L. Bourdin

发表

OPTIMAL SAMPLED-DATA CONTROL, AND GENERALIZATIONS ON TIME SCALES

Loic Bourdin, Emmanuel Tr'elat, Emmanuel Tr'elat, 2015, 1501.07361.

General Cauchy–Lipschitz theory for Δ-Cauchy problems with Carathéodory dynamics on time scales

E. Trélat, L. Bourdin, 2014 .

Non shifted calculus of variations on time scales with Nabla-differentiable Sigma

L. Bourdin, 2013, 1302.3623.

Contributions au calcul des variations et au principe du maximum de Pontryagin en calculs time scale et fractionnaire

L. Bourdin, 2013 .

General Cauchy-Lipschitz theory for shifted and non shifted Delta-Cauchy problems on time scales

Emmanuel Tr'elat, L. Bourdin, 2012, 1212.5042.

On a decomposition formula for the proximal operator of the sum of two convex functions

S. Adly, F. Caubet, L. Bourdin, 2017, 1707.08509.

On a Decomposition Formula for the Resolvent Operator of the Sum of Two Set-Valued Maps with Monotonicity Assumptions

S. Adly, L. Bourdin, 2019, Applied Mathematics & Optimization.

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

M. Bergounioux, L. Bourdin, 2020, ESAIM: Control, Optimisation and Calculus of Variations.

Filippov's existence theorem and Pontryagin maximum principle for general Caputo fractional optimal control problems

M. Bergounioux, L. Bourdin, 2018 .

Variational integrator for fractional Pontryagin's systems. Existence of a discrete fractional Noether's theorem

L. Bourdin, 2012, 1203.1707.

Existence of a weak solution for fractional Euler-Lagrange equations

L. Bourdin, 2012, 1203.1414.

The derivative of a parameterized mechanical contact problem with a Tresca's friction law involves Signorini unilateral conditions

S. Adly, F. Caubet, L. Bourdin, 2019 .

On the proximity operator of the sum of two convex functions

S. Adly, F. Caubet, L. Bourdin, 2017 .

Hybrid maximum principle with regionally switching parameter

L. Bourdin, T. Bayen, Anas Bouali, 2022 .

Variational integrator for fractional Euler–Lagrange equations

L. Bourdin, J. Cresson, I. Greff, 2011, 1103.0465.

Optimal control problems with non-control regions: necessary optimality conditions

L. Bourdin, T. Bayen, A. Bouali, 2022 .

The application of a universal separating vector lemma to optimal sampled-data control problems with nonsmooth Mayer cost function

S. Adly, L. Bourdin, Gaurav Dhar, 2022, Mathematical Control and Related Fields.

Existence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives

Delfim F. M. Torres, Loic Bourdin, Tatiana Odzijewicz, 2012, 1208.2363.

Helmholtz's inverse problem of the discrete calculus of variations

L. Bourdin, J. Cresson, 2012, 1203.1209.

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

L. Bourdin, D. Idczak, 2014, Advances in Differential Equations.

Optimal sampled-data controls with running inequality state constraints: Pontryagin maximum principle and bouncing trajectory phenomenon

L. Bourdin, Gaurav Dhar, 2020, Mathematical Programming.

Pontryagin-Type Conditions for Optimal Muscular Force Response to Functional Electrical Stimulations

B. Bonnard, L. Bourdin, J. Rouot, 2019, Journal of Optimization Theory and Applications.

Erratum, counterexample and an additional revealing poll step for a result of"Analysis of direct searches for discontinuous functions''

C. Audet, L. Bourdin, Pierre-Yves Bouchet, 2022, 2211.09947.

Variational integrators of fractional Lagrangian systems in the framework of discrete embeddings

L. Bourdin, J. Cresson, I. Greff, 2016, 1601.04882.

Linear-quadratic optimal sampled-data control problems: Convergence result and Riccati theory

Emmanuel Trélat, Loïc Bourdin, E. Trélat, 2016, Autom..

Pontryagin maximum principle for optimal sampled-data control problems

Loic Bourdin, Emmanuel Tr'elat, Emmanuel Tr'elat, 2015, 1512.04797.

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

Emmanuel Trélat, Loïc Bourdin, E. Trélat, 2013, SIAM J. Control. Optim..

A class of fractional optimal control problems and fractional Pontryagin's systems. Existence of a fractional Noether's theorem

Loic Bourdin, L. Bourdin, 2012, 1203.1422.

A derivative-free approach to optimal control problems with piecewise constant Mayer cost function

P.-Y. Bouchet, C. Audet, L. Bourdin, 2021, 2112.00413.

Optimal sampled-data controls with running inequality state constraints: Pontryagin maximum principle and bouncing trajectory phenomenon

Loïc Bourdin, L. Bourdin, Gaurav Dhar, 2020, Math. Program..

Pontryagin maximum principle for state constrained optimal sampled-data control problems on time scales

Piernicola Bettiol, Loïc Bourdin, L. Bourdin, 2021, ESAIM: Control, Optimisation and Calculus of Variations.

First-and second-order necessary optimality conditions for Bolza functionals with Caputo fractional derivatives and general mixed initial/final constraints

R. Ferreira, L. Bourdin, 2020 .

Cauchy-Lipschitz theory for fractional multi-order dynamics: State-transition matrices, Duhamel formulas and duality theorems

L. Bourdin, 2017, Differential and Integral Equations.

Legendre’s Necessary Condition for Fractional Bolza Functionals with Mixed Initial/Final Constraints

R. Ferreira, L. Bourdin, 2020, Journal of Optimization Theory and Applications.

Sensitivity Analysis of Variational Inequalities via Twice Epi-differentiability and Proto-differentiability of the Proximity Operator

Samir Adly, Loïc Bourdin, S. Adly, 2017, SIAM J. Optim..

Continuity/constancy of the Hamiltonian function in a Pontryagin maximum principle for optimal sampled-data control problems with free sampling times

Loïc Bourdin, Gaurav Dhar, L. Bourdin, 2019, Mathematics of Control, Signals, and Systems.

Unified Riccati Theory for Optimal Permanent and Sampled-Data Control Problems in Finite and Infinite Time Horizons

Emmanuel Trélat, Loïc Bourdin, E. Trélat, 2020, SIAM J. Control. Optim..

Flip procedure in geometric approximation of multiple-component shapes -- Application to multiple-inclusion detection

Olivier Ruatta, Pierre Bonnelie, Loic Bourdin, 2018, 1803.02843.

Sensitivity Analysis of a Scalar Mechanical Contact Problem with Perturbation of the Tresca’s Friction Law

F. Caubet, L. Bourdin, Aymeric Jacob de Cordemoy, 2022, Journal of Optimization Theory and Applications.

A continuous/discrete fractional Noether's theorem

Loic Bourdin, Jacky Cresson, Isabelle Greff, 2012, Commun. Nonlinear Sci. Numer. Simul..

A CONTINUOUS / DISCRETE FRACTIONAL NOETHER ’ S THEOREM by Löıc Bourdin , Jacky Cresson &

L. Bourdin, J. Cresson, I. Greff, 2017 .

Existence of minimizers for generalized Lagrangian functionals and a necessary optimality condition – Application to fractional variational problems

Delfim F. M. Torres, Loic Bourdin, Tatiana Odzijewicz, 2014, Differential and Integral Equations.

Sensitivity analysis of a Tresca-type problem leads to Signorini's conditions

S. Adly, F. Caubet, L. Bourdin, 2022, ESAIM: Control, Optimisation and Calculus of Variations.

Integrative river science and rehabilitation : European experiences

H. Piégay, L. Bourdin, L. Schmitt, 2007 .

General Cauchy-Lipschitz theory for shifted and non shifted ∆-Cauchy problems on time scales

E. Trélat, L. Bourdin, 2012 .

Robustness under control sampling of reachability in fixed time for nonlinear control systems

Loic Bourdin, Emmanuel Tr'elat, Emmanuel Tr'elat, 2020, Mathematics of Control, Signals, and Systems.