58 citations · 223 across the 31 of their papers we have counts for
10 papers · 1 filter
Pontryagin maximum principle for optimal sampled-data control problems
Loïc Bourdin, Emmanuel Trélat
In this short communication, we first recall a version of the Pontryagin maximum principle for general finite-dimensional nonlinear optimal sampled-data control problems. This resu…
Finite-dimensional predictor-based feedback stabilization of a 1D linear reaction-diffusion equation with boundary input delay
Delphine Bresch-Pietri, Christophe Prieur, Emmanuel Trélat
We consider a one-dimensional controlled reaction-diffusion equation, where the control acts on the boundary and is subject to a constant delay. Such a model is a paradigm for more…
Coupled attitude and trajectory optimization for a launcher tilting maneuver
Jiamin Zhu, Emmanuel Trélat, Max Cerf
We study the minimum time control problem of the launchers. The optimal trajectories of the problem may contain singular arcs, and thus chattering arcs. The motion of the launcher…
Quantum ergodicity and quantum limits for sub-Riemannian Laplacians
Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat
This paper is a proceedings version of \cite{CHT-I}, in which we state a Quantum Ergodicity (QE) theorem on a 3D contact manifold, and in which we establish some properties of the…
Nonlinear damped partial differential equations and their uniform discretizations
Fatiha Alabau-Boussouira, Yannick Privat, Emmanuel Trélat
We establish sharp energy decay rates for a large class of nonlinearly first-order damped systems, and we design discretization schemes that inherit of the same energy decay rates,…
Planar tilting maneuver of a spacecraft: singular arcs in the minimum time problem and chattering
Jiamin Zhu, Emmanuel Trélat, Max Cerf
In this paper, we study the minimum time planar tilting maneuver of a spacecraft, from the theoretical as well as from the numerical point of view, with a particular focus on the c…
Spectral asymptotics for sub-Riemannian Laplacians. I: quantum ergodicity and quantum limits in the 3D contact case
Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat
This is the first paper of a series in which we plan to study spectral asymptotics for sub-Riemannian Laplacians and to extend results that are classical in the Riemannian case con…
Multiple Shape Registration using Constrained Optimal Control
Sylvain Arguillère, Emmanuel Trélat, Alain Trouvé +1
Lagrangian particle formulations of the large deformation diffeomorphic metric mapping algorithm (LDDMM) only allow for the study of a single shape. In this paper, we introduce and…
High order variational integrators in the optimal control of mechanical systems
Cédric M. Campos, Sina Ober-Blöbaum, Emmanuel Trélat
In recent years, much effort in designing numerical methods for the simulation and optimization of mechanical systems has been put into schemes which are structure preserving. One…
Optimal sampled-data control, and generalizations on time scales
Loïc Bourdin, Emmanuel Trélat
In this paper, we derive a version of the Pontryagin maximum principle for general finite-dimensional nonlinear optimal sampled-data control problems. Our framework is actually muc…