Loïc Bourdin

Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints

Maı̈tine Bergounioux, Loïc Bourdin · ESAIM Control Optimisation and Calculus of Variations · 2019 · 77 citations · Full text

Fractional-order System, Pontryagin Maximum Principle, Sensitivity Analysis +6

A continuous/discrete fractional Noether’s theorem

Loïc Bourdin, Jacky Cresson, Isabelle Greff · Communications in Nonlinear Science and Numerical Simulation · 2012 · 58 citations · Full text

Fractional-order System, Fractional Dynamic, Functional Analysis

Pontryagin Maximum Principle for Finite Dimensional Nonlinear Optimal Control Problems on Time Scales

Loïc Bourdin, Emmanuel Trélat · SIAM Journal on Control and Optimization · 2013 · 47 citations · Full text

Mathematical Programming, General Time Scale, Hamiltonian Theory +10

Variational integrator for fractional Euler–Lagrange equations

Loïc Bourdin, Jacky Cresson, Isabelle Greff et al. · Applied Numerical Mathematics · 2013 · 35 citations · Full text

Numerical Analysis, Engineering, Fractional Dynamic +4

A fractional fundamental lemma and a fractional integration by parts formula -- Applications to critical points of Bolza functionals and to linear boundary value problems

Loïc Bourdin, Dariusz Idczak · Advances in Differential Equations · 2015 · 32 citations

Parts Formula, Resolvent Kernel, Fractional-order System +8