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20112022
most citedGeometric optimal control of the contrast imaging problem in Nuclear Magnetic Resonance

60 citations

13 papers

math.OC2022★ 1 cited

Exponential stability of linear periodic difference-delay equations

Laurent Baratchart, Sébastien Fueyo, Jean-Baptiste Pomet

This paper deals with the stability of linear periodic difference delay systems, where the value at time of a solution is a linear combination with periodic coefficients of its…

math.OC2020

New perspectives on output feedback stabilization at an unobservable target

Lucas Brivadis, Jean-Paul Gauthier, Ludovic Sacchelli +1

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the pr…

cond-mat.soft2019★ 19 cited

Optimal Actuation of Flagellar Magnetic Micro-Swimmers

Yacine El Alaoui-Faris, Jean-Baptiste Pomet, Stéphane Régnier +1

We present an automated procedure for the design of optimal actuation for flagellar magnetic microswimmers based on numerical optimization. Using this method, a new magnetic actuat…

math.OC2019★ 4 cited

Necessary conditions for local controllability of a particular class of systems with two scalar controls

Laetitia Giraldi, Pierre Lissy, Clément Moreau +1

We consider affine control systems with two scalar controls, such that one control vector field vanishes at an equilibrium state. We state two necessary conditions of local control…

cs.LG2019★ 8 cited

Robust supervised classification and feature selection using a primal-dual method

Michel Barlaud, Antonin Chambolle, Jean-Baptiste Caillau

This paper deals with supervised classification and feature selection in high dimensional space. A classical approach is to project data on a low dimensional space and classify by…

math.DG2018★ 3 cited

Strong Sard Conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3

A Belotto da Silva, A Figalli, A Parusiński +1

In this paper we prove the strong Sard conjecture for sub-Riemannian structures on 3-dimensional analytic manifolds. More precisely, given a totally nonholonomic analytic distribut…

math.DS2018★ 2 cited

Non-integrability of the minimum-time Kepler problem

Michael Orieux, Jean-Baptiste Caillau, Jacques Féjoz +1

We prove that the minimum-time controlled Kepler problem is not Liouville integrable in the class of meromorphic functions, via the Moralès-Ramis theory.

physics.flu-dyn2017★ 1 cited

The asymptotic coarse-graining formulation of slender-rods, bio-filaments and flagella

Clément Moreau, Laetitia Giraldi, Hermes Gadêlha

The inertialess fluid-structure interactions of active and passive inextensible filaments and slender- rods are ubiquitous in nature, from the dynamics of semi-flexible polymers an…

math.OC2017★ 8 cited

Addendum to "Local Controllability of the Two-Link Magneto-Elastic Micro-Swimmer"

Laetitia Giraldi, Pierre Lissy, Clément Moreau +1

In the above mentioned note (<hal-01145537>, <arXiv:1506.05918>, published in IEEE Trans. Autom. Cont., 2017), the first and fourth authors proved a local controllability result ar…

math.OC2014★ 7 cited

Time Versus Energy in the Averaged Optimal Coplanar Kepler Transfer towards Circular Orbits

Bernard Bonnard, Helen Henninger, Jana Nemcova +1

The aim of this note is to compare the averaged optimal coplanar transfer towards circular orbits when the costs are the transfer time transfer and the energy consumption. While th…

math.OC2014★ 3 cited

A geometric control proof of linear Franks' lemma for geodesic flows

Ayadi Lazrag

We provide an elementary proof of the Franks lemma for geodesic flows that uses basic tools of geometric control theory.

quant-ph2012★ 60 cited

Geometric optimal control of the contrast imaging problem in Nuclear Magnetic Resonance

B. Bonnard, O. Cots, S. J. Glaser +3

The objective of this article is to introduce the tools to analyze the contrast imaging problem in Nuclear Magnetic Resonance. Optimal trajectories can be selected among extremal s…

math.OC2011★ 15 cited

The averaged control system of fast oscillating control systems

Alex Bombrun, Jean-Baptiste Pomet

For control systems that either have a fast explicit periodic dependence on time and bounded controls or have periodic solutions and small controls, we define an average control sy…