Personal profile
Personal profile
He is currently a Professor at École nationale des Ponts et Chaussées - Institut Polytechnique de Paris (since 2023) and a permanent researcher at CERMICS (since 2019). He is also a visiting researcher at the Korean Institute for Advanced Studies (KIAS Scholar) since 2025 and holds an internal chair at Hi!Paris (Institut Polytechnique de Paris) in AI for Mathematics.
In 2019–2020, he was a research associate at Rutgers University, working with Benedetto Piccoli, while on leave from École des Ponts. Previously, he completed his PhD at the Jacques-Louis Lions Laboratory (Sorbonne University, UPMC) under the supervision of Jean-Michel Coron and co-supervised by Sébastien Boyaval (Laboratory of Hydraulics of Saint-Venant, École des Ponts Institut Polytechnique de Paris).
He had the opportunity to undertake long-term visiting stays at the Forschungsinstitut für Mathematik at ETH Zürich in 2017, and at the Department of Mathematics of Tongji University in 2018. He also visited the Mathematics Department at EPFL in 2022, the Department of Mathematical Sciences at Rutgers University-Camden in 2022 (short visit), and the Mathematics Department of Peking University in 2024 (long visit as a laureate of the France-China Young Talents program). In 2024, he was also invited to the Mathematics and Machine Learning program at Harvard CMSA. Additionally, he was an Oberwolfach Research Fellow / Research in Pairs participant in February 2022.
Research interests
He studies, on the one hand, the stabilization of partial differential equations and systems of such equations, that is, the ability to make a system stable when some form of control is available. He also explores the potential of using AI models to tackle advanced mathematical problems, with the goal of assisting mathematicians in finding solutions to problems that remain unsolved.
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Collaborations and top research areas from the last five years
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A novel approach to feedback control with deep reinforcement learning
Agbo bidi, K., Coron, J. M., Hayat, A. & Lichtlé, N., 1 Aug 2025, In: Systems and Control Letters. 202, 106102.Research output: Contribution to journal › Article › peer-review
Open Access -
Boundary stabilization of star-shaped Saint-Venant networks with combined subcritical and supercritical channels
Hayat, A., Hu, Y. & Shang, P., 1 Sept 2025, In: Systems and Control Letters. 203, 106135.Research output: Contribution to journal › Article › peer-review
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Exponential Stability of the Linearized Viscous Saint-Venant Equations Using a Quadratic Lyapunov Function
Hayat, A. & Lichtle, N., 1 Jan 2025, (Accepted/In press) In: IEEE Transactions on Automatic Control.Research output: Contribution to journal › Article › peer-review
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FREDHOLM BACKSTEPPING FOR CRITICAL OPERATORS AND APPLICATION TO RAPID STABILIZATION FOR THE LINEARIZED WATER WAVES
Gagnon, L., Hayat, A., Xiang, S. & Zhang, C., 1 Jan 2025, In: Annales de l'Institut Fourier. 75, 6, p. 2423-2500 78 p.Research output: Contribution to journal › Article › peer-review
Open Access -
The usefulness of viscosity for the robustness of boundary feedback control of an unstable fluid flow system
Bastin, G., Coron, J. M. & Hayat, A., 1 Mar 2025, In: Automatica. 173, 112048.Research output: Contribution to journal › Article › peer-review
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Traffic Control via Connected and Automated Vehicles (CAVs): An Open-Road Field Experiment with 100 CAVs
Lee, J. W., Wang, H., Jang, K., Lichtle, N., Hayat, A., Bunting, M., Alanqary, A., Barbour, W., Fu, Z., Gong, X., Gunter, G., Hornstein, S., Kreidieh, A. R., Nice, M. T. W., Richardson, W. A., Shah, A., Vinitsky, E., Wu, F., Xiang, S. & Almatrudi, S. & 44 others, , 1 Jan 2025, In: IEEE Control Systems. 45, 1, p. 28-60 33 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Traffic Smoothing Using Explicit Local Controllers: Experimental Evidence for Dissipating Stop-and-go Waves with a Single Automated Vehicle in Dense Traffic
Hayat, A., Alanqary, A., Bhadani, R., Denaro, C., Weightman, R. J., Xiang, S., Lee, J. W., Bunting, M., Gollakota, A., Nice, M. W., Gloudemans, D., Zachar, G., Davis, J. F., Delle Monache, M. L., Seibold, B., Bayen, A. M., Sprinkle, J., Work, D. B. & Piccoli, B., 1 Jan 2025, In: IEEE Control Systems. 45, 1, p. 95-110 16 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Global Lyapunov functions: a long-standing open problem in mathematics, with symbolic transformers
Alfarano, A., Charton, F. & Hayat, A., 1 Jan 2024, In: Advances in Neural Information Processing Systems. 37Research output: Contribution to journal › Conference article › peer-review
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PI Control for the Cascade Channels Modeled by General Saint-Venant Equations
Hayat, A., Hu, Y. & Shang, P., 1 Jan 2024, In: IEEE Transactions on Automatic Control. 69, 8, p. 4974-4987 14 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Approaches for Synthesis and Deployment of Controller Models on Automated Vehicles for Car-following in Mixed Autonomy
Bhadani, R., Bunting, M., Nice, M., Wu, F., Hayat, A., Lee, J. W., Bayen, A., Piccoli, B., Seibold, B., Work, D. & Sprinkle, J., 9 May 2023, Proceedings of 2023 Cyber-Physical Systems and Internet-of-Things Week, CPS-IoT Week 2023 - Workshops. Association for Computing Machinery, p. 158-163 6 p. (ACM International Conference Proceeding Series).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Open Access