K. Avrachenkov and W. Paszke, State-dependent delay system model for congestion control, 1st International Conference on Informatics in Control, Automation, and Robotics, 2004.

H. Balakrishnan, N. Dukipati, N. Mckeown, and C. Tomlin, Stability Analysis of Explicit Congestion Control Protocols, IEEE Communications Letters, vol.11, issue.10, pp.823-825, 2007.
DOI : 10.1109/LCOMM.2007.070076

N. Bekiaris-liberis and M. Krstic, Compensation of State-Dependent Input Delay for Nonlinear Systems, IEEE Transactions on Automatic Control, vol.58, issue.2, pp.275-289, 2013.
DOI : 10.1109/TAC.2012.2208294

S. Boyd, L. El-ghaoui, E. Feron, and V. Balakrishnan, Linear matrix inequalities in system and control theory, SIAM, Studies in Applied Mathematics, vol.15, 1994.
DOI : 10.1137/1.9781611970777

C. Briat, H. Hjalmarsson, K. Johansson, U. Jönsson, G. Karlsson et al., Nonlinear state-dependent delay modeling and stability analysis of internet congestion control, 49th IEEE Conference on Decision and Control (CDC), pp.1484-1491, 2010.
DOI : 10.1109/CDC.2010.5717857

URL : https://hal.archives-ouvertes.fr/hal-00575213

K. Gu, V. Kharitonov, and J. Chen, Stability of time-delay systems, Boston: Birkhauser, 2003.
DOI : 10.1007/978-1-4612-0039-0

URL : https://hal.archives-ouvertes.fr/hal-00664367

I. Gyori and F. Hartung, Exponential stability of a state-dependent delay system. Discrete and Continuous Dynamical Systems, pp.773-791, 2007.

A. Hassibi and S. Boyd, Quadratic stabilization and control of piecewise-linear systems, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 1998.
DOI : 10.1109/ACC.1998.703296

H. Hindi and S. Boyd, Analysis of linear systems with saturation using convex optimization, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 1998.
DOI : 10.1109/CDC.1998.760808

C. Hollot, V. Misra, D. Towley, and W. Gong, Analysis and design of controllers for AQM routers supporting TCP flows, IEEE Transactions on Automatic Control, vol.47, issue.6, pp.47945-959, 2002.
DOI : 10.1109/TAC.2002.1008360

M. Johansson, PIECEWISE QUADRATIC ESTIMATES OF DOMAINS OF ATTRACTION FOR LINEAR SYSTEMS WITH SATURATION, IFAC World Congress, 2002.
DOI : 10.3182/20020721-6-ES-1901.00281

M. Johansson and A. Rantzer, Computation of piecewise quadratic Lyapunov functions for hybrid systems, IEEE Transactions on Automatic Control, vol.43, issue.4, pp.555-559, 1998.
DOI : 10.1109/9.664157

V. Kulkarni, M. Jun, and J. Hespanha, Piecewise quadratic Lyapunov functions for piecewise affine time-delay systems, American Control Conference, 2004.

V. Kolmanovskii and A. Myshkis, Applied theory of functional differential equations. Kluwer, 1999.

K. Liu and E. Fridman, Delay-dependent methods: when does the first delay interval need a special analysis, 11th Workshop on Time-Delay Systems, 2013.

S. Liu, T. Basar, and R. Srikant, Pitfalls in the fluid modeling of RTT variations in window-based congestion control, INFOCOM, 2005.

W. Michiels, D. Melchior-aguilar, and S. Niculescu, Stability analysis of some classes of TCP/AQM networks, International Journal of Control, vol.49, issue.9, pp.1136-1144, 2006.
DOI : 10.1142/S021812740501323X

K. Moezzi, L. Rodrigues, and A. Aghdam, Stability of uncertain piecewise affine systems with time-delay, 2009 American Control Conference, 2009.
DOI : 10.1109/ACC.2009.5160711

P. Park, J. Ko, and C. Jeong, Reciprocally convex approach to stability of systems with time-varying delays, Automatica, vol.47, issue.1, pp.235-238, 2011.
DOI : 10.1016/j.automatica.2010.10.014

P. Ranjan, R. La, and E. A. , Global stability with a statedependent delay in rate control, 5th IFAC Workshop on Time Delay Systems, 2004.

L. Rodrigues and J. How, Observer-based control of piecewise-affine systems, International Journal of Control, vol.72, issue.5, pp.459-477, 2003.
DOI : 10.1017/CBO9780511546150

S. Tarbouriech and J. Gomes-da-silva-jr, Synthesis of controllers for continuous-time delay systems with saturating controls via LMIs, IEEE Transactions on Automatic Control, vol.45, issue.1, pp.105-110, 2000.
DOI : 10.1109/9.827364

E. Verriest, Stability of systems with state-dependent and random delays, IMA Journal of Mathematical Control and Information, vol.19, issue.1 and 2, pp.103-114, 2002.
DOI : 10.1093/imamci/19.1_and_2.103

H. Walther, A periodic solution of a differential equation with state-dependent delay, Journal of Differential Equations, vol.244, issue.8, pp.1910-1945, 2008.
DOI : 10.1016/j.jde.2008.02.001