250 citations
- Sorbonne UniversitéFR581 papers
- Centre National de la Recherche ScientifiqueFR460 papers
- Université Pierre-et-Marie-CurieFR275 papers
- Institut national de recherche en sciences et technologies du numériqueFR142 papers
- Université Paris CitéFR132 papers
- École PolytechniqueFR55 papers
- Institut Universitaire de FranceFR52 papers
- Université Paris DiderotFR52 papers
- Centre de Recherche en Mathématiques de la DécisionFR47 papers
- École Normale Supérieure - PSLFR39 papers
- Sorbonne Paris CitéFR34 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR32 papers
16 papers · 2 filters
An obstruction to small-time controllability of the bilinear Schr{ö}dinger equation
Ivan Beschastnyi, Ugo Boscain, Mario Sigalotti
In this article we discuss which controllability properties of classical Hamiltonian systems are preserved after quantization. We discuss some necessary and some sufficient conditi…
Computation of avoidance regions for driver assistance systems by using a Hamilton-Jacobi approach
Ilaria Xausa, Robert Baier, Olivier Bokanowski +1
We consider the problem of computing safety regions, modeled as nonconvex backward reachable sets, for a nonlinear car collision avoidance model with time-dependent obstacles. The…
Bounds on time-optimal concatenations of arcs for two-input driftless 3D systems
M. Sigalotti
We study a driftless system on a three-dimensional manifold driven by two scalar controls. We assume that each scalar control has an independent bound on its modulus and we prove t…
Regularity for the planar optimal p-compliance problem
Bohdan Bulanyi, Antoine Lemenant
In this paper we prove a partial regularity result in dimension for the optimal -compliance problem, extending for some of the results obtained by A.…
Null-controllability of linear hyperbolic systems in one dimensional space
Jean-Michel Coron, Hoai-Minh Nguyen
This paper is devoted to the controllability of a general linear hyperbolic system in one space dimension using boundary controls on one side. Under precise and generic assumptions…
Superexponential stabilizability of evolution equations of parabolic type via bilinear control
Fatiha Alabau-Boussouira, Piermarco Cannarsa, Cristina Urbani
We prove rapid stabilizability to the ground state solution for a class of abstract parabolic equations of the form \begin{equation*} u'(t)+Au(t)+p(t)Bu(t)=0,\qquad t\geq0 \end{equ…