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Amaury Hayat
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Lateral chirality-sorting optical forces
A Hayat, JPB Mueller, F Capasso
Proceedings of the National Academy of Sciences 112 (43), 13190-13194, 2015
2412015
Hypertree proof search for neural theorem proving
G Lample, T Lacroix, MA Lachaux, A Rodriguez, A Hayat, T Lavril, ...
Advances in neural information processing systems 35, 26337-26349, 2022
682022
A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope
A Hayat, P Shang
Automatica 100, 52-60, 2019
622019
PI controllers for 1-D nonlinear transport equation
JM Coron, A Hayat
IEEE Transactions on Automatic Control 64 (11), 4570-4582, 2019
402019
Boundary Stability of 1-D Nonlinear Inhomogeneous Hyperbolic Systems for the Norm
A Hayat
SIAM Journal on Control and Optimization 57 (6), 3603-3638, 2019
40*2019
Limitations and improvements of the intelligent driver model (IDM)
S Albeaik, A Bayen, MT Chiri, X Gong, A Hayat, N Kardous, A Keimer, ...
SIAM Journal on Applied Dynamical Systems 21 (3), 1862-1892, 2022
392022
Modeling tree growth taking into account carbon source and sink limitations
A Hayat, AJ Hacket-Pain, H Pretzsch, TT Rademacher, AD Friend
Frontiers in plant science 8, 232224, 2017
382017
Learning advanced mathematical computations from examples
F Charton, A Hayat, G Lample
arXiv preprint arXiv:2006.06462, 2020
37*2020
Exponential stability of density-velocity systems with boundary conditions and source term for the H2 norm
A Hayat, P Shang
Journal de mathématiques pures et appliquées 153, 187-212, 2021
272021
Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation
G Bastin, JM Coron, A Hayat, P Shang
Mathematical Models and Methods in Applied Sciences 29 (02), 271-316, 2019
272019
On boundary stability of inhomogeneous 2× 2 1-D hyperbolic systems for the C1 norm
A Hayat
ESAIM: Control, Optimisation and Calculus of Variations 25, 82, 2019
252019
PI controllers for the general Saint-Venant equations
A Hayat
Journal de l’École polytechnique — Mathématiques, 9, pp. 1431-1472., 2022
24*2022
Integrated framework of vehicle dynamics, instabilities, energy models, and sparse flow smoothing controllers
JW Lee, G Gunter, R Ramadan, S Almatrudi, P Arnold, J Aquino, ...
Proceedings of the Workshop on Data-Driven and Intelligent Cyber-Physical …, 2021
212021
Input-to-state stability in sup norms for hyperbolic systems with boundary disturbances
G Bastin, JM Coron, A Hayat
Nonlinear Analysis 208, 112300, 2021
182021
Stabilization of the linearized water tank system
JM Coron, A Hayat, S Xiang, C Zhang
Archive for Rational Mechanics and Analysis 244 (3), 1019-1097, 2022
172022
Feedforward boundary control of 2× 2 nonlinear hyperbolic systems with application to Saint-Venant equations
G Bastin, JM Coron, A Hayat
European Journal of Control 57, 41-53, 2021
162021
A rigorous multi-population multi-lane hybrid traffic model for dissipation of waves via autonomous vehicles
N Kardous, A Hayat, ST McQuade, X Gong, S Truong, T Mezair, P Arnold, ...
The European Physical Journal Special Topics 231 (9), 1689-1700, 2022
14*2022
Boundary feedback stabilization of hydraulic jumps
G Bastin, JM Coron, A Hayat, P Shang
IFAC Journal of Systems and Control 7, 100026, 2019
142019
Fredholm transformation on Laplacian and rapid stabilization for the heat equation
L Gagnon, A Hayat, S Xiang, C Zhang
Journal of Functional Analysis 283 (12), 109664, 2022
112022
Dissipation of traffic jams using a single autonomous vehicle on a ring road
A Hayat, B Piccoli, S Truong
SIAM Journal on Applied Mathematics 83 (3), 909-937, 2023
102023
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