Profil personnel
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.
Intérêts de la recherche
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.
Empreinte digitale
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Collaborations et principaux domaines de recherche des cinq dernières années
Résultat de recherche
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Rapid stabilization of general linear systems with F-equivalence
Hayat, A. & Loko, E., 15 juin 2026, Dans: Journal of Functional Analysis. 290, 12, 111447.Résultats de recherche: Contribution à un journal › Article › Revue par des pairs
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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 août 2025, Dans: Systems and Control Letters. 202, 106102.Résultats de recherche: Contribution à un journal › Article › Revue par des pairs
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Boundary stabilization of star-shaped Saint-Venant networks with combined subcritical and supercritical channels
Hayat, A., Hu, Y. & Shang, P., 1 sept. 2025, Dans: Systems and Control Letters. 203, 106135.Résultats de recherche: Contribution à un journal › Article › Revue par des pairs
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Exponential Stability of the Linearized Viscous Saint-Venant Equations Using a Quadratic Lyapunov Function
Hayat, A. & Lichtle, N., 1 janv. 2025, (Accepté/En presse) Dans: IEEE Transactions on Automatic Control.Résultats de recherche: Contribution à un journal › Article › Revue par des pairs
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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 janv. 2025, Dans: Annales de l'Institut Fourier. 75, 6, p. 2423-2500 78 p.Résultats de recherche: Contribution à un journal › Article › Revue par des pairs
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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 mars 2025, Dans: Automatica. 173, 112048.Résultats de recherche: Contribution à un journal › Article › Revue par des pairs
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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 autres, , 1 janv. 2025, Dans: IEEE Control Systems. 45, 1, p. 28-60 33 p.Résultats de recherche: Contribution à un journal › Article › Revue par des pairs
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Traffic Flow Reconstruction from Limited Collected Data
Baloul, N., Hayat, A., Liard, T. & Lissy, P., 1 janv. 2025, 2025 IEEE 64th Conference on Decision and Control, CDC 2025. Institute of Electrical and Electronics Engineers Inc., p. 7981-7986 6 p. (Proceedings of the IEEE Conference on Decision and Control).Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Contribution à une conférence › Revue par des pairs
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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 janv. 2025, Dans: IEEE Control Systems. 45, 1, p. 95-110 16 p.Résultats de recherche: Contribution à un journal › Article › Revue par des pairs
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Global Lyapunov functions: a long-standing open problem in mathematics, with symbolic transformers
Alfarano, A., Charton, F. & Hayat, A., 1 janv. 2024, Dans: Advances in Neural Information Processing Systems. 37Résultats de recherche: Contribution à un journal › Article de conférence › Revue par des pairs