20 citations · 21 across the 2 of their papers we have counts for
5 papers
Linear-quadratic optimal sampled-data control problems: convergence result and Riccati theory
Loïc Bourdin, Emmanuel Trélat
We consider a general linear control system and a general quadratic cost, where the state evolves continuously in time and the control is sampled, i.e., is piecewise constant over…
Note on Pontryagin maximum principle with running state constraints and smooth dynamics -- Proof based on the Ekeland variational principle
Loïc Bourdin
In this note our aim is to give a proof of the Pontryagin maximum principle for a general optimal control problem with running state constraints and smooth dynamics. Our proof is b…
Pontryagin Maximum Principle for finite dimensional nonlinear optimal control problems on time scales
Loïc Bourdin, Emmanuel Trélat
In this article we derive a strong version of the Pontryagin Maximum Principle for general nonlinear optimal control problems on time scales in finite dimension. The final time can…
General Cauchy-Lipschitz theory for shifted and non shifted Delta-Cauchy problems on time scales
Loïc Bourdin, Emmanuel Trélat
This article is devoted to completing some aspects of the classical Cauchy-Lipschitz (or Picard-Lindelöf) theory for general nonlinear systems posed on time scales, that are closed…
Existence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives
Loïc Bourdin, Tatiana Odzijewicz, Delfim F. M. Torres
We study dynamic minimization problems of the calculus of variations with Lagrangian functionals containing Riemann-Liouville fractional integrals, classical and Caputo fractional…