N. Bekiaris-liberis, C. Roncoli, and M. Papageorgiou, Highway Traffic State Estimation With Mixed Connected and Conventional Vehicles, IEEE Transactions on Intelligent Transportation Systems, vol.17, issue.12, pp.3484-3497, 2016.
DOI : 10.1109/TITS.2016.2552639

URL : http://arxiv.org/pdf/1504.06879

S. Blandin, A. Couque, A. Bayen, and D. Work, On sequential data assimilation for scalar macroscopic traffic flow models, Physica D: Nonlinear Phenomena, vol.241, issue.17, pp.2411421-1440, 2012.
DOI : 10.1016/j.physd.2012.05.005

G. Bretti, R. Natalini, and B. Piccoli, Numerical approximations of a traffic flow model on networks. Networks and Heterogeneous Media, pp.57-84, 2006.

E. S. Canepa and C. G. , Networked traffic state estimation involving mixed fixed-mobile sensor data using Hamilton-Jacobi equations, Transportation Research Part B: Methodological, vol.104, 2016.
DOI : 10.1016/j.trb.2017.05.016

URL : http://arxiv.org/pdf/1606.03332

C. F. Daganzo, The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory, Transportation Research Part B: Methodological, vol.28, issue.4, pp.269-287, 1994.
DOI : 10.1016/0191-2615(94)90002-7

C. F. Daganzo, The cell transmission model, part II: Network traffic, Transportation Research Part B: Methodological, vol.29, issue.2, pp.79-93, 1995.
DOI : 10.1016/0191-2615(94)00022-R

W. Deng, H. Lei, and X. Zhou, Traffic state estimation and uncertainty quantification based on heterogeneous data sources: A three detector approach, Transportation Research Part B: Methodological, vol.57, pp.132-157, 2013.
DOI : 10.1016/j.trb.2013.08.015

N. E. Faouzi, H. Leung, and A. Kurian, Data fusion in intelligent transportation systems: Progress and challenges ??? A survey, Information Fusion, vol.12, issue.1, pp.4-10, 2011.
DOI : 10.1016/j.inffus.2010.06.001

M. Garavello, K. Han, and B. Piccoli, Models for vehicular traffic on networks, 2016.

P. Grandinetti, F. Garin, and C. Canudas-de-wit, Towards scalable optimal traffic control, 2015 54th IEEE Conference on Decision and Control (CDC), pp.2016-2175, 2016.
DOI : 10.1109/CDC.2015.7402529

URL : https://hal.archives-ouvertes.fr/hal-01188811

J. Lebacque, The Godunov scheme and what it means for first order traffic flow models, International Symposium on Transportation and Traffic Theory, pp.647-677, 1996.

M. J. Lighthill and G. B. Whitham, On Kinematic Waves. II. A Theory of Traffic Flow on Long Crowded Roads, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.229, issue.1178, pp.317-345, 1178.
DOI : 10.1098/rspa.1955.0089

E. Lovisari, C. Canudas-de-wit, and A. Y. Kibangou, Data fusion algorithms for density reconstruction in road transportation networks, 2015 54th IEEE Conference on Decision and Control (CDC), pp.2804-2809, 2015.
DOI : 10.1109/CDC.2015.7402641

URL : https://hal.archives-ouvertes.fr/hal-01185523

E. Lovisari, C. Canudas-de-wit, and A. Y. Kibangou, Density/Flow reconstruction via heterogeneous sources and Optimal Sensor Placement in road networks, Transportation Research Part C: Emerging Technologies, vol.69, pp.451-476, 2016.
DOI : 10.1016/j.trc.2016.06.019

URL : https://hal.archives-ouvertes.fr/hal-01375928

F. Morbidi, L. L. Ojeda, and C. , Canudas de Wit, and I. Bellicot. A new robust approach for highway traffic density estimation, 2014 European Control Conference (ECC), pp.2575-2580, 2014.

G. Newell, A simplified theory of kinematic waves in highway traffic, part II: Queueing at freeway bottlenecks, Transportation Research Part B: Methodological, vol.27, issue.4, pp.289-303, 1993.
DOI : 10.1016/0191-2615(93)90039-D

P. I. Richards, Shock Waves on the Highway, Operations Research, vol.4, issue.1, pp.42-51, 1956.
DOI : 10.1287/opre.4.1.42

T. Seo, A. M. Bayen, T. Kusakabe, and Y. Asakura, Traffic state estimation on highway: A comprehensive survey, Annual Reviews in Control, vol.43, pp.128-151, 2017.
DOI : 10.1016/j.arcontrol.2017.03.005

Y. Wang, M. Papageorgiou, and A. Messmer, RENAISSANCE ??? A unified macroscopic model-based approach to real-time freeway network traffic surveillance, Transportation Research Part C: Emerging Technologies, vol.14, issue.3, pp.190-212, 2006.
DOI : 10.1016/j.trc.2006.06.001

Y. Wang, M. Papageorgiou, A. Messmer, P. Coppola, A. Tzimitsi et al., An adaptive freeway traffic state estimator, Automatica, vol.45, issue.1, pp.10-24, 2009.
DOI : 10.1016/j.automatica.2008.05.019

URL : https://art.torvergata.it/bitstream/2108/18275/5/AUTOMATICA.pdf

D. B. Work, S. Blandin, O. P. Tossavainen, B. Piccoli, and A. Bayen, A Traffic Model for Velocity Data Assimilation, Applied Mathematics Research eXpress, vol.39, issue.1, pp.20101-20136, 2010.
DOI : 10.1287/opre.4.1.42