Physica D: Nonlinear Phenomena, vol.240, issue.16, pp.1228-1244, 2011.
DOI : 10.1016/j.physd.2011.04.006

M. Ghil and P. Malanotte-rizzoli, Data Assimilation in Meteorology and Oceanography, 1991.
DOI : 10.1016/S0065-2687(08)60442-2

A. Gronskis, D. Heitz, and E. Mémin, Inflow and initial conditions for direct numerical simulation based on adjoint data assimilation, Journal of Computational Physics, vol.242, pp.480-497, 2013.
DOI : 10.1016/j.jcp.2013.01.051

URL : https://hal.archives-ouvertes.fr/hal-00654290

E. Kalnay, Atmospheric Modeling, Data Assimilation and Predictability, 2002.
DOI : 10.1017/CBO9780511802270

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.88.5725

J. M. Lewis, S. Lakshmivarahan, and S. Dhall, Dynamic Data Assimilation: A Least Squares Approach, Encyclopedia of Mathematics and Its Application, vol.104, issue.13, 2006.
DOI : 10.1017/CBO9780511526480

B. J. Mckeon, J. D. Li, W. Jiang, J. F. Morrison, and A. J. Smits, Further observations on the mean velocity distribution in fully developed pipe flow, Journal of Fluid Mechanics, vol.501, pp.135-147, 2004.
DOI : 10.1017/S0022112003007304

P. Ruhnau, A. Stahl, and C. Schnörr, On-Line Variational Estimation of Dynamical Fluid Flows with Physics-Based Spatio-temporal Regularization, Pattern Recognition, vol.4174, pp.444-454, 2006.
DOI : 10.1007/11861898_45

G. Tissot, L. Cordier, and B. R. Noack, Résolution d'unprobì eme d'assimilation variationnelle 4D-VAR par des modèles réduits POD adaptatifs, 2011.

X. Wu and P. Moin, A direct numerical simulation study on the mean velocity characteristics in turbulent pipe flow, Journal of Fluid Mechanics, vol.52, pp.81-112, 2008.
DOI : 10.1063/1.869328

A. J. Musker, Explicit Expression for the Smooth Wall Velocity Distribution in a Turbulent Boundary Layer, AIAA Journal, vol.17, issue.6, pp.655-657, 1979.
DOI : 10.2514/3.61193

D. B. Spalding, A simple formula for the law of the wall, J. Appl. Mech. Trans. ASME Ser. E, vol.83, issue.455, 1961.

S. Avril, M. Bonnet, A. Bretelle, M. Grédiac, F. Hild et al., Overview of Identification Methods of Mechanical Parameters Based on Full-field Measurements, Experimental Mechanics, vol.48, issue.4, pp.381-402, 2008.
DOI : 10.1007/s11340-008-9148-y

URL : https://hal.archives-ouvertes.fr/hal-00274639

P. Courtier, Dual formulation of four-dimensional variational assimilation, Quarterly Journal of the Royal Meteorological Society, vol.121, issue.544, pp.2449-2461, 1997.
DOI : 10.1002/qj.49712354414

R. Everson and L. Sirovich, Karhunen???Lo??ve procedure for gappy data, Journal of the Optical Society of America A, vol.12, issue.8, pp.1657-1664, 1995.
DOI : 10.1364/JOSAA.12.001657

M. Ghil and P. Malanotte-rizzoli, Data Assimilation in Meteorology and Oceanography, Adv. Geophys, vol.33, pp.141-266, 1991.
DOI : 10.1016/S0065-2687(08)60442-2

H. Gunes, S. Sirisup, and G. E. Karniadakis, Gappy data: To Krig or not to Krig?, Journal of Computational Physics, vol.212, issue.1, pp.358-382, 2006.
DOI : 10.1016/j.jcp.2005.06.023

M. D. Gunzburger, Adjoint equation-based methods for control problems in incompressible , viscous flows, Flow, Turbulence and Combustion, vol.65, pp.3-4, 2000.

D. Heitz, E. Mémin, and C. Schnorr, Variational fluid flow measurements from image sequences: synopsis and perspectives, Experiments in Fluids, vol.28, issue.4, pp.369-393, 2010.
DOI : 10.1007/s00348-009-0778-3

URL : https://hal.archives-ouvertes.fr/hal-00456162

D. C. Hill, Adjoint systems and their role in the receptivity problem for boundary layers, Journal of Fluid Mechanics, vol.159, issue.-1, pp.183-204, 1995.
DOI : 10.1063/1.1694056

C. P. Jackson, A finite-element study of the onset of vortex shedding in flow past variously shaped bodies, Journal of Fluid Mechanics, vol.288, issue.-1, pp.23-45
DOI : 10.1017/S0022112059000829

L. Dimet, F. Talagrand, and O. , Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects, Tellus A, vol.109, issue.2, pp.97-110, 1986.
DOI : 10.1111/j.1600-0870.1986.tb00459.x

P. Luchini and A. Bottaro, Linear stability and receptivity analyses of the Stokes layer produced by an impulsively started plate, Physics of Fluids, vol.13, issue.6, 1668.
DOI : 10.1063/1.1369605

J. Lundvall, V. Kozlov, and P. Weinerfelt, Iterative methods for data assimilation for burgers's equation, pp.505-535, 2006.

O. Marquet, D. Sipp, J. Chomaz, and L. Jacquin, Amplifier and resonator dynamics of a low-Reynolds-number recirculation bubble in a global framework, Journal of Fluid Mechanics, vol.27, pp.429-443, 2008.
DOI : 10.1002/(SICI)1097-0363(19970615)24:113.0.CO;2-R

URL : https://hal.archives-ouvertes.fr/hal-01022799

B. Mohammadi and O. Pironneau, SHAPE OPTIMIZATION IN FLUID MECHANICS, Annual Review of Fluid Mechanics, vol.36, issue.1, pp.255-279, 2004.
DOI : 10.1146/annurev.fluid.36.050802.121926

J. Pralits, L. Brandt, and F. Giannetti, Instability and sensitivity of the flow around a rotating circular cylinder, Journal of Fluid Mechanics, vol.84, p.513, 2010.
DOI : 10.1016/S0376-0421(02)00030-1

P. Ruhnau, T. Kohlberger, H. Nobach, and C. Schnorr, Variational optical flow estimation for particle image velocimetry, Experiments in Fluids, vol.14, issue.1, pp.21-32, 2005.
DOI : 10.1007/s00348-004-0880-5

P. Ruhnau and C. Schnorr, Optical Stokes flow estimation: an imaging-based control approach, Experiments in Fluids, vol.15, issue.3, pp.61-78, 2007.
DOI : 10.1007/s00348-006-0220-z

P. Ruhnau, A. Stahl, and C. Schnorr, Variational estimation of experimental fluid flows with physics-based spatio-temporal regularization, Measurement Science and Technology, vol.18, issue.3, pp.755-763, 2007.
DOI : 10.1088/0957-0233/18/3/027

P. J. Schmid, Nonmodal Stability Theory, Nonmodal stability theory, pp.129-162, 2007.
DOI : 10.1146/annurev.fluid.38.050304.092139

URL : https://hal.archives-ouvertes.fr/hal-01023333

A. Apte, D. Auroux, and M. Ramaswamy, Variational assimilation for Burgers equation, AB Conf. Diff. Equ. and Comp. Sim, pp.15-30, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01275732

S. Avril, M. Bonnet, A. Bretelle, F. Hild, P. Ienny et al., Overview of Identification Methods of Mechanical Parameters Based on Full-field Measurements, Experimental Mechanics, vol.48, issue.4, pp.381-402, 2008.
DOI : 10.1007/s11340-008-9148-y

URL : https://hal.archives-ouvertes.fr/hal-00274639

T. Bui-thanh, M. Damodaran, and K. E. Willcox, Aerodynamic Data Reconstruction and Inverse Design Using Proper Orthogonal Decomposition, AIAA Journal, vol.42, issue.8, pp.1505-1516, 2004.
DOI : 10.2514/1.2159

V. Bukshtynov, O. Volkov, and B. Protas, On optimal reconstruction of constitutive relations, Physica D: Nonlinear Phenomena, vol.240, issue.16, pp.1228-1244, 2011.
DOI : 10.1016/j.physd.2011.04.006

N. Dovetta, B. J. Mckeon, D. P. Foures, P. J. Schmid, and D. Sipp, 2013 Dataassimilation for mean flow and shear stress reconstruction in turbulent pipe flow, Congrès Français de Mécanique

J. Flemming, Generalized Tikhonov regularization: Basic theory and comprehensive results on convergence rates, 2011.

D. P. Foures, N. Dovetta, D. Sipp, and P. J. Schmid, 2013 A data-assimilation method for Reynolds-Averaged Navier-Stokes-driven mean-flow reconstruction, J. Fluid Mech. x

M. Gharib, The effect of flow oscillations on cavity drag, and a technique for their control, 1983.

M. Ghil and P. Malanotte-rizzoli, Data Assimilation in Meteorology and Oceanography, pp.141-266, 1991.
DOI : 10.1016/S0065-2687(08)60442-2

C. Gonzalez, J. Bruhat, B. Wainfan, and B. J. Mckeon, Control of laminar separation on an idealized airfoil using periodic dynamic roughness actuation, Gallery of Fluid Motion, 2010.

E. Kalnay, Atmospheric Modeling, Data Assimilation and Predictability, 2002.
DOI : 10.1017/CBO9780511802270

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.88.5725

J. M. Lewis, S. Lakshmivarahan, and S. Dhall, Dynamic data assimilation: A least squares approach, Encyclopedia of Mathematics and Its Application, vol.104, issue.13, 2006.
DOI : 10.1017/CBO9780511526480

A. Norman and B. J. Mckeon, Effect of Sting Size on the Wake of a Sphere at SubCritical Reynolds Numbers, 38th Fluid Dynamics Conference and Exhibit, pp.2012-4183, 2008.
DOI : 10.2514/6.2008-4183

R. H. Pletcher, D. A. Anderson, and J. C. Tannehill, 2012 Computational Fluid Mechanics and Heat Transfer

A. Prasad and C. H. Williamson, The instability of the shear layer separating from a bluff body, Journal of Fluid Mechanics, vol.333, pp.375-402, 1997.
DOI : 10.1017/S0022112096004326

G. Tissot, L. Cordier, and B. R. Noack, Résolution d'unprobì eme d'assimilation variationnelle 4d-var par des modèles réduits pod adaptatifs, 2011.

R. D. Wallace and B. J. Mckeon, 2012 Laminar separation bubble manipulation with dynamic roughness. 6th AIAA Flow Control Conference, pp.2012-2680

J. Westerweel, Fundamentals of digital particle image velocimetry, Measurement Science and Technology, vol.8, issue.12, p.1379, 1997.
DOI : 10.1088/0957-0233/8/12/002

J. Westerweel, On velocity gradients in PIV interrogation, Experiments in Fluids, vol.10, issue.5, pp.831-842, 2008.
DOI : 10.1007/s00348-007-0439-3

H. Akaike, Fitting autoregressive models for prediction, Annals of the Institute of Statistical Mathematics, vol.28, issue.1, pp.716-723, 1974.
DOI : 10.1007/BF02532251

B. G. Allan, L. Owens, . Lin, and C. John, Optimal design of passive flow control for a boundary-layer-ingesting offset inlet using design-ofexperiments, 2006.

A. Apte, . Auroux, and . Ramaswamy, M 2010 Variational assimilation for burger equations, AB Conference on Differential Equations & Computational Simulations), pp.15-30

S. Avril, M. Bonnet, A. Bretelle, F. Hild, P. Ienny et al., Overview of Identification Methods of Mechanical Parameters Based on Full-field Measurements, Experimental Mechanics, vol.48, issue.4, pp.381-402, 1007.
DOI : 10.1007/s11340-008-9148-y

URL : https://hal.archives-ouvertes.fr/hal-00274639

H. Azamathulla, &. Md, . Wu, and . Fu-chun, Support vector machine approach for longitudinal dispersion coefficients in natural streams, Applied Soft Computing, vol.11, issue.2, pp.2902-2905, 2011.
DOI : 10.1016/j.asoc.2010.11.026

A. Barbagallo, G. Dergham, D. Sipp, P. J. Schmid, and J. Robinet, 2012 Closed-loop control of unsteadiness over a rounded backward-facing step, Journal of Fluid Mechanics

A. Barbagallo, . Sipp, &. Denis, . Schmid, and J. Peter, Closed-loop control of an open cavity flow using reduced-order models, Journal of Fluid Mechanics, vol.44, issue.1, pp.1-50, 2009.
DOI : 10.1007/s00348-006-0188-8

URL : https://hal.archives-ouvertes.fr/hal-01021129

T. R. Bewley, Flow control: new challenges for a new Renaissance, Progress in Aerospace sciences, pp.21-58, 2001.
DOI : 10.1016/S0376-0421(00)00016-6

. Bukshtynov, . Vladislav, . Volkov, &. Oleg, and . Protas, On optimal reconstruction of constitutive relations, Physica D: Nonlinear Phenomena, vol.240, issue.16, pp.1228-1244
DOI : 10.1016/j.physd.2011.04.006

E. F. Camacho and C. Bordons, Advanced Textbooks in Control and Signal Processing XXII, Model Predictive Control, vol.23, 2004.

P. K. Chang, Control of Separation of Flow, p.11232, 1976.
DOI : 10.1016/B978-0-08-013441-3.50016-2

T. Corke, . Enloe, and . Wilkinson, SP 2010 Dielectric barrier discharge plasma actuators for flow control, ANNUAL REVIEW OF FLUID MECHANICS, vol.12, pp.505-529

L. Cortelezzi and . Speyer, Robust reduced-order controller of laminar boundary layer transitions, Physical Review E, vol.58, issue.2, p.1906
DOI : 10.1103/PhysRevE.58.1906

C. Cossu, Retarder la transition vers la turbulence, Ed. Techniques Ingénieur, 2007.

D. Daescu and . Navon, Efficiency of a POD-based reduced second-order adjoint model in 4D-Var data assimilation, International Journal for Numerical Methods in Fluids, vol.31, issue.6, pp.985-1004
DOI : 10.1002/fld.1316

N. Dovetta, . Juillet, &. Fabien, . Schmid, and J. Peter, Data-based model-predictive control design for convectively unstable flows, Underconsideration for publication in Journal of Fluid Mechanics, 2013.

A. G. Gerber, R. Dubay, and A. Healy, CFD-based predictive control of melt temperature in plastic injection molding, Applied Mathematical Modelling, vol.30, issue.9, pp.884-903, 2006.
DOI : 10.1016/j.apm.2005.06.001

M. Ghil and . Malanotte-rizzoli, P 1991 Data assimilation in meteorology and oceanography, Advances in Geophysics

C. Gonzalez, J. Bruhat, B. Wainfan, and B. J. Mckeon, Control of laminar separation on an idealized airfoil using periodic dynamic roughness actuation, Gallery of Fluid Motion Poster 26, p.10, 2010.

M. Gad-el-hak, M. Pollard, and J. P. Bonnet, Flow Control: Fundamentals and Practices. Springer Lecture Notes in Physics, New Series Monographs, 1998.

A. Hervé, . Sipp, . Denis, . Schmid, J. Peter et al., A physics-based approach to flow control using system identification, Journal of Fluid Mechanics, vol.15, pp.26-58
DOI : 10.1017/S0022112007005204

S. Huang and . Kim, Control and system identification of a separated flow, Physics of Fluids, vol.20, issue.10, p.101509, 2008.
DOI : 10.1063/1.3005860

P. Huerre and . Monkewitz, Absolute and convective instabilities in free shear layers, Journal of Fluid Mechanics, vol.19, issue.-1, pp.151-68
DOI : 10.1017/S0022112064000908

S. J. Illingworth, A. S. Morgans, and C. W. Rowley, Feedback control of flow resonances using balanced reduced-order models, Journal of Sound and Vibration, vol.330, issue.8, pp.1567-1581
DOI : 10.1016/j.jsv.2010.10.030

J. N. Juang and R. S. Pappa, An eigensystem realization algorithm for modal parameter identification and model reduction, Journal of Guidance, Control, and Dynamics, vol.8, issue.5, pp.620-627, 1985.
DOI : 10.2514/3.20031

F. Juillet, . Schmid, J. Peter, and . Huerre, Control of amplifier flows using subspace identification techniques, Journal of Fluid Mechanics, vol.470, pp.522-565
DOI : 10.1021/ie00082a015

URL : https://hal.archives-ouvertes.fr/hal-00995144

R. Kalaba and . Spingarn, Karl 1982 Control, identification, and input optimization

T. Katayama, Subspace Methods for System Identification, 2005.
DOI : 10.1007/1-84628-158-X

M. Kegerise, . Cattafesta, and . Ha, Adaptive identification and control of flow-induced cavity oscillations. AIAA paper 3158, p.15, 2002.

C. Kenney and G. Hewer, The Sensitivity of the Algebraic and Differential Riccati Equations, SIAM Journal on Control and Optimization, vol.28, issue.1, 1990.
DOI : 10.1137/0328003

M. M. Konstantinov, P. Petkov, . Hr, and N. D. Christov, Perturbation analysis of the discrete riccati equation, Kybernetika, 1993.

L. D. Kral, Active flow control technology, ASME Fluids Engineering Division Technical Brief, 2000.

G. Lachmann and . Victor, Boundary layer and flow control: its principles and application, Pergamon, vol.2, 1961.

. Ljung, On The Consistency of Prediction Error Identification Methods, Mathematics in Science and Engineering, vol.126, pp.121-164
DOI : 10.1016/S0076-5392(08)60871-1

L. Ljung, System identification Theory for the user, 1987.

. Ljung, Lennart 1988 System identification toolbox, p.14

L. Ljung, Prediction error estimation methods, Circuits, Systems, and Signal Processing, vol.31, issue.12, pp.11-21, 2002.
DOI : 10.1007/BF01211648

R. W. Longman, J. Lew, D. Tseng, and J. Juang, Variance and bias confidence criteria for ERA modal parameter identification, Astrodynamics Conference, 1988.
DOI : 10.2514/6.1988-4312

P. M. Mäkilä, J. R. Partington, and T. K. Gustafsson, Worst-case control-relevant identification, IEEE transaction on automatic control, vol.46, issue.4, p.656, 2001.

B. J. Mckeon, J. D. Li, W. Jiang, J. F. Morrison, and A. J. Smits, Further observations on the mean velocity distribution in fully developed pipe flow, Journal of Fluid Mechanics, vol.501, p.501, 2004.
DOI : 10.1017/S0022112003007304

R. K. Mehra, Optimal inputs for linear system identification, IEEE Transactions on Automatic Control, vol.19, issue.3, pp.192-200, 1974.
DOI : 10.1109/TAC.1974.1100554

. Mohammadi, &. Bijan, and . Pironneau, SHAPE OPTIMIZATION IN FLUID MECHANICS, Annual Review of Fluid Mechanics, vol.36, issue.1, pp.255-279, 2004.
DOI : 10.1146/annurev.fluid.36.050802.121926

J. C. Owen, . Bearman, W. Peter, and . Szewczyk, PASSIVE CONTROL OF VIV WITH DRAG REDUCTION, Journal of Fluids and Structures, vol.15, issue.3-4, pp.597-605
DOI : 10.1006/jfls.2000.0358

S. Qin, &. Joe, and . Badgwell, A survey of industrial model predictive control technology, Control Engineering Practice, vol.11, issue.7, pp.733-764
DOI : 10.1016/S0967-0661(02)00186-7

R. Rathnasingham, System identification and active control of a turbulent boundary layer, 4th Shear Flow Control Conference, 1997.
DOI : 10.2514/6.1997-1793

J. Rissanen, A Universal Prior for Integers and Estimation by Minimum Description Length, The Annals of Statistics, vol.11, issue.2, pp.416-431
DOI : 10.1214/aos/1176346150

O. Semeraro, S. Bagheri, L. Brandt, and D. Hennigson, Feedback control of three-dimensional optimal disturbances using reduced-order models, Journal of Fluid Mechanics, vol.447, 2011.
DOI : 10.1109/TAC.1987.1104549

G. W. Stewart, II, SVD and Signal Processing, 1990.
DOI : 10.1097/00000446-193211000-00017

URL : https://hal.archives-ouvertes.fr/halshs-01055554

D. &. Thévenin and . Janiga, Ga¯ ?bor 2008 Optimization and computational fluid dynamics

G. Tissot, L. Cordier, and B. R. Noack, Résolution d'un problème d'assimilation variationnelle 4d-var par des modèles réduits pod adaptatifs, 2011.

R. J. Vaccaro, A Second-Order Perturbation Expansion for the SVD, SIAM Journal on Matrix Analysis and Applications, vol.15, issue.2, pp.661-671
DOI : 10.1137/S0895479891224245

R. J. Vaccaro and A. C. Kot, 1987 A perturbation theory for the analysis of svdbased alogorithms, Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '87

R. D. Wallace and B. J. Mckeon, 2012 Laminar separation bubble manipulation with dynamic roughness, 6th AIAA Flow Control Conference, pp.2012-2680

E. Weyer, System identification of an open water channel, Control Engineering Practice, vol.9, issue.12, pp.1289-1299, 2001.
DOI : 10.1016/S0967-0661(01)00099-5

D. Williams, . Kerstens, . Wesley, . Pfeiffer, . Jens et al., Unsteady Lift Suppression with a Robust Closed Loop Controller, Active Flow Control II, pp.19-30, 2010.
DOI : 10.1007/978-3-642-11735-0_2

. Wu, &. Xiaoua, and . Moin, Parviz 2008 A direct numerical simulation study on the mean velocity characteristics in turbulent pipe flow, Journal of Fluid Mechanics, vol.608, pp.81-112

I. Wygnanski, A Century of Active Control of Boundary Layer Separation: A Personal View, IUTAM Symposium on One Hundred Years of Boundary Layer Research Solid mechanics and its applications, pp.155-165, 2006.
DOI : 10.1007/978-1-4020-4150-1_15