779 citations
- École PolytechniqueFR888 papers
- Centre National de la Recherche ScientifiqueFR309 papers
- Institut national de recherche en sciences et technologies du numériqueFR124 papers
- Université Paris-SaclayFR80 papers
- Centre de Recherche en Mathématiques de la DécisionFR50 papers
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- École Normale Supérieure - PSLFR30 papers
6 papers · 2 filters
Reachability of Delayed Hybrid Systems Using Level-set Methods
Giovanni Granato
This study proposes an algorithm to synthesize controllers for the power management on board hybrid vehicles that allows the vehicle to reach its maximum range along a given route.…
Policy iteration algorithm for zero-sum multichain stochastic games with mean payoff and perfect information
Marianne Akian, Jean Cochet-Terrasson, Sylvie Detournay +1
We consider zero-sum stochastic games with finite state and action spaces, perfect information, mean payoff criteria, without any irreducibility assumption on the Markov chains ass…
First and second order optimality conditions for optimal control problems of state constrained integral equations
J. Frédéric Bonnans, Constanza De La Vega, Xavier Dupuis
This paper deals with optimal control problems of integral equations, with initial-final and running state constraints. The order of a running state constraint is defined in the se…
Controllability of the bilinear Schrödinger equation with several controls and application to a 3D molecule
Ugo Boscain, Marco Caponigro, Mario Sigalotti
We show the approximate rotational controllability of a polar linear molecule by means of three nonresonant linear polarized laser fields. The result is based on a general approxim…
A Stochastic Dynamic Principle for Hybrid Systems with Execution Delay and Decision Lags
K. Aouchiche, J. Frederic Bonnans, Giovanni Granato +1
This work presents a stochastic dynamic programming (SDP) algorithm that aims at minimizing an economic criteria based on the total energy consumption of a range extender electric…
Curve cuspless reconstruction via sub-Riemannian geometry
Ugo Boscain, Remco Duits, Francesco Rossi +1
We consider the problem of minimizing for a planar curve having fixed initial and final positions and directions. The total length is free…