Research interests
Control theory in finite dimension: optimal control, value
function, singular trajectories, stabilization, viscosity solutions.
Theory and algorithms for conjugate points. Numerical direct and
indirect methods in optimal control. Stackelberg strategies in game
theory. Hybrid systems, regularization.
Aeronautics problems: shuttle re-entry, orbit transfer, Lagrange points, cone constraints.
Control theory in infinite dimension: controllability or stabilization
of some PDE's (heat, wave, Navier-Stokes, Landau-Lifshitz in
micromagnetism), HUM method, numerical methods, shape optimization.
Sub-Riemannian geometry, singular curves, genericity results.
Tomography, Radon transform. Fractional Sobolev spaces, fractional derivatives.