]. A. Angot, Compléments de mathématiquesmathématiquesà l'usage des ingénieurs de l'´ electrotechnique et des télécommunications, Masson et Cie, 1972.

M. Baptista, ContributionàContributionà l'´ etude de la propagation de crues en hydrologie, Ecole Nationale des Ponts et Chaussées, 1990.
URL : https://hal.archives-ouvertes.fr/pastel-00568722

M. Baptista and C. Michel, Influence des caract??ristiques hydrauliques des biefs sur la propagation des pointes de crue, La Houille Blanche, vol.2, issue.2, pp.141-148, 1990.
DOI : 10.1051/lhb/1990007

J. Baume, J. Sau, and P. Malaterre, Modeling of irrigation channel dynamics for controller design, Conf. on Systems, Man and Cybernetics , SMC'98, pp.3856-3861, 1998.

P. L. Bentura and C. Michel, Flood routing in a wide channel with a quadratic lag-and-route method, Hydrological Sciences Journal, vol.105, issue.12, pp.169-189, 1997.
DOI : 10.1080/02626669709492018

G. Besançon, D. Georges, and Z. Benayache, Towards nonlinear delay-based control for convection-like distributed systems: The example of water flow control in open channel systems, Networks and Heterogeneous Media, vol.4, issue.2, pp.211-222, 2009.
DOI : 10.3934/nhm.2009.4.211

K. J. Beven, Prophecy, reality and uncertainty in distributed hydrological modelling, Advances in Water Resources, vol.16, issue.1, pp.41-51, 1993.
DOI : 10.1016/0309-1708(93)90028-E

L. A. Camacho and M. J. Lees, Multilinear discrete lag-cascade model for channel routing, Journal of Hydrology, vol.226, issue.1-2, pp.30-47, 1999.
DOI : 10.1016/S0022-1694(99)00162-6

V. T. Chow, Open-channel hydraulics, 1988.

J. A. Cunge, On The Subject Of A Flood Propagation Computation Method (Musklngum Method), Journal of Hydraulic Research, vol.104, issue.2, pp.205-230, 1969.
DOI : 10.1029/JZ064i012p02423

J. A. Cunge, F. M. Holly, and A. Verwey, Practical aspects of computational river hydraulics, 1980.

J. C. Dooge, J. J. Napiórkowski, and W. G. Strupczewski, The linear downstream response of a generalized uniform channel, Acta Geophys. Polon., XXXV, issue.3, pp.279-293, 1987.

S. Hayami, On the propagation of flood waves. report, Disaster Prevention Institute, 1951.

M. Lal and R. Mitra, A comparison of transfer function simplification methods, IEEE Transactions on Automatic Control, vol.19, issue.5, pp.617-618, 1974.
DOI : 10.1109/TAC.1974.1100642

X. Litrico, Nonlinear Diffusive Wave Modeling and Identification of Open Channels, Journal of Hydraulic Engineering, vol.127, issue.4, pp.313-320, 2001.
DOI : 10.1061/(ASCE)0733-9429(2001)127:4(313)

X. Litrico and V. Fromion, Frequency Modeling of Open-Channel Flow, Journal of Hydraulic Engineering, vol.130, issue.8, pp.806-815, 2004.
DOI : 10.1061/(ASCE)0733-9429(2004)130:8(806)

X. Litrico and V. Fromion, Modeling and control of hydrosystems, 2009.
DOI : 10.1007/978-1-84882-624-3

X. Litrico and D. Georges, Robust continuous-time and discrete-time flow control of a dam???river system. (I) Modelling, Applied Mathematical Modelling, vol.23, issue.11, pp.809-827, 1999.
DOI : 10.1016/S0307-904X(99)00014-1

X. Litrico and D. Georges, Robust continuous-time and discrete-time flow control of a dam???river system. (II) Controller design, Applied Mathematical Modelling, vol.23, issue.11, pp.829-846, 1999.
DOI : 10.1016/S0307-904X(99)00013-X

X. Litrico, V. Sergio, and E. Serrano, Discussion of ???Development and Verification of an Analytical Solution for Forecasting Nonlinear Kinematic Flood Waves??? by Sergio E. Serrano, Journal of Hydrologic Engineering, vol.12, issue.6, pp.347-353703, 2006.
DOI : 10.1061/(ASCE)1084-0699(2007)12:6(703)
URL : https://hal.archives-ouvertes.fr/hal-00453817

X. Litrico and J. Pomet, Nonlinear modeling and control of a long river stretch, European Control Conference, 2003.

P. Malaterre, Modélisation, analyse et commande optimale LQR d'un canal d'irrigation, 1994.

W. A. Miller and J. A. Cunge, Simplified equations of unsteady flow, Water Resources Publications, pp.183-257, 1975.

R. Moussa and C. Bocquillon, Criteria for the choice of flood-routing methods in natural channels, Journal of Hydrology, vol.186, issue.1-4, pp.1-30, 1996.
DOI : 10.1016/S0022-1694(96)03045-4

S. Munier, X. Litrico, G. Belaud, and P. Malaterre, Distributed approximation of open-channel flow routing accounting for backwater effects, Advances in Water Resources, vol.31, issue.12, pp.1590-1602, 2008.
DOI : 10.1016/j.advwatres.2008.07.007
URL : https://hal.archives-ouvertes.fr/hal-00682721

M. Perumal, T. Moramarco, and F. Melone, A caution about the multilinear discrete lag-cascade model for flood routing, Journal of Hydrology, vol.338, issue.3-4, pp.3-4308, 2007.
DOI : 10.1016/j.jhydrol.2007.02.022

V. M. Ponce and F. D. Theurer, Accuracy criteria in diffusion routing, J. of Hydraulics Division, vol.108, issue.HY6, pp.747-757, 1982.