In this survey paper, we report on recent works concerning exact observability (and, by duality, exact controllability) properties of subelliptic wave and Schrödinger-type equations. These results illustrate the slowdown of propagation in directions transverse to the horizontal distribution. The proofs combine sub-Riemannian geometry, semi-classical analysis, spectral theory and non-commutative harmonic analysis
We prove controllability of the Schrödinger equation in ℝd in any time T > 0 with internal control s...
In this paper, we study the observability and controllability of wave equations coupled by first or ...
For a given bounded connected domain in $\R^n$ , the issue of computing the observability constant a...
International audienceIt is well-known that observability (and, by duality, controllability) of the ...
In this thesis at the boundary between analysis and geometry, we study some subelliptic partial diff...
Dans cette thèse à la frontière entre analyse et géométrie, nous étudions des équations aux dérivées...
International audienceWe give necessary and sufficient conditions for the controllability of a Schr\...
International audienceWe characterize the observability property (and, by duality, the controllabil...
International audienceWe consider the wave equation on a closed Riemannian manifold. We observe the ...
In this article, we give a completely constructive proof of the observability/controllability of the...
International audienceWe discuss the observability of a one-dimensional Schrödinger equation on cert...
We address the question of exact controllability of the wave and Schrodinger equa\-tions perturbed b...
The celebrated Rauch-Taylor/Bardos-Lebeau-Rauch geometric control condition is central in the study ...
Abstract: We study the exact observability of systems governed by the Schrödinger equation in a rect...
International audienceWe study the exact observability of systems governed by the Schrödinger equati...
We prove controllability of the Schrödinger equation in ℝd in any time T > 0 with internal control s...
In this paper, we study the observability and controllability of wave equations coupled by first or ...
For a given bounded connected domain in $\R^n$ , the issue of computing the observability constant a...
International audienceIt is well-known that observability (and, by duality, controllability) of the ...
In this thesis at the boundary between analysis and geometry, we study some subelliptic partial diff...
Dans cette thèse à la frontière entre analyse et géométrie, nous étudions des équations aux dérivées...
International audienceWe give necessary and sufficient conditions for the controllability of a Schr\...
International audienceWe characterize the observability property (and, by duality, the controllabil...
International audienceWe consider the wave equation on a closed Riemannian manifold. We observe the ...
In this article, we give a completely constructive proof of the observability/controllability of the...
International audienceWe discuss the observability of a one-dimensional Schrödinger equation on cert...
We address the question of exact controllability of the wave and Schrodinger equa\-tions perturbed b...
The celebrated Rauch-Taylor/Bardos-Lebeau-Rauch geometric control condition is central in the study ...
Abstract: We study the exact observability of systems governed by the Schrödinger equation in a rect...
International audienceWe study the exact observability of systems governed by the Schrödinger equati...
We prove controllability of the Schrödinger equation in ℝd in any time T > 0 with internal control s...
In this paper, we study the observability and controllability of wave equations coupled by first or ...
For a given bounded connected domain in $\R^n$ , the issue of computing the observability constant a...