44 citations · 159 across the 41 of their papers we have counts for
46 papers
A Palais-Smale type condition for optimal control problems
Jean-Michel Coron, Li Deng, Xu Zhang
We consider an optimal control problem with a general control constraint and a fixed initial state, for which convexity assumptions are absent. To establish the existence of optima…
Strict Lyapunov function for the one-dimensional linear wave equation with a locally distributed damping
Jean-Michel Coron
We construct an explicit strict Lyapunov function for the one-dimensional linear wave equation with a locally distributed damping and Dirichlet boundary conditions.
Global boundary stabilization of 1d systems of scalar conservation laws
Georges Bastin, Jean-Michel Coron, Amaury Hayat
We study a system of several one-dimensional scalar conservation laws coupled through boundary feedback conditions that combine physical boundary constraints with static feedback c…
Wave maps from circle to Riemannian manifold: global controllability is equivalent to homotopy
Jean-Michel Coron, Joachim Krieger, Shengquan Xiang
We study wave maps from the circle to a general compact Riemannian manifold. We prove that the global controllability of this geometric equation is characterized precisely by the h…
Global controllability to harmonic maps of the heat flow from a circle to a sphere
Jean-Michel Coron, Shengquan Xiang
In this paper, we study the global controllability and stabilization problems of the harmonic map heat flow from a circle to a sphere. Combining ideas from control theory, heat flo…
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…