[1. Ahmadi, M., Khayatian, A., Karimaghaee, P. (2012) Attitude estimation by divided difference filter in quaternion space, Acta Astronautica, 75, 95–107.10.1016/j.actaastro.2011.12.022]Search in Google Scholar
[2. Al-Sobky, A.A., Ragab, M. (2016) Traffic density determination and its applications using smartphone, Alexandria Engineering Journal, 513-523.10.1016/j.aej.2015.12.010]Search in Google Scholar
[3. Bar-Shalom, Y., Li, X.R., Kirubarajan, T. (2001) Estimation with Applications to Tracking and Navigation. John Wiley & Sons, Inc.10.1002/0471221279]Search in Google Scholar
[4. Box, J. (1965) A new method of constrained optimization and a comparison with other methods, Computer Journal, 8, 42–52.10.1093/comjnl/8.1.42]Search in Google Scholar
[5. Grewal, M.S., Payne, H.J. (1976) Identification of parameters in a freeway traffic model, IEEE Transportation Systems, Man and Cybernetics, 6(3), 176–185.10.1109/TSMC.1976.5409233]Search in Google Scholar
[6. Hegyi, A., Girimonte, D., Babuska, R., De Schutter, B. (2006) A comparison of filter configurations for freeway traffic state estimation. In: Proceedings IEEE ITSC, Toronto, ON, Canada, 1029–1034.10.1109/ITSC.2006.1707357]Search in Google Scholar
[7. Jwo, D.J., Hsieh, M.Y., Lai, S.Y. (2010) GPS navigation processing using the quaternion-based divided difference filter”, GPS Solutions, 14, 217-228.10.1007/s10291-009-0136-1]Search in Google Scholar
[8. Knapp, C.H. (1972) Traffic estimation and control of bottlenecks. In: Proceedings of IEEE Systems, Men and Cybernetics Conference.]Search in Google Scholar
[9. Kotsialos, A., Papageorgiou, M. (2002) Traffic Flow Modeling of Large-Scale Motorway Networks Using the Macroscopic Modeling Tool METANET, IEEE Transactions on Intelligent Transportation Systems, 3(4), 282–292.10.1109/TITS.2002.806804]Search in Google Scholar
[10. Marchesini, P., Weijermars, W. (2010) The relationship between road safety and congestion on motorways. SWOV Institute for Road Safety Research, the Netherlands, Leidschendam.]Search in Google Scholar
[11. Mihaylova, L., Boel, R. (2004) A particle filter for freeway traffic estimation. In: Proceedings of the 43rd IEEE Conference on Decision and Control, 2106–2111.10.1109/CDC.2004.1430359]Search in Google Scholar
[12. Mihaylova, L., Boel, R., Hegyi, A. (2006) An Unscented Kalman filter for freeway traffic estimation. In: Proceedings of 11th IFAC Symposium on Control in Transportation Systems, 31-36.10.3182/20060829-3-NL-2908.00006]Search in Google Scholar
[13. Nahi, N.E., Trivedi, A.N. (1973) Recursive estimation of traffic variables: section density and average speed, Transportation Science, 7, 269–286.10.1287/trsc.7.3.269]Search in Google Scholar
[14. NGSIM dataset, (2005) - http://ops.fhwa.dot.gov/trafficanalysistools/ngsim.htm]Search in Google Scholar
[15. Nørgaard, M., Poulsen, N. K., Ravn, O. (2000) New developments in state estimation for nonlinear systems, Automatica, 36, 1627–1638.10.1016/S0005-1098(00)00089-3]Search in Google Scholar
[16. Ouessai, A., Keche, M. (2015) Development of road traffic flow model for nighttime conditions. In: Proceedings of IEEE 3rd International Conference on Control, Engineering & Information Technology (CEIT), 1-6.10.1109/CEIT.2015.7233107]Search in Google Scholar
[17. Ouessai, A., Keche, M., Ouamri, A. (2013a) Road traffic congestion estimation with macroscopic parameters. In: Proceedings of IEEE 11th International Symposium on Programming and systems, 29-34.]Search in Google Scholar
[18. Ouessai, A., Keche, M., Ouamri, A. (2013b) Road traffic density estimation using microscopic and macroscopic parameters, Journal of Image and Vision Computing, 31, 887–894.10.1016/j.imavis.2013.09.006]Search in Google Scholar
[19. Pueboobpaphan, R., Nakatsuji, T. (2006) Real-time traffic state estimation on urban road network: The application of unscented Kalman filter. In: Proceedings of 9th International Conference of Application of Advanced Technology in Transportation Chicago, 542–547.10.1061/40799(213)86]Search in Google Scholar
[20. Salhi, H., Bouani, F. (2017) Experimental implementation of MIMO model predictive controllerbased second order divided difference filter for nonlinear systems, International. Journal of Modelling, Identification and Control, 27 (3), 191–199.10.1504/IJMIC.2017.083781]Search in Google Scholar
[21. Seo, T., Bayen, A. M., Kusakabe, T., Asakura, Y. (2017) Traffic state estimation on highway: A comprehensive survey, Annual reviews in control, 43(1), 128-151.10.1016/j.arcontrol.2017.03.005]Search in Google Scholar
[22. Seo, T., Kusakabe. T., Asakura, Y. (2015) Traffic state estimation with the advanced probe vehicles using data assimilation. In: Proceedings of IEEE 18th International Conference on Intelligent Transportation Systems, 824–830.10.1109/ITSC.2015.139]Search in Google Scholar
[23. Thai, J., Bayen, A. M. (2015) State Estimation for Polyhedral Hybrid Systems and Applications to the Godunov Scheme for Highway Traffic Estimation, IEEE Transactions on Automatic Control, 60, 311-326.10.1109/TAC.2014.2342151]Search in Google Scholar
[24. UCSD (2005) - http://www.svcl.ucsd.edu.]Search in Google Scholar
[25. Wang, Y., Papageorgiou, M. (2003) Motorway traffic state estimation based on extended Kalman filter. In: proceedings of European Control Conference (ECC), 1934-1939.10.23919/ECC.2003.7085249]Search in Google Scholar
[26. Wang, Y., Papageorgiou, M. (2005) Real-time freeway traffic state estimation based on extended Kalman filter: a general approach, Transportation Research Part B, 39(2), 141-167.10.1016/j.trb.2004.03.003]Search in Google Scholar
[27. Wang, Y., Papageorgiou, M., Messmer, A. (2008) Real-time freeway traffic state estimation based on extended Kalman filter: Adaptive capabilities and real data testing, Transportation Research Part A, 42, 1340-1358.10.1016/j.tra.2008.06.001]Search in Google Scholar
[28. Work, D.B., Tossavainen, O.P., Blandin, S., Tracton, K. (2008) An Ensemble Kalman Filtering approach to highway traffic estimation using GPS enabled mobile devices. In: Proceedings of the 47th IEEE Conference on Decision and Control, 5062-5068.10.1109/CDC.2008.4739016]Search in Google Scholar
[29. Wu, C., Han, C. (2008) Second-order Divided Difference Filter with Application to Ballistic Target Tracking. In: Proceedings of the 7th World Congress on Intelligent Control and Automation, 6342-6347.]Search in Google Scholar
[30. Yuan, Y., Van Lint, H., Van Wageningen-Kessels, F., Hoogendoorn, S. (2014) Network-wide traffic state estimation using loop detector and floating car data, Journal of Intelligent Transportation Systems, 18 (1), 41–50.10.1080/15472450.2013.773225]Search in Google Scholar