H. Brezis, Functional analysis, Sobolev spaces and partial differential equations, 2010.
DOI : 10.1007/978-0-387-70914-7

E. B. Castelan, S. Tarbouriech, and I. Queinnec, Control design for a class of nonlinear continuous-time systems, Automatica, vol.44, issue.8, pp.442034-2039, 2008.
DOI : 10.1016/j.automatica.2007.11.013

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

A. Chow and K. A. Morris, Hysteresis in the linearized Landau-Lifshitz equation, 2014 American Control Conference, pp.4747-4752
DOI : 10.1109/ACC.2014.6858814

J. Coron, Control and Nonlinearity, 2007.
DOI : 10.1090/surv/136

J. 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

D. F. Coutinho and J. M. Gomes-da-silva-jr, Computing estimates of the region of attraction for rational control systems with saturating actuators, IET Control Theory & Applications, vol.4, issue.3, pp.315-325, 2010.
DOI : 10.1049/iet-cta.2008.0314

M. G. Crandall and A. Pazy, Semi-groups of nonlinear contractions and dissipative sets, Journal of Functional Analysis, vol.3, issue.3, pp.376-418, 1969.
DOI : 10.1016/0022-1236(69)90032-9

R. Curtain and H. Zwart, Stabilization of collocated systems by nonlinear boundary control, Systems & Control Letters, vol.96, pp.11-14, 2016.
DOI : 10.1016/j.sysconle.2016.06.014

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

B. Novel, F. Boustany, F. Conrad, and B. P. Rao, Feedback stabilization of a hybrid PDE-ODE system: Application to an overhead crane, Mathematics of Control, Signals and Systems, vol.13, issue.1, pp.97-106, 1994.

G. Grimm, J. Hatfield, I. Postlethwaite, A. R. Teel, M. C. Turner et al., Antiwindup for stable linear systems with input saturation: An LMI-based synthesis, IEEE Transactions on Automatic Control, vol.48, issue.9, pp.1509-1564, 2003.
DOI : 10.1109/TAC.2003.816965

J. K. Hale, Dynamical systems and stability, Journal of Mathematical Analysis and Applications, vol.26, issue.1, pp.39-59, 1969.
DOI : 10.1016/0022-247X(69)90175-9

B. Jayawardhana, H. Logemann, and E. P. Ryan, Infinite-Dimensional Feedback Systems: the Circle Criterion and Input-to-State Stability, Communications in Information and Systems, vol.8, issue.4, pp.413-444, 2008.
DOI : 10.4310/CIS.2008.v8.n4.a4

B. Jayawardhana, H. Logemann, and E. P. Ryan, The Circle Criterion and Input-to-State Stability, IEEE Control Systems, vol.31, issue.4, pp.32-67, 2011.
DOI : 10.1109/MCS.2011.941143

H. K. Khalil, Nonlinear Systems Second Edition, 1996.

Y. Komura, Nonlinear semi-groups in Hilbert space, Journal of the Mathematical Society of Japan, vol.19, issue.4, pp.493-507, 1967.
DOI : 10.2969/jmsj/01940493

J. Laporte, A. Chaillet, and Y. Chitour, Global stabilization of multiple integrators by a bounded feedback with constraints on its successive derivatives, 2015 54th IEEE Conference on Decision and Control (CDC), pp.3983-3988, 2015.
DOI : 10.1109/CDC.2015.7402838
URL : https://hal.archives-ouvertes.fr/hal-01133844

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

W. Liu, Y. Chitour, and E. Sontag, On Finite-Gain Stabilizability of Linear Systems Subject to Input Saturation, SIAM Journal on Control and Optimization, vol.34, issue.4, pp.1190-1219, 1996.
DOI : 10.1137/S0363012994263469

S. Marx, E. Cerpa, C. Prieur, and V. Andrieu, Stabilization of a linear Kortewegde Vries with a saturated internal control, Proceedings of the European Control Conference, pp.867-872, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01193019

I. Miyadera, Nonlinear semigroups. Translations of mathematical monographs, 1992.

A. F. Pazoto, M. Sepúlveda, and O. Vera-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 : 10.1090/S0025-5718-1964-0159424-9

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. Gomes-da-silva-jr, Wave equation with conebounded control laws, IEEE Trans. on Automat. Control, issue.11, pp.613452-3463, 2016.
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, pp.33-55, 1997.

L. Rosier and B. 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

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

R. E. Showalter, Monotone operators in Banach space and nonlinear partial differential equations, Mathematical Surveys and Monographs, vol.49, 1997.
DOI : 10.1090/surv/049

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 : 10.1007/978-3-662-00781-5

H. J. Sussmann and Y. Yang, On the stabilizability of multiple integrators by means of bounded feedback controls, [1991] Proceedings of the 30th IEEE Conference on Decision and Control, 1991.
DOI : 10.1109/CDC.1991.261255

S. Tarbouriech, G. Garcia, J. M. Gomes, S. 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

M. Tucsnak and G. Weiss, Observation and control for operator semigroups, 2009.
DOI : 10.1007/978-3-7643-8994-9
URL : https://hal.archives-ouvertes.fr/hal-00590673

A. Van-der-schaft and D. Jeltsema, Port-Hamiltonian systems theory: An introductory overview. Foundations and Trends in Systems and Control, pp.173-378, 2014.

L. Zaccarian and A. R. Teel, Modern anti-windup synthesis: control augmentation for actuator saturation, 2011.
DOI : 10.1515/9781400839025