10 citations · 29 across the 9 of their papers we have counts for
10 papers
Modeling and Optimization of Control Problems on GPUs
Alexis Montoison, Jean-Baptiste Caillau
We present a fully Julia-based, GPU-accelerated workflow for solving large-scale sparse nonlinear optimal control problems. Continuous-time dynamics are modeled and then discretize…
On the controllability of nonlinear systems with a periodic drift
Jean-Baptiste Caillau, Lamberto Dell'Elce, Alesia Herasimenka +1
Sufficient and necessary conditions are established for controllability of affine control systems where the control is constrained to a set whose convex hull contains the origin bu…
An algorithmic guide for finite-dimensional optimal control problems
Jean-Baptiste Caillau, Roberto Ferretti, Emmanuel Trélat +1
We survey the main numerical techniques for finite-dimensional nonlinear optimal control. The chapter is written as a guide to practitioners who wish to get rapidly acquainted with…
Sufficient conditions for time optimality of systems with control on the disk
Jean-Baptiste Caillau, Michael Orieux
The case of time minimization for affine control systems with control on the disk is studied. After recalling the standard sufficient conditions for local optimality in the smooth…
Maximal determinants of Schrödinger operators on bounded intervals
Clara L. Aldana, Jean-Baptiste Caillau, Pedro Freitas
We consider the problem of finding extremal potentials for the functional determinant of a one-dimensional Schrödinger operator defined on a bounded interval with Dirichlet boundar…
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…
The Nice Cube (Nice3) nanosatellite project
F. Millour, S. Ottogalli, M. Maamri +28
CubeSats are tiny satellites with increasing capabilities. They have been used for more than a decade by universities to train students on space technologies, in a hands-on project…
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.
Clustering with feature selection using alternating minimization, Application to computational biology
Cyprien Gilet, Marie Deprez, Jean-Baptiste Caillau +1
This paper deals with unsupervised clustering with feature selection. The problem is to estimate both labels and a sparse projection matrix of weights. To address this combinatoria…
-Minimization for Mechanical Systems
Zheng Chen, Jean-Baptiste Caillau, Yacine Chitour
Second order systems whose drift is defined by the gradient of a given potential are considered, and minimization of the -norm of the control is addressed. An analysis of the…