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On Classical Solutions to the Mean Field Game System of Controls

Z Kobeissi
Preprints, Working Papers, ... hal-02109214v2
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Robustness under control sampling of reachability in fixed time for nonlinear control systems

Loïc Bourdin , Emmanuel Trélat
Mathematics of Control, Signals, and Systems, 2021, 33 (3), pp.515--551
Journal articles hal-02873100v1
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First and second order necessary optimality conditions for controlled stochastic evolution equations with control and state constraints

Hélène Frankowska , Qi Lü
Journal of Differential Equations, 2020, 268 (6), pp.2949-3015. ⟨10.1016/j.jde.2019.09.045⟩
Journal articles hal-02343364v1
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Finite composite games: Equilibria and dynamics

Sylvain Sorin , Cheng Wan
Journal of Dynamics and Games, 2016, 3 (1), pp.101-120. ⟨10.3934/jdg.2016005⟩
Journal articles hal-02885860v1

Improved sensitivity relations in state constrained optimal control

Piernicola Bettiol , Hélène Frankowska , Richard Vinter
Applied Mathematics and Optimization, 2014, ⟨10.1007/s00245-014-9260-6⟩
Journal articles hal-01005613v1

Negative materials and corners in electromagnetism

Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Patrick Ciarlet , Xavier Claeys , Serguei Nazarov et al.
Report No.3/2013 of Mathematisches Forschungsinstitut Oberwolfach "Computational Electromagnetism and Acoustics", 2013, Oberwolfach, Germany
Conference papers hal-00937670v1
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Dynamic Programming and Error Estimates for Stochastic Control Problems with Maximum Cost

Olivier Bokanowski , Athena Picarelli , Hasnaa Zidani
Applied Mathematics and Optimization, 2015, 71 (1), pp.125--163. ⟨10.1007/s00245-014-9255-3⟩
Journal articles hal-00931025v2

Error estimates for a stochastic impulse control problem

Frédéric Bonnans , Stefania Maroso , Hasnaa Zidani
Applied Mathematics and Optimization, 2007, 55 (3), pp.327-357. ⟨10.1007/s00245-006-0865-2⟩
Journal articles hal-00849555v1

Dissipative boundary conditions for one-dimensional quasi-linear hyperbolic systems: Lyapunov stability for the {$C^1$}-norm

Jean-Michel Coron , Georges Bastin
SIAM Journal on Control and Optimization, 2015, 53 (3), pp.1464--1483. ⟨10.1137/14097080X⟩
Journal articles hal-01449620v1
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On the controllability of the Navier-Stokes equation in spite of boundary layers

Jean-Michel Coron , Frédéric Marbach , Franck Sueur
Mathematical Analysis of Viscous Incompressible Fluid, Nov 2016, Kyoto, Japan. pp.162-180
Conference papers hal-01492722v1
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First order Mean Field Games on networks

Yves Achdou , Paola Mannucci , Claudio Marchi , Nicoletta Tchou
Preprints, Working Papers, ... hal-03729443v1
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Erratum: Optimal stopping time problem in a general framework

Magdalena Kobylanski , Marie-Claire Quenez
Preprints, Working Papers, ... hal-01328196v1
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Error Estimates for Second Order Hamilton-Jacobi-Bellman Equations. Approximation of Probabilistic Reachable Sets

Mohamed Assellaou , Olivier Bokanowski , Hasnaa Zidani
Discrete and Continuous Dynamical Systems - Series A, 2015, 35 (9), pp.3933 - 3964. ⟨10.3934/dcds.2015.35.3933⟩
Journal articles hal-00998371v2
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PI Regulation of a Reaction-Diffusion Equation with Delayed Boundary Control

Hugo Lhachemi , Christophe Prieur , Emmanuel Trélat
IEEE Transactions on Automatic Control, 2021, 66 (4), pp.1573 - 1587. ⟨10.1109/TAC.2020.2996598⟩
Journal articles hal-02294321v1
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Linear turnpike theorem

Emmanuel Trélat
Preprints, Working Papers, ... hal-02978505v4
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An Optimization-Based Discrete Element Model for Dry Granular Flows: Application to Granular Collapse on Erodible Beds

Hugo A Martin , Anne Mangeney , Aline Lefebvre-Lepot , Bertrand Maury , Yvon Maday et al.
Preprints, Working Papers, ... hal-03790427v1
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Convergence in nonlinear optimal sampled-data control problems

Loïc Bourdin , Emmanuel Trélat
Preprints, Working Papers, ... hal-03975698v1
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A bio-inspired geometric model for sound reconstruction

Ugo Boscain , Dario Prandi , Ludovic Sacchelli , Giuseppina Turco
IFAC World Conference 2020, Jul 2020, Berlin / Virtual, Germany
Conference papers hal-03020099v1

Data Assimilation for hyperbolic conservation laws. A Luenberger observer approach based on a kinetic description

Anne-Céline Boulanger , Philippe Moireau , Benoît Perthame , Jacques Sainte-Marie
Communications in Mathematical Sciences, 2015, 13 (3), pp.587 - 622. ⟨10.4310/CMS.2015.v13.n3.a1⟩
Journal articles hal-00924559v1

The Goh necessary optimality conditions for the Mayer problem with control constraints

Hélène Frankowska , Daniela Tonon
52nd IEEE Control and Decision Conference (CDC) (2013), IEEE, Dec 2013, Florence, Italy. pp.538-543
Conference papers hal-00917508v1

Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics

Andrei Agrachev , Davide Barilari , Paoli Elisa
Preprints, Working Papers, ... hal-01284352v1
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Minimum time control of the rocket attitude reorientation associated with orbit dynamics

Jiamin Zhu , Emmanuel Trélat , Max Cerf
SIAM Journal on Control and Optimization, 2016, 54 (1), pp.391-422. ⟨10.1137/15M1028716⟩
Journal articles hal-01170274v2
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Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays

Cristina Pignotti , Emmanuel Trélat
Communications in Mathematical Sciences, 2018, 16 (8), pp.2053--2076
Journal articles hal-01562559v2
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The turnpike property in finite-dimensional nonlinear optimal control

Emmanuel Trélat , Enrique Zuazua
Journal of Differential Equations, 2015, 258, pp.81--114
Journal articles hal-00946536v1

Circadian timing in cancer treatments

Elisabet Ortiz , Ali Mteyrek , Annabelle Ballesta , Pasquale Innominato , Francis Lévi et al.
Circadian Clocks, Springer, pp.Vol. 217, 2013, Handbook of Experimental Pharmacology, 978-3-642-25949-4
Book sections hal-00780807v1

Target Identification Using Dictionary Matching of Generalized Polarization Tensors

Habib Ammari , Thomas Boulier , Josselin Garnier , Wenjia Jing , Hyœnbæ Kang et al.
Preprints, Working Papers, ... hal-00688241v1
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Pointwise second-order necessary optimality conditions for the Mayer problem with control constraints

Hélène Frankowska , Daniela Tonon
SIAM Journal on Control and Optimization, 2013, 51 (5), pp.3814-3843. ⟨10.1137/130906799⟩
Journal articles hal-00918491v1
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A strategy-based proof of the existence of the value in zero-sum differential games

Pablo Maldonado , Miquel Oliu-Barton
Morfismos, 2014, 18 (1), pp.31-44
Journal articles hal-00753209v1
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Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces

Emmanuel Trélat , Can Zhang , Enrique Zuazua
SIAM Journal on Control and Optimization, 2018, 56 (2), pp.1222-1252
Journal articles hal-01377320v1
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Pontryagin Maximum Principle for finite dimensional nonlinear optimal control problems on time scales

Loïc Bourdin , Emmanuel Trélat
SIAM Journal on Control and Optimization, 2013, 51 (5), pp.3781--3813
Journal articles hal-00788477v1