25 citations · 47 across the 19 of their papers we have counts for
4 papers · 1 filter
Quantitative Fredholm backstepping and rapid stabilization
Ludovick Gagnon, Amaury Hayat, Swann Marx +2
In this paper, we address the existence of Fredholm backstepping transformations for self-adjoint and skew-adjoint operators . Under suitable assumptions on the operator and…
Boundary stabilization of flows in networks of open channels modeled by Saint-Venant equations
Amaury Hayat, Yating Hu, Peipei Shang
This work investigates the boundary stabilization of flows in star-shaped and tree-shaped networks of open channels governed by the Saint-Venant equations with a friction term. Due…
Reinforcement Learning in Control Theory: A New Approach to Mathematical Problem Solving
Kala Agbo Bidi, Jean-Michel Coron, Amaury Hayat +1
One of the central questions in control theory is achieving stability through feedback control. This paper introduces a novel approach that combines Reinforcement Learning (RL) wit…
Stability of multi-population traffic flows
Amaury Hayat, Benedetto Piccoli, Shengquan Xiang
Traffic waves, known also as stop-and-go waves or phantom hams, appear naturally as traffic instabilities, also in confined environments as a ring-road. A multi-population traffic…