Research
Journal Papers
A PDE-ODE model for traffic control with autonomous vehicles; T. Liard, R. Stern and M.L Delle Monache, Networks and Heterogeneous Media 2023, Volume 18, Issue 3: 1190-1206 (2023).
Super-twisting sliding mode control for the stabilization of a linear hyperbolic system; I. Balogoun, S. Marx, T. Liard, F. Plestan, IEEE Control Systems Letters, vol. 7, pp. 1-6, doi: 10.1109/LCSYS.2022.3186230 (2023).
Analysis and numerical solvability of backward-forward conservation laws; T.Liard and E. Zuazua, SIAM Journal on Mathematical Analysis, Vol. 55, No. 4. pp. 1949-1968, doi:10.1137/22M147872 (2023).
Boundary sliding mode control of a system of linear hyperbolic equations: a Lyapunov approach; T. Liard, I. Balogoun, S. Marx, F. Plestan, Automatica, Volume 135, 109964 (2022).
Initial data identification for the one-dimensional Burgers equation; T.Liard and E. Zuazua, IEEE Transactions on Automatic Control, doi: 10.1109/TAC.2021.309621 (2021).
On entropic solutions to conservation laws coupled with moving bottlenecks; T.Liard and B.Piccoli, Communications in Mathematical Sciences, Vol. 19, No. 4. pp. 919-945 (2021).
A controlled multiscale model for traffic regulation via autonomous vehicles; M. Garavello, P. Goatin, T. Liard and B. Piccoli, J. Differential Equations, https://doi.org/10.1016/j.jde.2020.04.031 (2020).
Traffic reconstruction using autonomous vehicles; M.L. Delle Monache, T.Liard, B. Piccoli, R. Stern, D. Work. SIAM Journal on Applied Mathematics, Vol. 79, No. 5. pp. 1748-1767 (2019).
Well-posedness for scalar conservation laws with moving flux constraints; Thibault Liard and Benedetto Piccoli. SIAM Journal on Applied Mathematics. No. 2. pp 641--667 (2019).
Non-localization of eigenfunctions for Sturm-Liouville operators ; Thibault Liard, Pierre Lissy and Yannick Privat. J. Differential Equations 264, no. 4, 2449--2494 (2018).
A Kalman rank condition for the indirect controllability of coupled systems of linear operator groups; Thibault Liard and Pierre Lissy. P. Math. Control Signals Syst. 29: 9. https://doi.org/10.1007/s00498-017-0193-x (2017).
How to estimate observability constants of one-dimensional wave equations? Propagation versus Spectral methods ; Alain Haraux, Thibault Liard and Yannick Privat. J. Evol. Eq. 16, 825--856 (2016).
Book chapter
Feedback control algorithms for the dissipation of traffic waves with autonomous vehicle; M.L Delle Monache, T. Liard, A. Rat, R. Stern, R. Badhani, B. Seibold, J. Sprinkle, D. Work, B. Piccoli. Computational Intelligence and Optimization Methods for Control Engineering, part of the Springer Optimization and Its Applications book series (SOIA, volume 150) (2019).
Proceedings
Optimal driving strategies for traffic control with autonomous vehicles; T.Liard, R.Stern and M.L Delle Monache. IFAC World Congress, Berlin, Germany, IFAC-PapersOnLine, 53(2), 5322-5329 (2020).
The Riemann Problem for the GARZ Model with a moving constraint; T.Liard, F. Marcellini, B. Piccoli. XVII International Conference (HYP2018) on Hyperbolic Problem, vol 10, pages 524-530 (2018).
Preprints
A multiscale second order model for the interaction between AV and traffic flows: analysis and existence of solutions; A. Hayat, T. Liard, B. Piccoli (preprint 2022)
Stabilization of conservation laws for G-solutions with application to traffic flow; T. Liard, S. Marx, V. Perrollaz (work in progress 2023)