]. V. Abadie and G. Dauphin-tanguy, Elaboration of a control law for switching nonlinear systems, Journal of the Franklin Institute, vol.330, issue.4, pp.685-693, 1993.
DOI : 10.1016/0016-0032(93)90047-X

]. W. Adams, ROAD TRAFFIC CONSIDERED AS A RANDOM SERIES. (INCLUDES PLATES)., Journal of the Institution of Civil Engineers, vol.4, issue.1, pp.121-130, 1936.
DOI : 10.1680/ijoti.1936.14802

]. T. Airimitoaie, D. Popescu, F. G. Filip, and C. Dimon, Advanced control and optimization for thermo-energetic installations, 2009 5th International Symposium on Applied Computational Intelligence and Informatics, 2010.
DOI : 10.1109/SACI.2009.5136217

]. T. Airimitoaie and C. Dimon, Robust control and optimization for thermo-energetic installations, Proceedings of the 17 th CSCS Conference, 2009.
DOI : 10.3182/20090506-3-SF-4003.00006

]. A. Alessandri, A. D. Febbaro, A. Ferrara, and E. Punta, Optimal control of freeways via speed signalling and ramp metering, Control Engineering Practice, vol.6, issue.6, 1998.
DOI : 10.1016/S0967-0661(98)00083-5

]. A. Aw and M. Rascle, Resurrection of "Second Order" Models of Traffic Flow, SIAM Journal on Applied Mathematics, vol.60, issue.3, pp.916-938, 2000.
DOI : 10.1137/S0036139997332099

]. A. Aw, A. Klar, T. Materne, and M. Rascle, Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models, SIAM Journal on Applied Mathematics, vol.63, issue.1, 2002.
DOI : 10.1137/S0036139900380955

]. C. Bardos, A. Leroux, and J. Nedelec, First order quasilinear equations with bounday conditions, Communications in Partial Differential Equations, 1979.

]. G. Bastin and V. Guffens, Congestion control in compartmental network systems, Systems & Control Letters, vol.55, issue.8, pp.689-696, 2006.
DOI : 10.1016/j.sysconle.2005.09.015

E. Revue and C. Special, Sur la modélisation et le contrôle des réseaux dynamiques conservatifs, 2006.

M. Akiva, D. Bierlaire, H. N. Burton, R. Koutsopoulos, and . Mishalani, Network State Estimation and Prediction for Real-Time Transportation Mangement Applications, Networks and Spatial Economics, vol.1, issue.3/4, pp.293-318
DOI : 10.1023/A:1012883811652

]. S. Benmansour, A. Benabdelhafid, J. Boukachour, and D. Boudebous, Bond graph robust modeling approach for traffic flow, The Mediterranean Journal of Measurement and Control, vol.3, issue.2, 2007.

]. L. Benvenuti and L. Farina, Positive and compartmental systems, IEEE Transactions on Automatic Control, vol.47, issue.2, pp.370-373, 2002.
DOI : 10.1109/9.983382

]. E. Brockfeld, R. Barlovic, A. Schadschneider, and M. Schreckenberg, Optimizing traffic lights in a cellular automaton model for city traffic, Physical Review E, vol.64, issue.5, 2001.
DOI : 10.1103/PhysRevE.64.056132

]. D. Bui, P. Nelson, and S. Narasimhan, Computational realizations of the entropy condition in modelling congested traffic flow, 1992.

]. C. Buisson, J. Lebacque, and J. Lesort, Strada, a discretized macroscopic model of vehicular flow in complex networks based on the Godunov scheme, Proceedings of the CESA'96 IEEE Conference, 1996.

]. S. Buta and A. I. Udrea, Modeling and control of urban traffic ? A conservative networks approach, 12th LSS Symposium : Theory and Applications, 2010.

]. S. Buta, Modelarea si controlul traficului urban folosind retele conservative, 2011.

]. R. Chandler, R. Herman, and E. W. , Traffic Dynamics: Studies in Car Following, Operations Research, vol.6, issue.2, pp.165-184, 1958.
DOI : 10.1287/opre.6.2.165

]. G. Coclite, M. Garavello, and B. Piccoli, Traffic Flow on a Road Network, SIAM Journal on Mathematical Analysis, vol.36, issue.6, 2005.
DOI : 10.1137/S0036141004402683

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

. C. Daganzo and . Daganzo, Requiem for second-order fluid approximations of traffic flow, Transportation Research Part B: Methodological, vol.29, issue.4
DOI : 10.1016/0191-2615(95)00007-Z

. C. Dimon, G. Dimon, D. Dauphin-tanguy, and . Popescu, Modeling, control and robustness analysis for a road sector, IFAC Proceedings Volumes, vol.43, issue.17
DOI : 10.3182/20100908-3-PT-3007.00067

URL : https://hal.archives-ouvertes.fr/hal-00758742

. C. Dimon, T. B. Dimon, F. G. Airimitoaie, and . Filip, Hierarchical Control Structure for Thermoenergetical Processes, 12th LSS Symposium : Theory and Applications
DOI : 10.3182/20100712-3-FR-2020.00043

. C. Dimon, D. Dimon, and . Popescu, Modélisation et simulation des barrages hydro-énergétiques, 6ème CIFA Conférence

]. C. Dimon, G. Dauphin-tanguy, and E. Ghita, Control strategy for urban traffic in a macroscopic approach, Proceedings of the 18 th CSCS Conference, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00758740

]. C. Dimon, G. Dauphin-tanguy, and D. Popescu, Macroscopic Modeling of Road Traffic by Using Hydrodynamic Flow Models, th Mediterranean Conference on Control and Automation, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00758733

]. L. Farina, Positive systems in the state space approach: main issues and recent results, Proceedings of 15 th International Symposium on Mathematical Theory of Networks and Systems, 2002.

]. T. Forbes, Human Factor Considerations in Traffic Flow Theory, Highway Research Board, pp.60-66, 1963.

]. M. Garavello and B. Piccoli, Source-Destination Flow on a Road Network, Communications in Mathematical Sciences, vol.3, issue.3, 2005.
DOI : 10.4310/CMS.2005.v3.n3.a1

]. C. Gawron, Simulation-Based Traffic Assignment; Computing User Equilibria in Large Street Networks, 1998.

]. E. Ghita, Projet de fin d'études : Sliding Mode Control, 2010.

]. S. Godunov, A Difference Scheme for Numerical Solution of Discontinuous Solution of Hydrodynamic Equations, Matematicheskii Sbornik, pp.47-271, 1959.

]. J. Greenberg, Extensions and Amplifications of a Traffic Model of Aw and Rascle, SIAM Journal on Applied Mathematics, vol.62, issue.3, 2001.
DOI : 10.1137/S0036139900378657

]. B. Greenshields, A Study in Highway Capacity, Highway Research Board, Proceedings, p.458, 1935.

]. B. Greenshields, D. Schapiro, and E. L. Erickson, Traffic Performance at Urban Intersections, Bureau of Highway Traffic, 1947.

]. A. Hegyi, B. De-schutter, H. Hellendoorn, T. Van-den, and . Boom, Optimal coordination of ramp metering and variable speed controlan MPC approach, Proceedings of the American Control Conference, pp.3600-3605, 2002.

]. M. Herty and M. Rascle, Coupling Conditions for a Class of Second-Order Models for Traffic Flow, SIAM Journal on Mathematical Analysis, vol.38, issue.2, 2006.
DOI : 10.1137/05062617X

]. H. Holden and N. Risebro, A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads, SIAM Journal on Mathematical Analysis, vol.26, issue.4, 1995.
DOI : 10.1137/S0036141093243289

]. S. Hoogendoorn and P. H. Bovy, State-of-the-art of vehicular traffic flow modelling, Proceedings of the I MECH E Part I Journal of Systems & Control Engineering, pp.283-303, 2001.
DOI : 10.1177/095965180121500402

]. R. Jayakrishnan, H. S. Mahmassani, and T. Y. Hu, An evaluation tool for advanced traffic information and management systems in urban networks, Transportation Research Part C: Emerging Technologies, vol.2, issue.3, pp.129-147, 1994.
DOI : 10.1016/0968-090X(94)90005-1

]. W. Jin and H. M. Zhang, The Inhomogeneous Kinematic Wave Traffic Flow Model as a Resonant Nonlinear System, Transportation Science, vol.37, issue.3, 2003.
DOI : 10.1287/trsc.

]. P. Kachroo and K. Krishen, System Dynamics and Feedback Control Design Problem Formulations for Real Time Ramp Metering, Transactions of Society for Design and Process Science, 2000.

]. D. Karnopp and R. Rosenberg, System Dynamics: A Unified Approach, IEEE Transactions on Systems, Man, and Cybernetics, vol.6, issue.10, 1975.
DOI : 10.1109/TSMC.1976.4309434

]. B. Kerner, The physics of traffic, Physics World Magazine, vol.12, pp.23-25, 1999.

]. B. Kerner, Phase Transitions in Traffic Flow, Traffic and Granular Flow, pp.253-283, 2000.
DOI : 10.1007/978-3-642-59751-0_25

]. B. Kerner and P. Konhauser, Cluster effect in initially homogeneous traffic flow, Physical Review E, vol.48, issue.4, 1993.
DOI : 10.1103/PhysRevE.48.R2335

]. A. Kotsialos and M. Papageorgiou, Nonlinear Optimal Control Applied to Coordinated Ramp Metering, IEEE Transactions on Control Systems Technology, vol.12, issue.6, 2004.
DOI : 10.1109/TCST.2004.833406

]. I. Landau and G. Zito, Digital Control Systems -Design, Identification and Implementation, 2006.
URL : https://hal.archives-ouvertes.fr/hal-01394128

]. P. Lax, Hyperbolic systems of conservation laws and the mathematical theory of shock waves, SIAM Regional conference series in applied mathematics, vol.11, 1973.

]. J. Lebacque, Semimacroscopic simulation of urban traffic, AMSE International Minneapolis Summer Conference, 1984.

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

]. J. Lebacque, A finite acceleration scheme for first order macroscopic traffic flow models, Proceedings of the 8th IFAC symposium on transportation systems, 1997.

]. J. Lebacque and M. Khoshyaran, First-order Macroscopic Traffic Flow Models, Proceedings of the 16th ISTTT, 2005.
DOI : 10.1016/B978-008044680-6/50021-0

. J. Lebacque, H. Lebacque, S. Haj-salem, and . Mammar, Second order traffic flow modeling: supply-demand analysis of the inhomogeneous Riemann problem and of boundary conditions, Proceedings of the 10th Euro Working Group on Transportation (EWGT)

]. J. Leitloff, S. Hinz, and U. Stilla, Detection of vehicle queues in Quickbird imagery of city areas, Photogrammtrie Fernerkundung Geoinformation, vol.4, pp.315-325, 2006.

]. C. Leo and R. Pretty, Numerical simulation of macroscopic continuum traffic models, Transportation Research Part B: Methodological, vol.26, issue.3, 1992.
DOI : 10.1016/0191-2615(92)90025-R

]. D. Leonard, P. Power, and N. B. Taylor, CONTRAM: structure of the model, Transportation Research Laboratory, 1989.

]. M. Lighthill and G. B. Whitham, On Kinematic Waves. II. A Theory of Traffic Flow on Long Crowded Roads, Proceedings of the Royal Society, pp.317-345, 1955.
DOI : 10.1098/rspa.1955.0089

]. D. Longley, A control strategy for a congested computer-controlled traffic network, Transportation Research, vol.2, issue.4, pp.391-408, 1968.
DOI : 10.1016/0041-1647(68)90104-4

]. C. Lupu, A. Udrea, D. Popescu, C. Petrescu, A. Ticlea et al., Solutii practice de conducere a proceselor neliniare, pp.978-606, 2010.

]. S. Maerivoet, B. De, and . Moor, Cellular automata models of road traffic, Physics Reports, vol.419, issue.1, pp.1-64, 2005.
DOI : 10.1016/j.physrep.2005.08.005

]. M. Mahut, A multi-lane extension of the Space-Time Queue Model of Traffic Dynamics, 2001.

]. M. Mahut, M. Florian, and N. Tremblay, Space-Time Queues and Dynamic Traffic Assignment: A model, algorithm and applications, Transportation Research Board, 2003.

]. S. Mammar, J. Lebacque, and H. Haj-salem, Resolution of Aw, Rascle & Zhang macroscopic second order traffic flow, Proceedings of the 4th IMA conference on Mathematics in Transportation, 2005.

]. F. Meyer, S. Hinz, R. Müller, G. Palubinskas, C. Laux et al., Towards traffic monitoring with TerraSAR-X, Canadian Journal of Remote Sensing, vol.44, issue.1, pp.39-51, 2007.
DOI : 10.5589/m07-006

]. P. Michalopoulos, D. E. Beskos, and J. K. Lin, Analysis of interrupted traffic flow by finite difference methods, Transportation Research Part B: Methodological, vol.18, issue.4-5, 1984.
DOI : 10.1016/0191-2615(84)90021-3

]. M. Mircioiu, E. M. Cimpoesu, and C. Dimon, Robust control and optimization for a petrochemical pyrolysis reactor, 18th Mediterranean Conference on Control and Automation, MED'10, 2010.
DOI : 10.1109/MED.2010.5547645

]. R. Mohler, Nonlinear systems Application to bilinear control, 1992.

]. K. Nagel and M. Schreckenberg, A cellular automaton model for freeway traffic, Journal de Physique I, vol.2, issue.12, pp.2221-2229, 1992.
DOI : 10.1051/jp1:1992277

URL : https://hal.archives-ouvertes.fr/jpa-00246697

]. G. Palubinskas and P. Reinartz, Traffic classification and speed estimation in time series of airborne optical remote sensing images, IAPRS, 2003.

]. M. Papageorgiou, H. Hadj-salem, and J. Blosseville, ALINEA: A local feedback control law for on-ramp metering, Transportation Research Record, vol.1320, 1991.

]. M. Papageorgiou, H. Haj-salem, and F. Middelham, ALINEA Local Ramp Metering: Summary of Field Results, Transportation Research Record: Journal of the Transportation Research Board, vol.1603, issue.1603, pp.90-98, 1998.
DOI : 10.3141/1603-12

]. H. Payne, Models of freeway traffic and control, Math. Models Publ. Sys, vol.28, pp.51-61, 1971.

]. L. Pipes, An Operational Analysis of Traffic Dynamics, Journal of Applied Physics, vol.24, issue.3, pp.274-281, 1953.
DOI : 10.1063/1.1721265

]. L. Pipes, Car following models and the fundamental diagram of road traffic, Transportation Research, vol.1, issue.1, 1967.
DOI : 10.1016/0041-1647(67)90092-5

]. D. Popescu, C. Dimon-ed, . Aosr, and . Bucuresti, Automatizari industriale si conducere de proces, 2011.

]. A. Pottmeier, R. Barlovic, W. Knospe, A. Schadschneider, and M. Schreckenberg, Localized defects in a cellular automaton model for traffic flow with phase separation, pp.471-482, 2002.

]. U. Prasanna, M. Srinivas, and L. Umanand, Macroscopic model of city traffic using bondgraph modeling, Int. J. Engineering Systems Modelling and Simulation, vol.1, issue.23, 2009.

]. H. Preizig, Modelling: Compartmental networks and topologies a comparison with bond graphs, Computer Aided Chemical Engineering, vol.18, pp.1111-1116, 2004.
DOI : 10.1016/S1570-7946(04)80251-7

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

]. D. Rosenbaum, F. Kurz, U. Thomas, S. Suri, and P. Reinartz, Towards automatic near real-time traffic monitoring with an airborne wide angle camera system, European Transport Research Review, vol.54, issue.2, pp.11-21, 2009.
DOI : 10.1007/s12544-008-0002-1

]. R. Rosenberg and D. Karnopp, Introdcution to Physical System Dynamics, 1983.

]. J. Wardrop, CORRESPONDENCE. SOME THEORETICAL ASPECTS OF ROAD TRAFFIC RESEARCH., Proceedings of the Institution of Civil Engineers, pp.325-362, 1952.
DOI : 10.1680/ipeds.1952.11362

]. R. Wiedemann, Simulation des Straßenverkehrsflußes, 1974.

]. G. Whitham, Linear and nonlinear waves, 1974.

]. H. Zhang, W. Ritchie, and R. Jayakrishnan, Coordinated traffic-responsive ramp control via nonlinear state feedback, Transportation Research Part C: Emerging Technologies, vol.9, issue.5, 2001.
DOI : 10.1016/S0968-090X(00)00044-9

]. H. Zhang, A non-equilibrium traffic model devoid of gas-like behavior, Transportation Research Part B: Methodological, vol.36, issue.3, pp.275-190, 2002.
DOI : 10.1016/S0191-2615(00)00050-3

]. H. Zhang and W. L. Jin, Kinematic Wave Traffic Flow Model for Mixed Traffic, Transportation Research Record: Journal of the Transportation Research Board, vol.1802, pp.197-204, 2002.
DOI : 10.3141/1802-22

]. L. Zhang and D. Levinson, Optimal freeway ramp control without origindestination information, Transportation Research Part B: Methodological, vol.38, issue.10, 2004.
DOI : 10.1016/j.trb.2003.11.003

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=