Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints
Maïtine Bergounioux
,
Loïc Bourdin
ESAIM: Control, Optimisation and Calculus of Variations , In press
Article dans une revue
hal-01796387v2
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Optimal sampled-data controls with running inequality state constraints: Pontryagin maximum principle and bouncing trajectory phenomenon
Loïc Bourdin
,
Gaurav Dhar
Mathematical Programming, Series A , 2020
Article dans une revue
hal-02160231v2
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Linear-quadratic optimal sampled-data control problems: convergence result and Riccati theory
Loïc Bourdin
,
Emmanuel Trélat
Automatica , 2017, 79, pp.273--281
Article dans une revue
hal-01304197v1
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Shape optimization for variational inequalities: the scalar Tresca friction problem
Samir Adly
,
Loïc Bourdin
,
Fabien Caubet
,
Aymeric Jacob de Cordemoy
SIAM Journal on Optimization , 2023, 33 (4), pp.2512-2541
Article dans une revue
hal-03848645v4
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Unified Riccati theory for optimal permanent and sampled-data control problems in finite and infinite time horizons
Loïc Bourdin
,
Emmanuel Trélat
Article dans une revue
hal-02473706v1
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On a Decomposition Formula for the Resolvent Operator of the Sum of Two Set-Valued Maps with Monotonicity Assumptions
Samir Adly
,
Loïc Bourdin
Article dans une revue
hal-02386009v1
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On the reduction of a spatially hybrid optimal control problem into a temporally hybrid optimal control problem
Térence Bayen
,
Anas Bouali
,
Loïc Bourdin
,
Olivier Cots
2023
Pré-publication, Document de travail
hal-04319045v1
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Legendre's necessary condition for fractional Bolza functionals with mixed initial/final constraints
Loïc Bourdin
,
Rui A. C. Ferreira
Journal of Optimization Theory and Applications , In press
Article dans une revue
hal-02568662v4
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Pontryagin-Type Conditions for Optimal Muscular Force Response to Functional Electric Stimulations
Toufik Bakir
,
Bernard Bonnard
,
Loïc Bourdin
,
Jérémy Rouot
Article dans une revue
hal-01854551v3
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Existence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives
Loïc Bourdin
,
Tatiana Odzijewicz
,
Delfim F. M. Torres
Advances in Dynamical Systems and Applications , 2013, 8 (1), pp.3-12
Article dans une revue
hal-01253289v1
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Flip procedure in geometric approximation of multiple-component shapes – Application to multiple-inclusion detection
Pierre Bonnelie
,
Loïc Bourdin
,
Fabien Caubet
,
Olivier Ruatta
SMAI Journal of Computational Mathematics , 2016, 2, pp.255-276
Article dans une revue
hal-01710845v1
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Direct and Indirect Methods to Optimize the Muscular Force Response to a Pulse Train of Electrical Stimulation
Toufik Bakir
,
Bernard Bonnard
,
Loïc Bourdin
,
Jérémy Rouot
Article dans une revue
hal-02053566v2
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Sensitivity Analysis of a Scalar Mechanical Contact Problem with Perturbation of the Tresca's Friction Law
Loïc Bourdin
,
Fabien Caubet
,
Aymeric Jacob de Cordemoy
Journal of Optimization Theory and Applications , 2022, 192, pp.856-890
Article dans une revue
hal-03561843v2
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Helmholtz's inverse problem of the discrete calculus of variations
Loïc Bourdin
,
Jacky Cresson
Article dans une revue
hal-00866945v1
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On a decomposition formula for the proximal operator of the sum of two convex functions
Samir Adly
,
Loïc Bourdin
,
Fabien Caubet
Journal of Convex Analysis , 2019, 26 (2), pp.699-718
Article dans une revue
hal-01558522v2
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Optimal sampled-data control, and generalizations on time scales
Loïc Bourdin
,
Emmanuel Trélat
Mathematical Control and Related Fields , 2016, 6 (1), pp.53--94
Article dans une revue
hal-01110750v2
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Hybrid maximum principle with regionally switching parameter
Térence Bayen
,
Anas Bouali
,
Loïc Bourdin
2022
Pré-publication, Document de travail
hal-03638701v1
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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, 20 (3-4), pp.213-232
Article dans une revue
hal-01253280v3
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Existence of minimizers for generalized Lagrangian functionals and a necessary optimality condition - Application to fractional variational problems
Loïc Bourdin
,
Tatiana Odzijewicz
,
Delfim Torres
Article dans une revue
hal-01253284v2
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Integrative river science and rehabilitation : European experiences
Hervé Piégay
,
L. A. Naylor
,
G. Haidvogl
,
J. Kail
,
L. Schmitt
,
et al.
Brierley, Gary J.;Fryirs, Kirstie A.;. River futures : an integrative scientific approach to river repair , Society for Ecological Restoration International, pp.201 -219, 2008
Chapitre d'ouvrage
halshs-00435355v1
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General Cauchy-Lipschitz theory for Δ-Cauchy problems with Carathéodory dynamics on time scales
Loïc Bourdin
,
Emmanuel Trélat
Journal of Difference Equations and Applications , 2014, 20 (4), pp.526--547
Article dans une revue
hal-00767661v1
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Existence of a weak solution for fractional Euler–Lagrange equations
Loïc Bourdin
Article dans une revue
hal-01253291v1
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Variational integrators of fractional Lagrangian systems in the framework of discrete embeddings
Loïc Bourdin
,
Jacky Cresson
,
Isabelle Greff
,
Pierre Inizan
11ème conférence internationale Saragosse-Pau sur les Mathématiques Appliquées , 2010, Jaca, Spain
Communication dans un congrès
hal-00868514v1
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Addendum to Pontryagin's maximum principle for dynamic systems on time scales
Loïc Bourdin
,
Oleksandr Stanzhytskyi
,
Emmanuel Trélat
Article dans une revue
hal-01674566v1
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Pontryagin maximum principle for optimal sampled-data control problems
Loïc Bourdin
,
Emmanuel Trélat
Communication dans un congrès
hal-01238220v1
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Cauchy-Lipschitz theory for fractional multi-order dynamics -- State-transition matrices, Duhamel formulas and duality theorems
Loïc Bourdin
Differential and integral equations , 2018, 31 (7-8)
Article dans une revue
hal-01558524v2
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Note on Pontryagin maximum principle with running state constraints and smooth dynamics - Proof based on the Ekeland variational principle
Loïc Bourdin
[0] University of Limoges, France. 2016
Rapport
hal-01302222v1
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Nonshifted calculus of variations on time scales with ∇-differentiable σ
Loïc Bourdin
Article dans une revue
hal-01253287v1
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Variational integrator for fractional Euler–Lagrange equations
Loïc Bourdin
,
Jacky Cresson
,
Isabelle Greff
,
Pierre Inizan
Article dans une revue
hal-00866948v1
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The derivative of a parameterized mechanical contact problem with a Tresca's friction law involves Signorini unilateral conditions
Samir Adly
,
Loïc Bourdin
,
Fabien Caubet
2019
Pré-publication, Document de travail
hal-02368180v1
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