H. Brezis, Functional analysis, Sobolev spaces and partial differential equations, 2011.
DOI : 10.1007/978-0-387-70914-7

E. Cerpa, Exact Controllability of a Nonlinear Korteweg???de Vries Equation on a Critical Spatial Domain, SIAM Journal on Control and Optimization, vol.46, issue.3, pp.877-899, 2007.
DOI : 10.1137/06065369X

E. Cerpa, Control of a Korteweg-de Vries equation: A tutorial, Mathematical Control and Related Fields, vol.4, issue.1, pp.45-99, 2014.
DOI : 10.3934/mcrf.2014.4.45

E. Cerpa and J. M. Coron, Rapid Stabilization for a Korteweg-de Vries Equation From the Left Dirichlet Boundary Condition, IEEE Transactions on Automatic Control, vol.58, issue.7, pp.58-1688, 2013.
DOI : 10.1109/TAC.2013.2241479

URL : https://hal.archives-ouvertes.fr/hal-00730190

E. Cerpa and E. Crépeau, Rapid exponential stabilization for a linear Korteweg-de Vries equation, Discrete and Continuous Dynamical Systems - Series B, vol.11, issue.3, pp.655-668, 2009.
DOI : 10.3934/dcdsb.2009.11.655

M. Chapouly, GLOBAL CONTROLLABILITY OF A NONLINEAR KORTEWEG???DE VRIES EQUATION, Communications in Contemporary Mathematics, vol.11, issue.03, pp.495-521, 2009.
DOI : 10.1142/S0219199709003454

J. Chu, J. M. Coron, and P. Shang, Asymptotic stability of a nonlinear Korteweg???de Vries equation with critical lengths, Journal of Differential Equations, vol.259, issue.8, pp.259-4045, 2015.
DOI : 10.1016/j.jde.2015.05.010

J. M. Coron and E. Crépeau, Exact boundary controllability of a nonlinear KdV equation with critical lengths, Journal of the European Mathematical Society, vol.6, pp.367-398, 2004.
DOI : 10.4171/JEMS/13

URL : https://hal.archives-ouvertes.fr/inria-00077038

J. M. Coron and Q. Lü, Local rapid stabilization for a Korteweg???de Vries equation with a Neumann boundary control on the right, Journal de Math??matiques Pures et Appliqu??es, vol.102, issue.6, pp.1080-1120, 2014.
DOI : 10.1016/j.matpur.2014.03.004

URL : https://hal.archives-ouvertes.fr/hal-00905091

J. Daafouz, M. Tucsnak, and J. Valein, Nonlinear control of a coupled PDE/ODE system modeling a switched power converter with a transmission line, Systems & Control Letters, vol.70, pp.92-99, 2014.
DOI : 10.1016/j.sysconle.2014.05.009

URL : https://hal.archives-ouvertes.fr/hal-01095237

I. Lasiecka and T. I. Seidman, Strong stability of elastic control systems with dissipative saturating feedback, Systems & Control Letters, vol.48, issue.3-4, pp.243-252, 2003.
DOI : 10.1016/S0167-6911(02)00269-4

H. Logemann and E. P. Ryan, Time-Varying and Adaptive Integral Control of Infinite-Dimensional Regular Linear Systems with Input Nonlinearities, SIAM Journal on Control and Optimization, vol.38, issue.4, pp.1120-1144, 1998.
DOI : 10.1137/S0363012998339228

S. Marx and E. Cerpa, Output feedback control of the linear Korteweg-de Vries equation, 53rd IEEE Conference on Decision and Control, pp.2083-2087, 2014.
DOI : 10.1109/CDC.2014.7039705

URL : https://hal.archives-ouvertes.fr/hal-01120749

S. Marx, E. Cerpa, C. Prieur, and V. Andrieu, Stabilization of a linear Korteweg-de Vries equation with a saturated internal control, 2015 European Control Conference (ECC), pp.867-872, 2015.
DOI : 10.1109/ECC.2015.7330651

URL : https://hal.archives-ouvertes.fr/hal-01193019

A. F. Pazoto, M. Sepúlveda, and O. V. Villagrán, Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with damping, Numerische Mathematik, vol.202, issue.2, pp.317-356, 2010.
DOI : 10.1007/s00211-010-0291-x

A. Pazoto, Unique continuation and decay for the Korteweg-de Vries equation with localized damping, ESAIM: Control, Optimisation and Calculus of Variations, vol.11, issue.3, pp.473-486, 2005.
DOI : 10.1051/cocv:2005015

A. Pazy, Semigroups of linear operators and applications to partial differential equations, 1983.
DOI : 10.1007/978-1-4612-5561-1

C. Prieur, S. Tarbouriech, and J. M. Da-silva-jr, Wave Equation With Cone-Bounded Control Laws, IEEE Transactions on Automatic Control, vol.61, issue.11, 2016.
DOI : 10.1109/TAC.2016.2519759

URL : https://hal.archives-ouvertes.fr/hal-01448483

L. Rosier, Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain, ESAIM: Control, Optimisation and Calculus of Variations, vol.2, pp.33-55, 1997.
DOI : 10.1051/cocv:1997102

L. Rosier and B. Y. Zhang, Global Stabilization of the Generalized Korteweg--de Vries Equation Posed on a Finite Domain, SIAM Journal on Control and Optimization, vol.45, issue.3, pp.927-956, 2006.
DOI : 10.1137/050631409

URL : https://hal.archives-ouvertes.fr/hal-00149689

L. Rosier and B. Y. Zhang, Control and stabilization of the Korteweg-de Vries equation: recent progresses, Journal of Systems Science and Complexity, vol.26, issue.3, pp.647-682, 2009.
DOI : 10.1007/s11424-009-9194-2

URL : https://hal.archives-ouvertes.fr/hal-00600652

T. I. Seidman and H. Li, A note on stabilization with saturating feedback, Discrete Contin. Dyn. Syst, vol.7, issue.2, pp.319-328, 2001.

M. Slemrod, Feedback stabilization of a linear control system in Hilbert space with ana priori bounded control, Mathematics of Control, Signals, and Systems, vol.10, issue.3, pp.847-857, 1989.
DOI : 10.1007/BF02551387

H. J. Sussmann, E. D. Sontag, Y. , and Y. , A general result on the stabilization of linear systems using bounded controls, IEEE Trans. Automat. Control, issue.12, pp.39-2411, 1994.

S. Tang and M. Krstic, Stabilization of Linearized Korteweg-de Vries Systems with Anti-diffusion, 2013.

S. Tarbouriech, G. Garcia, J. M. Gomes-da-silva-jr, and I. Queinnec, Stability and Stabilization of Linear Systems with Saturating Actuators, 2011.
DOI : 10.1007/978-0-85729-941-3

A. R. Teel, Global stabilization and restricted tracking for multiple integrators with bounded controls, Systems & Control Letters, vol.18, issue.3, pp.165-171, 1992.
DOI : 10.1016/0167-6911(92)90001-9

L. Zaccarian and A. Teel, Modern Anti-windup Synthesis: Control Augmentation for Actuator Saturation: Control Augmentation for Actuator Saturation, 2011.
DOI : 10.1515/9781400839025