25 citations · 47 across the 19 of their papers we have counts for
6 papers · 1 filter
Minimal time for heat observability on almost-Riemannian surfaces
Vincent Boulard, Amaury Hayat, Emmanuel Trélat
We determine the minimal observation time for the heat equation on a closed almost-Riemannian surface, for a class of observation sets leaving sufficiently thin collars around simp…
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces
Vincent Boulard, Amaury Hayat, Emmanuel Trélat
Weighted integrated observability inequalities for heat equations usually involve a small-time factor of the form . We prove that this scale is not an artefact of Carlema…
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…
Exponential stability of the linearized viscous Saint-Venant equations using a quadratic Lyapunov function
Amaury Hayat, Nathan Lichtlé
In this work, we investigate the exponential stability of the viscous Saint-Venant equations by adding to the standard hyperbolic Saint-Venant equations a viscosity term coming fro…
Rapid stabilization of general linear systems with F-equivalence
Amaury Hayat, Epiphane Loko
We study the rapid stabilization of general linear systems, when the differential operator has a Riesz basis of eigenvectors. We find simple sufficient conditions for…
F-equivalence for parabolic systems and applications to the stabilization of nonlinear PDE
Vincent Boulard, Amaury Hayat
We consider the -equivalence problem for parabolic systems: under which conditions a control system, governed by a parabolic operator and a control operator , can be made…