C. Airiau and L. Cordier, Flow control of a two-dimensional compressible cavity flow using direct output feedback law. Contrôle des décollements. Separated flow control and aerodynamic performance improvements. Cépaduès, editor; 2013

P. Benner, S. Gugercin, and K. Willcox, A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems, SIAM Review, vol.57, issue.4, pp.483-531, 2015.
DOI : 10.1137/130932715

M. Bergmann and L. Cordier, Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced-order models, Journal of Computational Physics, vol.227, issue.16, pp.7813-7853, 2008.
DOI : 10.1016/j.jcp.2008.04.034

URL : https://hal.archives-ouvertes.fr/hal-00368500

M. Bergmann, L. Cordier, and J. Brancher, Optimal rotary control of the cylinder wake using POD reduced-order model, Phys Fluids, vol.17, issue.097101, pp.1-21, 2005.
DOI : 10.1063/1.2033624

URL : https://hal.archives-ouvertes.fr/inria-00338850

G. Bres and T. Colonius, Three-dimensional instabilities in compressible flow over open cavities, Journal of Fluid Mechanics, vol.31, pp.309-348, 2008.
DOI : 10.1063/1.863009

S. Brunton and B. Noack, Closed-Loop Turbulence Control: Progress and Challenges, Applied Mechanics Reviews, vol.67, issue.5, p.5, 2015.
DOI : 10.1115/1.4031175

L. Cordier, B. Noack, M. Morzy´nski, M. Tadmor, and G. , Flow control and constrained optimization problems Reduced-order modelling for flow control. CISM International Centre for Mechanical Sciences, pp.1-76, 2011.

L. Cordier, A. E. Majd, B. Favier, and J. , Calibration of POD reduced-order models using Tikhonov regularization, International Journal for Numerical Methods in Fluids, vol.33, issue.2, pp.269-96, 2009.
DOI : 10.1137/1.9780898719697

URL : https://hal.archives-ouvertes.fr/hal-01073978

L. Cordier and M. Bergmann, Proper orthogonal decomposition: an overview In: Lecture series 20 02-04, 20 03-03 and 20 08-01 on post-processing of experimental and numerical data. Von Kármán Institute for Fluid Dynamics, pp.1-46, 2008.

L. Cordier and M. Bergmann, Two typical applications of POD: coherent structures eduction and reduced order modelling In: Lecture series 20 02-04, 20 03-03 and 2008-01 on post-processing of experimental and numerical data. Von Kármán Institute for Fluid Dynamics, pp.1-60, 2008.

M. Couplet, C. Basdevant, and P. Sagaut, Calibrated reduced-order POD-Galerkin system for fluid flow modelling, Journal of Computational Physics, vol.207, issue.1, pp.192-220, 2005.
DOI : 10.1016/j.jcp.2005.01.008

T. Duriez, S. Brunton, and B. Noack, Machine learning control ? taming nonlinear dynamics and turbulence. No. 116 in fluid mechanics and its applications, 2016.
DOI : 10.1007/978-3-319-40624-4

M. Fahl, Trust-region methods for flow control based on reduced-order modeling . Trier University

X. Gloerfelt, Compressible proper orthogonal decomposition/Galerkin reduced-order model of self-sustained oscillations in a cavity, Physics of Fluids, vol.45, issue.11, p.115105, 2008.
DOI : 10.1063/1.866071

X. Gloerfelt, C. Bailly, and D. Juvé, Direct computation of the noise radiated by a subsonic cavity flow and application of integral methods, Journal of Sound and Vibration, vol.266, issue.1, pp.119-165, 2003.
DOI : 10.1016/S0022-460X(02)01531-6

D. Gottlieb and E. Turkel, Dissipative two-four methods for time-dependent problems, Mathematics of Computation, vol.30, issue.136, pp.75-97, 1975.
DOI : 10.1090/S0025-5718-1976-0443362-6

URL : https://www.ams.org/mcom/1976-30-136/S0025-5718-1976-0443362-6/S0025-5718-1976-0443362-6.pdf

M. Gunzburger, Introduction into mathematical aspects of flow control and optimization. Lecture series 1997-05 on inverse design and optimization methods . Von Karman Institute for Fluid Dynamics, 1997.

M. Gunzburger, Lagrange multiplier techniques. Lecture series 1997-05 on inverse design and optimzation methods. Von Karman Institute for Fluid Dynamics, 1997.

M. Gunzburger, Perspectives in flow control and optimization. SIAM, 2003.
DOI : 10.1137/1.9780898718720

P. Holmes, J. Lumley, and G. Berkooz, Turbulence, coherent structures, dynamical systems and symmetry, 1996.
DOI : 10.1017/cbo9780511622700

P. Huerre, M. Rossi, and . Ch, hydrodynamics and nonlinear instabilities In: Hydrodynamic instabilities in open flow, pp.81-294, 1998.

V. Kalb and A. Deane, An intrinsic stabilization scheme for proper orthogonal decomposition based low-dimensional models, Physics of Fluids, vol.45, issue.5, p.54106, 2007.
DOI : 10.1137/0726003

C. Kasnakoglu, Reduced-order modeling, nonlinear analysis and control methods for flow control problems. Ohio State University, 2007.

L. Moret-gabarro, Aeroacoustic investigation and adjoint analysis of subsonic cavity flows. Institut National Polytechnique de Toulouse, 2009.

K. Nagarajan, Analysis and control of self-sustained instabilities in a cavity using reduced-order modelling. Institut National Polytechnique de Toulouse, 2010.
DOI : 10.4208/cicp.300112.100812a

K. Nagarajan, L. Cordier, and C. Airiau, Abstract, Communications in Computational Physics, vol.14, issue.01, pp.186-218, 2013.
DOI : 10.4208/cicp.300112.100812a

B. Noack, M. Morzynski, and G. Tadmor, Reduced-order modelling for flow control. CISM courses and lectures 528, 2010.

J. J. Otero, A. S. Sharma, and R. D. Sandberg, Adjoint-based optimal flow control for compressible DNS

L. Perret, C. E. Delville, and J. , Polynomial identification of POD based low-order dynamical system, Journal of Turbulence, vol.3, pp.1-15, 2006.
DOI : 10.1146/annurev.fl.25.010193.002543

URL : https://hal.archives-ouvertes.fr/hal-00124564

C. Rowley, T. Colonius, and A. Basu, On self-sustained oscillations in two-dimensional compressible flow over rectangular cavities, Journal of Fluid Mechanics, vol.455, pp.315-361, 2002.
DOI : 10.1017/S0022112001007534

C. Rowley, T. Colonius, and R. Murray, Model reduction for compressible flows using POD and Galerkin projection, Physica D: Nonlinear Phenomena, vol.189, issue.1-2, pp.115-144, 2004.
DOI : 10.1016/j.physd.2003.03.001

C. Rowley and D. Williams, DYNAMICS AND CONTROL OF HIGH-REYNOLDS-NUMBER FLOW OVER OPEN CAVITIES, Annual Review of Fluid Mechanics, vol.38, issue.1, pp.251-76, 2006.
DOI : 10.1146/annurev.fluid.38.050304.092057

M. Samimy, M. Debiasi, E. Caraballo, A. Serrani, X. Yuan et al., Feedback control of subsonic cavity flows using reduced-order models, Journal of Fluid Mechanics, vol.579, pp.315-361, 2007.
DOI : 10.1017/S0022112007005204

M. Schlegel, B. Noack, P. Jordan, E. Gröschel, W. Schröder et al., On least-order flow representations for aerodynamics and aeroacoustics, Journal of Fluid Mechanics, vol.XLV, pp.387-98, 2012.
DOI : 10.1016/j.jsv.2011.04.018

D. Sipp and P. Schmid, Applied Mechanics Reviews, vol.68, issue.2, pp.20801-020801, 2016.
DOI : 10.1115/1.4033345

S. Sirisup and G. Karniadakis, A spectral viscosity method for correcting the long-term behavior of POD models, Journal of Computational Physics, vol.194, issue.1, pp.92-116, 2004.
DOI : 10.1016/j.jcp.2003.08.021

C. Zhang, Z. Wan, and D. Sun, Model reduction for supersonic cavity flow using proper orthogonal decomposition (POD) and Galerkin projection, Applied Mathematics and Mechanics, vol.160, issue.7, pp.723-759, 2017.
DOI : 10.1006/jcph.2000.6459