I have done some research on traffic modeling and control. The traffic models that I have studied include uncertain discrete-time models as well as models described by hyperbolic PDEs. Here is a list of papers that contain results on traffic modeling and control.
I. Karafyllis and M. Papageorgiou, “Global Exponential Stability for Discrete-Time Networks with Applications to Traffic Networks”, IEEE Transactions on Control of Network Systems, 2(1), 2015, pp. 68-77.
I. Karafyllis, M. Kontorinaki and M. Papageorgiou, “Global Exponential Stabilization of Freeway Models”, International Journal of Robust and Nonlinear Control, 26(6), 2016, pp. 1184-1210.
I. Karafyllis and M. Papageorgiou, “Stability Results for Simple Traffic Models Under PI-Regulator Control”, IMA Journal of Mathematical Control and Information, 33(2), 2016, pp. 209-229.
I. Karafyllis, M. Kontorinaki and M. Papageorgiou, “Robust Global Adaptive Exponential Stabilization of Discrete-Time Systems with Application to Freeway Traffic Control”, IEEE Transactions on Automatic Control, 62(12), 2017, pp. 6195-6208.
I. Karafyllis and M. Papageorgiou, “Feedback Control of Scalar Conservation Laws with Application to Density Control in Freeways by Means of Variable Speed Limits”, Automatica, 105, 2019, pp. 228-236.
M. Kontorinaki, I. Karafyllis and M. Papageorgiou, “Global Exponential Stabilization of Acyclic Traffic Networks”, International Journal of Control, 92(3), 2019, pp. 564-584.
I. Karafyllis, N. Bekiaris-Liberis and M. Papageorgiou, “Feedback Control of Nonlinear Hyperbolic PDE Systems Inspired by Traffic Flow Models”, IEEE Transactions on Automatic Control, 64(9), 2019, pp. 3647-3662.
I. Karafyllis, D. Theodosis and M. Papageorgiou, “Analysis and Control of a Non-Local PDE Traffic Flow Model”, International Journal of Control, 95(3), 2022, pp. 660-678.