F. Alabau, Stabilisation frontiere indirecte de systemes faiblement couplés Comptes Rendus de l'Académie des Sciences-Series I-Mathematics, pp.1015-1020, 1999.

F. Alabau-boussouira, Indirect Boundary Stabilization of Weakly Coupled Hyperbolic Systems, SIAM Journal on Control and Optimization, vol.41, issue.2, pp.511-541, 2002.
DOI : 10.1137/S0363012901385368

F. Alabau-boussouira, On Some Recent Advances on Stabilization for Hyperbolic Equations, Control of partial differential equations, pp.1-100, 2012.
DOI : 10.1007/978-3-642-27893-8_1
URL : https://hal.archives-ouvertes.fr/hal-00767774

N. Anantharaman and M. Léautaud, Sharp polynomial decay rates for the damped wave equation on the torus, Analysis & PDE, vol.29, issue.1, pp.159-214, 2014.
DOI : 10.1007/978-3-7643-8994-9

C. Besse, R. Carles, and S. Ervedoza, A conservation law with spatially localized sublinear damping
URL : https://hal.archives-ouvertes.fr/hal-01741189

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

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

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

R. F. Curtain, H. Logemann, and O. Staffans, Absolute-stability results in infinite dimensions, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, pp.2171-2196, 2004.
DOI : 10.1098/rspa.2003.1261

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

C. M. Dafermos, Asymptotic Behavior of Solutions of Evolution Equations, Nonlinear evolution equations, pp.103-123, 1978.
DOI : 10.1016/B978-0-12-195250-1.50010-2

R. Datko, Extending a theorem of A. M. Liapunov to Hilbert space, Journal of Mathematical Analysis and Applications, vol.32, issue.3, pp.610-616, 1970.
DOI : 10.1016/0022-247X(70)90283-0

F. M. Hante and M. Sigalotti, Converse Lyapunov Theorems for Switched Systems in Banach and Hilbert Spaces, SIAM Journal on Control and Optimization, vol.49, issue.2, pp.752-770, 2011.
DOI : 10.1137/100801561
URL : https://hal.archives-ouvertes.fr/hal-00489958

A. Haraux, Stabilization of trajectories for some weakly damped hyperbolic equations, Journal of Differential Equations, vol.59, issue.2, pp.145-154, 1985.
DOI : 10.1016/0022-0396(85)90151-2

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

W. Kang and E. Fridman, Boundary control of delayed ODE???heat cascade under actuator saturation, Automatica, vol.83, pp.252-261, 2017.
DOI : 10.1016/j.automatica.2017.06.014

W. Kang and E. Fridman, Boundary Constrained Control of Delayed Nonlinear Schrodinger Equation, IEEE Transactions on Automatic Control, 2018.
DOI : 10.1109/TAC.2018.2800526

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

Z. Liu and B. Rao, Characterization of polynomial decay rate for the solution of linear evolution equation, Zeitschrift für angewandte Mathematik und Physik ZAMP, pp.630-644, 2005.
DOI : 10.1007/s00033-004-3073-4
URL : https://hal.archives-ouvertes.fr/hal-00129703

P. Martinez and J. Vancostenoble, Exponential stability for the wave equation with weak nonmonotone damping, Portugaliae Mathematica, vol.57, issue.3, pp.285-310, 2000.

S. Marx, V. Andrieu, and C. Prieur, Cone-bounded feedback laws for m-dissipative operators on Hilbert spaces, Mathematics of Control, Signals, and Systems, vol.1, issue.2???3, 2017.
DOI : 10.1561/2600000002
URL : https://hal.archives-ouvertes.fr/hal-01620024

S. Marx, E. Cerpa, C. Prieur, and V. Andrieu, Global Stabilization of a Korteweg--De Vries Equation With Saturating Distributed Control, SIAM Journal on Control and Optimization, vol.55, issue.3, pp.1452-1480, 2017.
DOI : 10.1137/16M1061837
URL : https://hal.archives-ouvertes.fr/hal-01367622

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

S. Marx, Y. Chitour, and C. Prieur, Stability results for infinite-dimensional linear control systems subject to saturations, European Control Conference, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01857265

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

C. Prieur, S. Tarbouriech, and J. M. Gomes-da-silva-jr, Wave Equation With Cone-Bounded Control Laws, IEEE Transactions on Automatic Control, vol.61, issue.11, pp.613452-3463, 2016.
DOI : 10.1109/TAC.2016.2519759
URL : https://hal.archives-ouvertes.fr/hal-01448483

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

D. L. Russell, Decay rates for weakly damped systems in Hilbert space obtained with control-theoretic methods, Journal of Differential Equations, vol.19, issue.2, pp.344-370, 1975.
DOI : 10.1016/0022-0396(75)90009-1

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, E. Sontag, and Y. Yang, A general result on the stabilization of linear systems using bounded controls, IEEE Transactions on Automatic Control, issue.12, p.39, 1994.

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

E. Zuazua, Exponential decay for the semilinear wave equation with locally distributed damping, Communications in Partial Differential Equations, vol.15, issue.2, pp.205-235, 1990.