Emmanuel Trélat

233
Documents

Publications

Publications

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Boundary output feedback stabilization of a cascade of N heat equations

Hugo Lhachemi , Christophe Prieur , Emmanuel Trélat

Systems and Control Letters, 2026, 210 (106363), 15 pp. ⟨10.1016/j.sysconle.2026.106363⟩

Article dans une revue hal-05108775v1
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Large-time optimal observation domain for linear parabolic systems

Idriss Mazari , Yannick Privat , Emmanuel Trélat

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2026, 43 (2), pp.345--370. ⟨10.4171/AIHPC/152⟩

Article dans une revue hal-04440343v2
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Internal control of the transition kernel for stochastic lattice dynamics

Amirali Hannani , Minh Nhat Phung , Minh-Binh Tran , Emmanuel Trélat

Journal of Differential Equations, 2026, Part 1, pp.113798

Article dans une revue hal-04717306v1
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Turnpike property of linear quadratic control problems with unbounded control operators

Hoai-Minh Nguyen , Emmanuel Trélat

Advances in Differential Equations, 2026, 31 (3-4), pp.219--252

Article dans une revue hal-05093587v1
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The exponential turnpike property for periodic linear quadratic optimal control problems in infinite dimension

Emmanuel Trélat , Xingwu Zeng , Can Zhang

SIAM Journal on Control and Optimization, 2025, 63 (4), pp.2524--2546

Article dans une revue hal-04433814v1
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Controlling the rates of a chain of harmonic oscillators with a point Langevin thermostat

Amirali Hannani , Minh Nhat Phung , Minh-Binh Tran , Emmanuel Trélat

Journal of Differential Equations, 2025, 426, pp.253--316

Article dans une revue hal-04507495v1
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Two-term large-time asymptotic expansion of the value function for dissipative nonlinear optimal control problems

Veljko Askovic , Emmanuel Trélat , Hasnaa Zidani

Mathematical Control and Related Fields, 2024, 14 (4), pp.1501--1516. ⟨10.3934/mcrf.2024041⟩

Article dans une revue hal-04345255v1
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Linear quadratic optimal control turnpike in finite and infinite dimension: two-term expansion of the value function

Veljko Ašković , Emmanuel Trélat , Hasnaa Zidani

Systems and Control Letters, 2024, 188, pp.105803. ⟨10.1016/j.sysconle.2024.105803⟩

Article dans une revue hal-04361557v1
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Convergence in nonlinear optimal sampled-data control problems

Loïc Bourdin , Emmanuel Trélat

IEEE Transactions on Automatic Control, 2024, 69 (10), pp.7144--7151

Article dans une revue hal-03975698v1
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Approximate control of parabolic equations with on-off shape controls by Fenchel duality

Camille Pouchol , Emmanuel Trélat , Christophe Zhang

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2024, 41 (6), pp.1465-1507. ⟨10.4171/AIHPC/114⟩

Article dans une revue hal-03889865v2
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Stabilization of infinite-dimensional linear control systems by POD reduced-order Riccati feedback

Emmanuel Trélat , Gengsheng Wang , Yashan Xu

Mathematical Control and Related Fields, 2024, 14 (4), pp.1705--1728

Article dans une revue hal-02163854v1
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Linear turnpike theorem

Emmanuel Trélat

Mathematics of Control, Signals, and Systems, 2023, 35 (3), pp.685--739. ⟨10.1007/s00498-023-00354-5⟩

Article dans une revue hal-02978505v4
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Quantum Limits on product manifolds

Emmanuel Humbert , Yannick Privat , Emmanuel Trélat

Indiana University Mathematics Journal, 2023, 72 (2), pp.757-783. ⟨10.1512/iumj.2023.72.9755⟩

Article dans une revue hal-03562358v1
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Geometric and probabilistic results for the observability of the wave equation

Emmanuel Humbert , Yannick Privat , Emmanuel Trélat

Journal de l'École polytechnique — Mathématiques, 2022, Tome 9, pp.431--461. ⟨10.5802/jep.186⟩

Article dans une revue hal-01652890v3
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Exponential convergence towards consensus for non-symmetric linear first-order systems in finite and infinite dimensions

Laurent Boudin , Francesco Salvarani , Emmanuel Trélat

SIAM Journal on Mathematical Analysis, 2022, 54 (3), pp.2727--2752. ⟨10.1137/21m1416102⟩

Article dans une revue hal-03210969v1
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Controlling swarms towards flocks and mills

José A Carrillo , Dante Kalise , Francesco Rossi , Emmanuel Trélat

SIAM Journal on Control and Optimization, 2022, 60 (3), pp.1863--1891. ⟨10.1137/21m1404314⟩

Article dans une revue hal-03167349v3
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Optimization of vaccination for COVID-19 in the midst of a pandemic

Qi Luo , Ryan Weightman , Sean Mcquade , Mateo Díaz , Emmanuel Trélat et al.

Networks and Heterogeneous Media, 2022, 17 (3), pp.443-466. ⟨10.3934/nhm.2022016⟩

Article dans une revue hal-03669889v1
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Proportional Integral regulation control of a one-dimensional semilinear wave equation

Hugo Lhachemi , Christophe Prieur , Emmanuel Trélat

SIAM Journal on Control and Optimization, 2022, 60 (1), pp.1--21. ⟨10.1137/20m1346857⟩

Article dans une revue hal-02872341v1
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Constructive exact control of semilinear 1D wave equations by a least-squares approach

Arnaud Munch , Emmanuel Trélat

SIAM Journal on Control and Optimization, 2022, 60 (2), pp.652-673. ⟨10.1137/20m1380661⟩

Article dans une revue hal-03007045v1
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Nonnegative control of finite-dimensional linear systems

Jérôme Lohéac , Emmanuel Trélat , Enrique Zuazua

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2021, 38 (2), pp.301-346. ⟨10.1016/j.anihpc.2020.07.004⟩

Article dans une revue hal-02335968v1
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Control of COVID-19 outbreak using an extended SEIR model

Sean T Mcquade , Ryan Weightman , Nathaniel J Merrill , Aayush Yadav , Emmanuel Trélat et al.

Mathematical Models and Methods in Applied Sciences, 2021, 31 (12), pp.2399-2424. ⟨10.1142/S0218202521500512⟩

Article dans une revue hal-03524027v1
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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⟩

Article dans une revue hal-02294321v1
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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. ⟨10.1007/s00498-021-00290-2⟩

Article dans une revue hal-02873100v1
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Pace and motor control optimization for a runner

Amandine Aftalion , Emmanuel Trélat

Journal of Mathematical Biology, 2021, 83 (1), Paper No. 9. ⟨10.1007/s00285-021-01632-z⟩

Article dans une revue hal-02613182v2
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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

SIAM Journal on Control and Optimization, 2021, 59 (2), pp.489--508. ⟨10.1137/20M1318535⟩

Article dans une revue hal-02473706v1
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Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results

Yves Colin de Verdìère , Luc Hillairet , Emmanuel Trélat

Annales Henri Lebesgue, 2021, 4, pp.897--971. ⟨10.5802/ahl.93⟩

Article dans une revue hal-02535865v1
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Shape turnpike for linear parabolic PDE models

Gontran Lance , Emmanuel Trélat , Enrique Zuazua

Systems and Control Letters, 2020, 142, pp.104733. ⟨10.1016/j.sysconle.2020.104733⟩

Article dans une revue hal-02388972v2
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How to build a new athletic track to break records

Amandine Aftalion , Emmanuel Trélat

Royal Society Open Science, 2020, 7 (200007), pp.10. ⟨10.1098/rsos.200007⟩

Article dans une revue hal-02441643v2
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Optimal Control of Endo-Atmospheric Launch Vehicle Systems: Geometric and Computational Issues

Riccardo Bonalli , Bruno Hérissé , Emmanuel Trélat

IEEE Transactions on Automatic Control, 2020, 65 (6), pp.2418--2433. ⟨10.1109/tac.2019.2929099⟩

Article dans une revue hal-01626869v2
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Characterization by observability inequalities of controllability and stabilization properties

Emmanuel Trélat , Gengsheng Wang , Yashan Xu

Pure and Applied Analysis, 2020, 2 (1), pp.93--122. ⟨10.2140/paa.2020.2.93⟩

Article dans une revue hal-01911941v1
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Two-sided space-time $L^1$ approximation and optimal control of polynomial systems

Bruno Després , Emmanuel Trélat

Applied Mathematics and Optimization, 2020, 82 (1), pp.307--352. ⟨10.1007/s00245-018-9501-1⟩

Article dans une revue hal-01487186v1
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Observability properties of the homogeneous wave equation on a closed manifold

Emmanuel Humbert , Yannick Privat , Emmanuel Trélat

Communications in Partial Differential Equations, 2019, 44 (9), pp.749--772. ⟨10.1080/03605302.2019.1581799⟩

Article dans une revue hal-01338016v4
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Phase portrait control for 1D monostable and bistable reaction-diffusion equations

Camille Pouchol , Emmanuel Trélat , Enrique Zuazua

Nonlinearity, 2019, 32 (3), pp.884--909. ⟨10.1088/1361-6544/aaf07e⟩

Article dans une revue hal-01800382v1
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Sparse control of Hegselmann-Krause models: Black hole and declustering

Benedetto Piccoli , Nastassia Pouradier Duteil , Emmanuel Trélat

SIAM Journal on Control and Optimization, 2019, 57 (4), pp.2628--2659. ⟨10.1137/18M1168911⟩

Article dans une revue hal-01699261v2
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Feedback stabilization of a 1D linear reaction-diffusion equation with delay boundary control

Christophe Prieur , Emmanuel Trélat

IEEE Transactions on Automatic Control, 2019, 64 (4), pp.1415-1425. ⟨10.1109/TAC.2018.2849560⟩

Article dans une revue hal-01583199v2
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Continuity of Pontryagin Extremals with Respect to Delays in Nonlinear Optimal Control

Riccardo Bonalli , Bruno Hérissé , Emmanuel Trélat

SIAM Journal on Control and Optimization, 2019, 57 (2), pp.1440-1466. ⟨10.1137/18m119121x⟩

Article dans une revue hal-03466959v1
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Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions

Yannick Privat , Emmanuel Trélat , Enrique Zuazua

Calculus of Variations and Partial Differential Equations, 2019, 58 (2), pp.64. ⟨10.1007/s00526-019-1522-3⟩

Article dans une revue hal-01872896v2

Combattre les tumeurs résistantes à la chimiothérapie grâce au contrôle optimal

Camille Pouchol , Emmanuel Trélat

Images des mathématiques, 2019, ⟨10.60868/tmc4-fh52⟩

Article dans une revue hal-05534132v1
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Redundancy implies robustness for bang-bang strategies

Antoine Olivier , Thomas Haberkorn , Emmanuel Trélat , Eric Bourgeois , David-Alexis Handschuh

Optimal Control Applications and Methods, 2019, 40 (1), pp.85--104. ⟨10.1002/oca.2468⟩

Article dans une revue hal-01557937v1
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Optimal shape design for 2D heat equations in large time

Emmanuel Trélat , Can Zhang , Enrique Zuazua

Pure and Applied Functional Analysis, 2018, 3 (1), pp.255--269

Article dans une revue hal-01442997v1
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Solving chance constrained optimal control problems in aerospace via Kernel Density Estimation

Jean-Baptiste Caillau , Max Cerf , Achille Sassi , Emmanuel Trélat , Hasnaa Zidani

Optimal Control Applications and Methods, 2018, 39 (5), pp.1833-1858. ⟨10.1002/oca.2445⟩

Article dans une revue hal-01507063v1
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Minimal controllability time for finite-dimensional control systems under state constraints

Jérôme Lohéac , Emmanuel Trélat , Enrique Zuazua

Automatica, 2018, 96, pp.380-392. ⟨10.1016/j.automatica.2018.07.010⟩

Article dans une revue hal-01710759v1
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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

Article dans une revue hal-01562559v2
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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

Article dans une revue hal-01377320v1
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New formulation of predictors for finite-dimensional linear control systems with input delay

Delphine Bresch-Pietri , Christophe Prieur , Emmanuel Trélat

Systems and Control Letters, 2018, 113, pp.9-16. ⟨10.1016/j.sysconle.2017.12.007⟩

Article dans une revue hal-01226598v3
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Minimal time spiking in various ChR2-controlled neuron models

Vincent Renault , Michèle Thieullen , Emmanuel Trélat

Journal of Mathematical Biology, 2018, 76 (3), pp.567--608. ⟨10.1007/s00285-017-1101-1⟩

Article dans une revue hal-01320492v1
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Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy

Camille Pouchol , Jean Clairambault , Alexander Lorz , Emmanuel Trélat

Journal de Mathématiques Pures et Appliquées, 2018, 116 (9), pp.268-308. ⟨10.1016/j.matpur.2017.10.007⟩

Article dans une revue hal-01416594v1
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Value function for regional control problems via dynamic programming and Pontryagin maximum principle

Guy Barles , Ariela Briani , Emmanuel Trélat

Mathematical Control and Related Fields, 2018, 8 (3-4), pp.509--533

Article dans une revue hal-01313559v2
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Integral and measure-turnpike properties for infinite-dimensional optimal control systems

Emmanuel Trélat , Can Zhang

Mathematics of Control, Signals, and Systems, 2018, 30 (1), pp.30:3

Article dans une revue hal-01519490v1
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Variational methods for tomographic reconstruction with few views

Maïtine Bergounioux , Isabelle Abraham , Romain Abraham , Guillaume Carlier , Erwan Le Pennec et al.

Milan Journal of Mathematics, 2018, 86 (2), pp.157--200

Article dans une revue hal-01817172v1
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Transfer Between Invariant Manifolds: From Impulse Transfer to Low-Thrust Transfer

Maxime Chupin , Thomas Haberkorn , Emmanuel Trélat

Journal of Guidance, Control, and Dynamics, 2018, 41 (3), pp.658--672. ⟨10.2514/1.G002922⟩

Article dans une revue hal-01494042v2
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Allee optimal control of a system in ecology

Emmanuel Trélat , Jiamin Zhu , Enrique Zuazua

Mathematical Models and Methods in Applied Sciences, 2018, 28 (9), pp.1665--1697

Article dans une revue hal-01696354v1
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Regularization of chattering phenomena via bounded variation controls

Marco Caponigro , Roberta Ghezzi , Benedetto Piccoli , Emmanuel Trélat

IEEE Transactions on Automatic Control, 2018, 63 (7), pp.2046-2060. ⟨10.1109/TAC.2018.2810540⟩

Article dans une revue hal-01359037v1
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Spectral asymptotics for sub-Riemannian Laplacians. I: Quantum ergodicity and quantum limits in the 3D contact case.

Yves Colin de Verdière , Luc Hillairet , Emmanuel Trélat

Duke Mathematical Journal, 2018, 167 (1), pp.109--174

Article dans une revue hal-01144257v4
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Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations

Camille Pouchol , Emmanuel Trélat

Journal of Biological Dynamics, 2018, 12 (1), pp.872--893

Article dans une revue hal-01470722v4

Spectral asymptotics for sub-Riemannian Laplacians, I: Quantum ergodicity and quantum limits in the 3-dimensional contact case

Luc Hillairet , Yves Colin de Verdière , Emmanuel Trélat

Duke Mathematical Journal, 2018, 167 (1), ⟨10.1215/00127094-2017-0037⟩

Article dans une revue hal-03470227v1
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Nonlinear damped partial differential equations and their uniform discretizations

Fatiha Alabau-Boussouira , Yannick Privat , Emmanuel Trélat

Journal of Functional Analysis, 2017, 273 (1), pp.352-403. ⟨10.1016/j.jfa.2017.03.010⟩

Article dans une revue hal-01162639v2
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Low-Thrust Lyapunov to Lyapunov and Halo to Halo with $L^2$-Minimization

Maxime Chupin , Thomas Haberkorn , Emmanuel Trélat

ESAIM: Mathematical Modelling and Numerical Analysis, 2017, 51 (3), pp.965--996. ⟨10.1051/m2an/2016044⟩

Article dans une revue hal-01223738v2
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Actuator design for parabolic distributed parameter systems with the moment method

Yannick Privat , Emmanuel Trélat , Enrique Zuazua

SIAM Journal on Control and Optimization, 2017, 55 (2), pp.1128--1152

Article dans une revue hal-01261810v3
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Geometric control condition for the wave equation with a time-dependent observation domain

Jérôme Le Rousseau , Gilles Lebeau , Peppino Terpolilli , Emmanuel Trélat

Analysis & PDE, 2017, 10 (4), pp.983--1015

Article dans une revue hal-01342398v2
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Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via Optogenetics

Vincent Renault , Michèle Thieullen , Emmanuel Trélat

Networks and Heterogeneous Media, 2017, 12 (3), pp.417--459

Article dans une revue hal-01320498v1
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Mean-Field Sparse Jurdjevic–Quinn Control

Marco Caponigro , Benedetto Piccoli , Francesco Rossi , Emmanuel Trélat

Mathematical Models and Methods in Applied Sciences, 2017, 27 (7), pp.1223-1253. ⟨10.1142/S0218202517400140⟩

Article dans une revue hal-01426410v1
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Sparse Jurdjevic–Quinn stabilization of dissipative systems

Marco Caponigro , Benedetto Piccoli , Francesco Rossi , Emmanuel Trélat

Automatica, 2017, 86, pp.110--120. ⟨10.1016/j.automatica.2017.08.012⟩

Article dans une revue hal-01397843v3
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Minimal controllability time for the heat equation under unilateral state or control constraints

Jérôme Lohéac , Emmanuel Trélat , Enrique Zuazua

Mathematical Models and Methods in Applied Sciences, 2017, 27 (9), pp.1587--1644. ⟨10.1142/S0218202517500270⟩

Article dans une revue hal-01457931v1
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Addendum to Pontryagin's maximum principle for dynamic systems on time scales

Loïc Bourdin , Oleksandr Stanzhytskyi , Emmanuel Trélat

Journal of Difference Equations and Applications, 2017, 23 (10), pp.1760-1763. ⟨10.1080/10236198.2017.1363194⟩

Article dans une revue hal-01674566v1
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Sub-Riemannian structures on groups of diffeomorphisms

Sylvain Arguillere , Emmanuel Trélat

Journal of the Institute of Mathematics of Jussieu, 2017, 16 (4), pp.745--785. ⟨10.1017/S1474748015000249⟩

Article dans une revue hal-01069810v2
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Geometric Optimal Control and Applications to Aerospace

Jiamin Zhu , Emmanuel Trélat , Max Cerf

Pacific Journal of Mathematics for Industry, 2017, 9 (1), pp.9:8

Article dans une revue hal-01443192v1
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A note on sharpness of the local Kato-smoothing property for dispersive wave equations

Shu-Ming Sun , Emmanuel Trélat , Bing-Yu Zhang , Ning Zhong

Proceedings of the American Mathematical Society, 2017, 145 (2), pp.653--664

Article dans une revue hal-01294160v1
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Low-thrust Lyapunov to Lyapunov and Halo to Halo missions with L2-minimization

Maxime Chupin , Thomas Haberkorn , Emmanuel Trélat

ESAIM: Mathematical Modelling and Numerical Analysis, 2017, 51 (3), pp.965-996. ⟨10.1051/m2an/2016044⟩

Article dans une revue hal-02922749v1
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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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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⟩

Article dans une revue hal-01170274v2
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Planar tilting maneuver of a spacecraft: singular arcs in the minimum time problem and chattering

Jiamin Zhu , Emmanuel Trélat , Max Cerf

Discrete and Continuous Dynamical Systems - Series B, 2016, 16 (4), pp.1347--1388

Article dans une revue hal-01145876v1
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Randomised observation, control and stabilisation of waves

Yannick Privat , Emmanuel Trélat , Enrique Zuazua

Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2016, 96 (5), pp.538--549

Article dans une revue hal-01160377v2
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Impulse and sampled-data optimal control of heat equations, and error estimates

Emmanuel Trélat , Lijuan Wang , Yubiao Zhang

SIAM Journal on Control and Optimization, 2016, 54 (5), pp.2787--2819

Article dans une revue hal-01202251v1
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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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Multiple shape registration using constrained optimal control

Sylvain Arguillère , Emmanuel Trélat , Alain Trouvé , Laurent Younes

SIAM Journal on Imaging Sciences, 2016, 9 (1), pp.344--385

Article dans une revue hal-01139640v1
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Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property

Martin Gugat , Emmanuel Trélat , Enrique Zuazua

Systems and Control Letters, 2016, 90, pp.61--70

Article dans une revue hal-01151672v1
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Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains

Yannick Privat , Emmanuel Trélat , Enrique Zuazua

Journal of the European Mathematical Society, 2016, 18 (5), pp.1043-1111. ⟨10.4171/JEMS/608⟩

Article dans une revue hal-00755281v3
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Control to flocking of the kinetic Cucker-Smale model

Benedetto Piccoli , Francesco Rossi , Emmanuel Trélat

SIAM Journal on Mathematical Analysis, 2015, 47 (6), pp.4685--4719. ⟨10.1137/140996501⟩

Article dans une revue hal-01084257v1
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Optimal shape and location of sensors for parabolic equations with random initial data

Yannick Privat , Emmanuel Trélat , Enrique Zuazua

Archive for Rational Mechanics and Analysis, 2015, 216 (3), pp.921--981

Article dans une revue hal-00965668v1
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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

Article dans une revue hal-00946536v1
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Sparse stabilization and control of the Cucker-Smale model

Marco Caponigro , Massimo Fornasier , Benedetto Piccoli , Emmanuel Trélat

Mathematical Models and Methods in Applied Sciences, 2015, 25 (3), pp.521--564. ⟨10.1142/S0218202515400059⟩

Article dans une revue hal-00743792v1
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High order variational integrators in the optimal control of mechanical systems

Cédric M. Campos , Sina Ober-Blöbaum , Emmanuel Trélat

Discrete and Continuous Dynamical Systems - Series A, 2015, 35 (9), pp.4193 - 4223. ⟨10.3934/dcds.2015.35.4193⟩

Article dans une revue hal-01122910v1
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Control and stabilization of steady-states in a finite-length ferromagnetic nanowire

Yannick Privat , Emmanuel Trélat

ESAIM: Control, Optimisation and Calculus of Variations, 2015, 21 (2), pp.301-323. ⟨10.1051/cocv/2014028⟩

Article dans une revue hal-00873556v2
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Shape deformation analysis from the optimal control viewpoint

Sylvain Arguillere , Emmanuel Trélat , Alain Trouvé , Laurent Younes

Journal de Mathématiques Pures et Appliquées, 2015, 104, pp.139--178. ⟨10.1016/j.matpur.2015.02.004⟩

Article dans une revue hal-00923570v1

Special issue on New trends in optimal control

Jean-Baptiste Caillau , Lars Grüne , Maria Do Rosário de Pinho , Emmanuel Trélat , Hasnaa Zidani

Discrete and Continuous Dynamical Systems - Series A, 2015, Special issue on New trends in optimal control, 35 (9), pp. i - iv ⟨10.3934/dcds.2015.35.9i⟩

Article dans une revue hal-01277412v1
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Complexity and regularity of maximal energy domains for the wave equation with fixed initial data

Yannick Privat , Emmanuel Trélat , Enrique Zuazua

Discrete and Continuous Dynamical Systems - Series A, 2015, 35 (12), pp.6133--6153. ⟨10.3934/dcds.2015.35.6133⟩

Article dans une revue hal-00813647v2
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Optimal design of boundary observers for the wave equation

Pierre Jounieaux , Yannick Privat , Emmanuel Trélat

ESAIM: Proceedings, 2014, 45, pp.475--484. ⟨10.1051/proc/201445049⟩

Article dans une revue hal-00872346v2
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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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SHAPE DEFORMATION AND OPTIMAL CONTROL

Sylvain Arguillere , Emmanuel Trélat , Alain Trouvé , Laurent Younes

ESAIM: Proceedings, 2014, 45, pp.300 - 307. ⟨10.1051/proc/201445031⟩

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Optimal observation of the one-dimensional wave equation

Yannick Privat , Emmanuel Trélat , Enrique Zuazua

Journal of Fourier Analysis and Applications, 2013, 19 (3), pp.514-544. ⟨10.1007/s00041-013-9267-4⟩

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Optimal location of controllers for the one-dimensional wave equation

Yannick Privat , Emmanuel Trélat , Enrique Zuazua

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2013, 30 (6), pp.1097--1126. ⟨10.1016/j.anihpc.2012.11.005⟩

Article dans une revue hal-00683556v2
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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

Article dans une revue hal-00788477v1
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Optimal sensor location for wave and Schrödinger equations

Yannick Privat , Emmanuel Trélat , Enrique Zuazua

Proceedings HYP2012, 2013

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Sparse stabilization and optimal control of the Cucker-Smale Model

Marco Caponigro , Massimo Fornasier , Benedetto Piccoli , Emmanuel Trélat

Mathematical Control and Related Fields, 2013, 3 (4), pp.447--466. ⟨10.3934/mcrf.2013.3.447⟩

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Optimal control and applications to aerospace: some results and challenges

Emmanuel Trélat

Journal of Optimization Theory and Applications, 2012, 154 (3), pp.713--758

Article dans une revue hal-00669126v2
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Continuation from a flat to a round Earth model in the coplanar orbit transfer problem

Max Cerf , Thomas Haberkorn , Emmanuel Trélat

Optimal Control Applications and Methods, 2012, 33 (6), pp.654--675

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Stability properties of steady-states for a network of ferromagnetic nanowires

Stéphane Labbé , Yannick Privat , Emmanuel Trélat

Journal of Differential Equations, 2012, 253 (6), pp.1709-1728. ⟨10.1016/j.jde.2012.06.005⟩

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Eight-shaped Lissajous orbits in the Earth-Moon system

Grégory Archambeau , Philippe Augros , Emmanuel Trélat

MathematicS In Action, 2011, 4 (1), pp.1--23

Article dans une revue hal-00312910v2
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Convergence results for smooth regularizations of hybrid nonlinear optimal control problems

Thomas Haberkorn , Emmanuel Trélat

SIAM Journal on Control and Optimization, 2011, 49 (4), pp.1498--1522

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Min-max and min-min Stackelberg strategies with closed-loop information structure

Marc Jungers , Emmanuel Trélat , Hisham Abou-Kandil

Journal of Dynamical and Control Systems, 2011, 17 (3), pp.387-425. ⟨10.1007/s10883-011-9123-2⟩

Article dans une revue istex hal-00086780v3
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Théorie du contrôle, points de Lagrange, et exploration spatiale

Emmanuel Trélat

Images des mathématiques, 2010, http://images.math.cnrs.fr/Theorie-du-controle-points-de.html

Article dans une revue hal-00584899v1
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A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images

Maïtine Bergounioux , Emmanuel Trélat

Journal of Functional Analysis, 2010, 259, pp.2296--2332

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Asymptotic approach on conjugate points for minimal time bang-bang controls

Cristiana J. Silva , Emmanuel Trélat

Systems and Control Letters, 2010, 59, pp.720--733

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Smooth regularization of bang-bang optimal control problems

Cristiana J. Silva , Emmanuel Trélat

IEEE Transactions on Automatic Control, 2010, 55 (11), pp.2488--2499

Article dans une revue hal-00414680v3

O controlo optimo e as suas multiplas aplicações

Cristiana J. Silva , Delfim Torres , Emmanuel Trélat

Bol. Soc. Port. Mat., 2009, 61, pp.11-37

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Numerical study of optimal trajectories with singular arcs for an Ariane 5 launcher

Pierre Martinon , J. Frederic Bonnans , Julien Laurent-Varin , Emmanuel Trélat

Journal of Guidance, Control, and Dynamics, 2009, 32 (1), pp.51--55

Article dans une revue hal-00312012v1
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On the stabilization problem for nonholonomic distributions

Ludovic Rifford , Emmanuel Trélat

Journal of the European Mathematical Society, 2009, 11, pp.223--255

Article dans une revue hal-00105488v2
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Smooth control of nanowires by means of a magnetic field

Gilles Carbou , Stéphane Labbé , Emmanuel Trélat

Communications on Pure and Applied Mathematics, 2009, 8 (3), pp.871--879. ⟨10.3934/cpaa.2009.8.871⟩

Article dans une revue hal-00313779v1

A la conquête des points de Lagrange

Emmanuel Trélat

Microscoop : Un regard sur les laboratoires en Centre Limousin Poitou-Charentes (CNRS), 2009, Hors Série (18), pp.24--25

Article dans une revue hal-00443693v1
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Singular trajectories of control-affine systems

Yacine Chitour , Frédéric Jean , Emmanuel Trélat

SIAM Journal on Control and Optimization, 2008, 47 (2), pp.1078--1095. ⟨10.1137/060663003⟩

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Théorie du contrôle: contrôle optimal et stabilisation

Emmanuel Trélat

Microscoop : Un regard sur les laboratoires en Centre Limousin Poitou-Charentes (CNRS), 2008, 55, pp.14--15

Article dans une revue hal-00312014v1
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Singular arcs in the generalized Goddard's Problem

J. Frederic Bonnans , Pierre Martinon , Emmanuel Trélat

Journal of Optimization Theory and Applications, 2008, 139 (2), pp.439--461

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A penalization approach for tomographic reconstruction of binary axially symmetric objects

Romain Abraham , Maïtine Bergounioux , Emmanuel Trélat

Applied Mathematics and Optimization, 2008, 58 (3), pp.345-371. ⟨10.1007/s00245-008-9039-8⟩

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Nonlinear optimal control via occupation measures and LMI-relaxations

Jean-Bernard Lasserre , Didier Henrion , Christophe Prieur , Emmanuel Trélat

SIAM Journal on Control and Optimization, 2008, 47 (4), pp.1643--1666

Article dans une revue hal-00136032v3
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Control for Fast and Stable Laminar-to-High-Reynolds-Numbers Transfer in a 2D Navier-Stokes Channel Flow

Rafael Vazquez , Emmanuel Trélat , Jean-Michel Coron

Discrete and Continuous Dynamical Systems - Series B, 2008, 10 (4), pp.925--956

Article dans une revue hal-00131057v2
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Control of travelling walls in a ferromagnetic nanowire

Gilles Carbou , Stéphane Labbé , Emmanuel Trélat

Discrete and Continuous Dynamical Systems - Series S, 2008, 1 (1), pp.51-59. ⟨10.3934/dcdss.2008.1.51⟩

Article dans une revue hal-00092133v2

Tout est sous contrôle

Jean-Michel Coron , Emmanuel Trélat

Matapli, 2007, 83, pp.59--73

Article dans une revue hal-00312013v1
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On two hybrid robust optimal stabilization problems

Christophe Prieur , Emmanuel Trélat

International Journal of Tomography and Statistics, 2007, 6 (S07), pp.86--91

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Second order optimality conditions with applications

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat

Discrete and Continuous Dynamical Systems - Series A, 2007, Dynamical Systems and Differential Equations, Proceedings of the 6th AIMS International Conference,, pp.145--154

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Second order optimality conditions in the smooth case and applications in optimal control

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat

ESAIM: Control, Optimisation and Calculus of Variations, 2007, 13 (2), pp.207--236

Article dans une revue hal-00086380v1
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Singular trajectories and subanalyticity in optimal control and Hamilton-Jacobi theory

Emmanuel Trélat

Rend. Sem. Mat. Univ. Politec. Torino, 2006, 64 (1), pp.97--109

Article dans une revue hal-00086356v1
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Controllability of Couette flows

Michael Wi Schmidt , Emmanuel Trélat

Communications on Pure and Applied Mathematics, 2006, 5 (1), pp.201--211

Article dans une revue hal-00086351v1
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Global subanalytic solutions of Hamilton-Jacobi type equations

Emmanuel Trélat

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2006, 23 (3), pp.363--387

Article dans une revue hal-00086360v1
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Genericity results for singular curves

Yacine Chitour , Frédéric Jean , Emmanuel Trélat

Journal of Differential Geometry, 2006, 73 (1), pp.45-73. ⟨10.4310/jdg/1146680512⟩

Article dans une revue hal-00086357v1
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Global steady-state stabilization and controllability of 1-D semilinear wave equations

Jean-Michel Coron , Emmanuel Trélat

Communications in Contemporary Mathematics, 2006, 8 (4), pp.535--567. ⟨10.1142/s0219199706002209⟩

Article dans une revue hal-00086370v1
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Uniform controllability of semidiscrete approximations of parabolic control systems

Stéphane Labbé , Emmanuel Trélat

Systems and Control Letters, 2006, 55 (7), pp.597--609

Article dans une revue hal-00086374v1
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Commande mixte $H_2/H_\infty$ : une approche par la stratégie de Stackelberg

Marc Jungers , Emmanuel Trélat , Hisham Abou-Kandil

Journal Européen des Systèmes Automatisés, 2006, 40 (No. spécial "La synthèse multi-objectifs", no. 9-10), pp.1113--1139

Article dans une revue hal-00086393v1
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Quasi-optimal robust stabilization of control systems

Christophe Prieur , Emmanuel Trélat

SIAM Journal on Control and Optimization, 2006, 45, pp.1875-1897

Article dans une revue hal-00086384v1
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Robust stabilization in the Martinet case

Christophe Prieur , Emmanuel Trélat

Control and Cybernetics, 2006, 35 (4), pp.923--945

Article dans une revue hal-00086365v1
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Geometric optimal control of elliptic Keplerian orbits

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat

Discrete and Continuous Dynamical Systems - Series S, 2005, Series B, 5 (4), pp.929--956

Article dans une revue hal-00086345v1
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Robust optimal stabilization of the Brockett integrator via a hybrid feedback

Christophe Prieur , Emmanuel Trélat

Mathematics of Control, Signals, and Systems, 2005, 17 (3), pp.201--216. ⟨10.1007/s00498-005-0152-9⟩

Article dans une revue hal-00086343v1
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Morse-Sard type results in sub-Riemannian geometry

Ludovic Rifford , Emmanuel Trélat

Mathematische Annalen, 2005, 332 (1), pp.145--159

Article dans une revue hal-00086340v1
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Optimal control of the atmospheric arc of a space shuttle and numerical simulations with multiple-shooting method

Bernard Bonnard , Ludovic Faubourg , Emmanuel Trélat

Mathematical Models and Methods in Applied Sciences, 2005, 15 (1), pp.109--140. ⟨10.1142/s0218202505003927⟩

Article dans une revue hal-00086338v1
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Global steady-state controllability of 1-D semilinear heat equations

Jean-Michel Coron , Emmanuel Trélat

SIAM Journal on Control and Optimization, 2004, 43 (2), pp.549--569

Article dans une revue hal-00086332v1

Tout est sous contrôle

Jean-Michel Coron , Emmanuel Trélat

Plein Sud, 2004, Spécial Recherche, pp.126--131

Article dans une revue hal-00086812v1
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Optimal control of a space shuttle and numerical simulations

Emmanuel Trélat

Discrete and Continuous Dynamical Systems - Series S, 2003, suppl., pp.842--851

Article dans une revue hal-00086325v1
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Optimal control with state constraints and the space shuttle re-entry problem

Bernard Bonnard , Ludovic Faubourg , Geneviève Launay , Emmanuel Trélat

Journal of Dynamical and Control Systems, 2003, 9 (2), pp.155--199

Article dans une revue hal-00086315v1
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Generic properties of singular trajectories

Yacine Chitour , Frédéric Jean , Emmanuel Trélat

Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2003, 337 (1), pp.49--52

Article dans une revue hal-00086321v1

Solutions sous-analytiques globales de certaines équations d'Hamilton-Jacobi

Emmanuel Trélat

Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2003, 337 (10), pp.653--656

Article dans une revue hal-00086602v1

Introduction au contrôle optimal

Emmanuel Trélat

Revue de Math. Spé, Math. Concrètes, 2002, 3, pp.248--288

Article dans une revue hal-00086620v1
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Une approche géométrique du contrôle optimal de l'arc atmosphérique de la navette spatiale

Bernard Bonnard , Emmanuel Trélat

ESAIM: Control, Optimisation and Calculus of Variations, 2002, 7, pp.179--222

Article dans une revue hal-00086313v1
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Non subanalyticity of sub-Riemannian Martinet spheres

Emmanuel Trélat

Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2001, 332, pp.527--532

Article dans une revue hal-00086298v1
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On the role of abnormal minimizers in sub-Riemannian geometry

Bernard Bonnard , Emmanuel Trélat

Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2001, 6 (10) 3, pp.405--491

Article dans une revue hal-00086308v1
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Asymptotics of accessibility sets along an abnormal trajectory

Emmanuel Trélat

ESAIM: Control, Optimisation and Calculus of Variations, 2001, 6, pp.387--414

Article dans une revue hal-00086290v1
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The transcendence needed to compute the sphere and wave front in Martinet sub-Riemannian geometry

Bernard Bonnard , Geneviève Launay , Emmanuel Trélat

Journal of Mathematical Sciences, 2001, 103 (6), pp.686-708

Article dans une revue hal-00086288v1
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Some properties of the value function and its level sets for affine control systems with quadratic cost

Emmanuel Trélat

Journal of Dynamical and Control Systems, 2000, 6 (4), pp.511--541

Article dans une revue hal-00086284v1

Sub-Riemannian geometry: one-parameter deformation of the Martinet flat case

Bernard Bonnard , Monique Chyba , Emmanuel Trélat

Journal of Dynamical and Control Systems, 1998, 4 (1), pp.59--76

Article dans une revue hal-00086508v1
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Neumann trace tracking of a constant reference input for 1-D boundary controlled heat-like equations with delay

Hugo Lhachemi , Christophe Prieur , Emmanuel Trélat

IFAC WC 2020 - 21st IFAC World Congress, Jul 2020, Berlin (virtual), Germany. pp.7716-7721, ⟨10.1016/j.ifacol.2020.12.1517⟩

Communication dans un congrès hal-02958099v1
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Solving Optimal Control Problems for Delayed Control-Affine Systems with Quadratic Cost by Numerical Continuation

Riccardo Bonalli , Bruno Hérissé , Emmanuel Trélat

American Control Conference, May 2017, Seattle, United States

Communication dans un congrès hal-01490437v1

The Dubins Car Problem with Delay and Applications to Aeronautics Motion Planning Problems

Riccardo Bonalli , Bruno Hérissé , Helmut Maurer , Emmanuel Trélat

18th French - German - Italian Conference on Optimization (2017), Sep 2017, Paderborn, Germany

Communication dans un congrès hal-03467801v1
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Analytical Initialization of a Continuation-Based Indirect Method for Optimal Control of Endo-Atmospheric Launch Vehicle Systems

Riccardo Bonalli , Bruno Hérissé , Emmanuel Trélat

IFAC 2017, Jul 2017, Toulouse, France

Communication dans un congrès hal-01490440v1
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Optimal location of sensors and actuators for wave and heat processes

Yannick Privat , Emmanuel Trélat , Enrique Zuazua

Pde’s, Dispersion, Scattering theory and Control theory, Jun 2013, Monastir, Tunisia. pp.123--139

Communication dans un congrès hal-01582648v1
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Quantum ergodicity and quantum limits for sub-Riemannian Laplacians

Yves Colin de Verdière , Luc Hillairet , Emmanuel Trélat

Séminaire Laurent Schwartz — EDP et applications, 2015, Palaiseau, France

Communication dans un congrès hal-01147363v2
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Optimal design of sensors for a damped wave equation

Yannick Privat , Emmanuel Trélat

10th AIMS Conference, Nov 2015, madrid, France. pp.936--944, ⟨10.3934/proc.2015.0936⟩

Communication dans un congrès hal-01160306v1
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Pontryagin maximum principle for optimal sampled-data control problems

Loïc Bourdin , Emmanuel Trélat

The 16th IFAC Workshop on Control Applications of Optimization (CAO'2015), Oct 2015, Garmisch-Partenkirchen, Germany. ⟨10.1016/j.ifacol.2015.11.063⟩

Communication dans un congrès hal-01238220v1
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Phenotype heterogeneity in cancer cell populations

Luis Almeida , Rebecca H. Chisholm , Jean Clairambault , Alexandre Escargueil , Tommaso Lorenzi et al.

ICNAAM 2015 Session 70: "Mathematical models and methods to investigate heterogeneity in cell and cell population biology'', Jean Clairambault, Sep 2015, Rhodes, Greece

Communication dans un congrès hal-01249242v1
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Regularization of chattering phenomena via bounded variation controls

Roberta Ghezzi , Marco Caponigro , Benedetto Piccoli , Emmanuel Trélat

NETCO 2014, 2014, Tours, France

Communication dans un congrès hal-01024604v1
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On the best observation of wave and Schrödinger equations in quantum ergodic billiards

Yannick Privat , Emmanuel Trélat , Enrique Zuazua

Journées EDP, 2012, Biarritz, France. 13 p., ⟨10.5802/jedp.93⟩

Communication dans un congrès hal-00718677v1
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Dynamic practical stabilization of sampled-data linear distributed parameter systems

Ying Tan , Emmanuel Trélat , Yacine Chitour , Dragan Nesic

48h IEEE Conference on Decision and Control (CDC), Dec 2009, Shanghai, China. ⟨10.1109/cdc.2009.5399931⟩

Communication dans un congrès hal-00366232v2

A Stackelberg Game Approach to Mixed H2/Hinf Control

Marc Jungers , Emmanuel Trélat , Hisham Abou-Kandil

17th IFAC World Congress, Jul 2008, Seoul, South Korea. pp.3940-3945, ⟨10.3182/20080706-5-KR-1001.1513⟩

Communication dans un congrès hal-00307393v1
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Fast Tracking of Poiseuille Trajectories in Navier-Stokes 2D Channel Flow

Jean-Michel Coron , Emmanuel Trélat , Rafael Vazquez

CTS-HYCON Workshop, 2006, Paris, France. pp.699--720

Communication dans un congrès hal-00086480v1
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Stable Poiseuille flow transfer for a Navier-Stokes system

Rafael Vazquez , Emmanuel Trélat , Jean-Michel Coron

2006, 6 p

Communication dans un congrès hal-00086477v1
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Geometric analysis of minimum time Keplerian orbit transfers

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat

Proceedings of the 22nd IFIP TC 7 Conference on System Modeling and Optimization, Torino, Italy., 2006, Torino, Italy. 6 p

Communication dans un congrès hal-00086456v1
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Feedback stabilization along a path of steady-states for 1-D semilinear heat and wave equations

Jean-Michel Coron , Emmanuel Trélat

2005, 6 p

Communication dans un congrès hal-00086458v1
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Singular trajectories of driftless and control-affine systems

Yacine Chitour , Frédéric Jean , Emmanuel Trélat

44th IEEE Conference on Decision and Control, Dec 2005, seville, Spain. 6 p., ⟨10.1109/cdc.2005.1582278⟩

Communication dans un congrès hal-00086464v1
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Computation of conjugate times in smooth optimal control: the COTCOT algorithm

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat

2005, 6 p

Communication dans un congrès hal-00086460v1
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Semi-global minimal time hybrid robust stabilization of analytic driftless control-affine systems

Christophe Prieur , Emmanuel Trélat

2005, 6 p

Communication dans un congrès hal-00086462v1
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Robust optimal stabilization of the Brockett integrator via a hybrid feedback

Christophe Prieur , Emmanuel Trélat

Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS 2004), 2004, Leuven, Belgium. 6 p

Communication dans un congrès hal-00086453v1
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Contrôle optimal appliqué au problème de rentrée atmosphérique

Emmanuel Trélat

2004, 6 p

Communication dans un congrès hal-00086454v1
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Conjugate times for smooth singular trajectories and bang-bang extremals

Bernard Bonnard , Ludovic Faubourg , Emmanuel Trélat

2003, pp.177--182

Communication dans un congrès hal-00086443v1
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Classification of local optimal syntheses for time minimal control problems with state constraints

Bernard Bonnard , Ludovic Faubourg , Emmanuel Trélat

2003, pp.117--122

Communication dans un congrès hal-00086439v1
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Description of accessibility sets near an abnormal trajectory and consequences

Emmanuel Trélat

2002, pp.89--99

Communication dans un congrès hal-00086433v1
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Optimality of singular trajectories and asymptotics of accessibility sets under generic assumptions

Emmanuel Trélat

Contemporary trends in nonlinear geometric control theory and its applications (Mexico City, 2000), 2002, Mexico, Mexico. pp.441--458

Communication dans un congrès hal-00086429v1
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Stratification du secteur anormal dans la sphère de Martinet de petit rayon

Bernard Bonnard , Emmanuel Trélat

2001, pp.239--251

Communication dans un congrès hal-00086423v1
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The transcendence required for computing the sphere and wave front in the Martinet sub-Riemannian geometry

Bernard Bonnard , Geneviève Launay , Emmanuel Trélat

1999, pp.82--117

Communication dans un congrès hal-00086419v1
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Tumour growth and drug resistance: an evolutionary view with perspectives in therapeutics

Jean Clairambault , Luís Almeida , Rebecca Chisholm , Tommaso Lorenzi , Alexander Lorz et al.

ECMTB 2016 - European Conference on Mathematical and Theoretical Biology, Jul 2016, Nottingham, United Kingdom. 2016

Poster de conférence hal-01378290v1
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Zermelo navigation on the sphere with revolution metrics

Bernard Bonnard , Olivier Cots , Yannick Privat , Emmanuel Trélat

Ivan Kupka Legacy: A Tour Through Controlled Dynamics, 12, , pp.35--66, 2024, AIMS Applied Math Books - Special issue in honor of I. Kupka, 978-1-60133-026-0

Chapitre d'ouvrage hal-04433828v1
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An algorithmic guide for finite-dimensional optimal control problems

Jean-Baptiste Caillau , Roberto Ferretti , Emmanuel Trélat , Hasnaa Zidani

Handbook of numerical analysis: Numerical control, Part B, 24, North-Holland; Elsevier, pp.559-626, 2023, Handbook of Numerical Analysis, ⟨10.1016/bs.hna.2022.11.006⟩

Chapitre d'ouvrage hal-03883822v1
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Numerical issues and turnpike phenomenon in optimal shape design

Gontran Lance , Emmanuel Trélat , Enrique Zuazua

Roland Herzog; Matthias Heinkenschloss; Dante Kalise; Georg Stadler; Emmanuel Trélat. Optimization and control for partial differential equations: Uncertainty quantification, open and closed-loop control, and shape optimization, 29, De Gruyter, pp.343-366, 2022, Radon Series on Computational and Applied Mathematics, 9783110695960. ⟨10.1515/9783110695984⟩

Chapitre d'ouvrage hal-03660786v1
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Stabilization of semilinear PDE's, and uniform decay under discretization

Emmanuel Trélat

London Math. Soc. Lecture Note Ser., 439, 2018, Evolution equations: long time behavior and control

Chapitre d'ouvrage hal-01165329v1
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Why Is Evolution Important in Cancer and What Mathematics Should Be Used to Treat Cancer? Focus on Drug Resistance

Luís Almeida , Rebecca H Chisholm , Jean Clairambault , Tommaso Lorenzi , Alexander Lorz et al.

Trends in Biomathematics: Modeling, Optimization and Computational Problems: Selected works from the BIOMAT Consortium Lectures, Moscow 2017, Springer International Publishing, pp.107-120, 2018

Chapitre d'ouvrage hal-01618357v2
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Controllability of partial differential equations

Yacine Chitour , Emmanuel Trélat

Lecture Notes in Control and Information Sciences 328. Advanced Topics in Control Systems Theory, Springer, pp.171--198, 2006, ⟨10.1007/11583592_5⟩

Chapitre d'ouvrage hal-00086402v1
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Polynomial Turnpike Property for a Class of Infinite-Dimensional Oscillating Systems

Alexander Zuyev , Emmanuel Trélat

2026

Pré-publication, Document de travail hal-05533567v1
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Generalisation of Farkas' lemma beyond closedness: a constructive approach via Fenchel-Rockafellar duality

Camille Pouchol , Emmanuel Trélat , Christophe Zhang

2026

Pré-publication, Document de travail hal-05548185v1
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Stabilization of a Wave-Heat Cascade System

Hugo Lhachemi , Christophe Prieur , Emmanuel Trélat

2026

Pré-publication, Document de travail hal-05471728v1
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Weyl asymptotics for singular metrics with a variable boundary degeneracy exponent

Yves Colin de Verdière , Charlotte Dietze , Emmanuel Trélat

2026

Pré-publication, Document de travail hal-05554429v1
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Controllability of wave-heat and heat-wave cascades

Hugo Lhachemi , Christophe Prieur , Emmanuel Trélat

2026

Pré-publication, Document de travail hal-05471734v1
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Infinite-wise interactions: mean-field and graph limits for multiple-wise distinguishable agent systems}

Thierry Paul , Stefano Rossi , Emmanuel Trélat

2024

Pré-publication, Document de travail hal-04943832v2
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Universal approximations of quasilinear PDEs by finite distinguishable particle systems

Thierry Paul , Emmanuel Trélat

2024

Pré-publication, Document de travail hal-04895207v1
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Optimal dynamical stabilization

Arnaud Lazarus , Emmanuel Trélat

2025

Pré-publication, Document de travail hal-05165576v1
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Probabilistic algorithm for computing all local minimizers of Morse functions on a compact domain

Mohab Safey El Din , Georgy Scholten , Emmanuel Trélat

2025

Pré-publication, Document de travail hal-05160251v1
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Numerical solving of an optimal control problem in large time horizon: the aerial vehicle guidance

Veljko Askovic , Emmanuel Trélat , Hasnaa Zidani

2025

Pré-publication, Document de travail hal-04972531v1
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Stabilizability with bounded feedback for analytic linear control systems

Yaxing Ma , Emmanuel Trélat , Lijuan Wang , Huaiqiang Yu

2025

Pré-publication, Document de travail hal-05329288v1
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Turnpike in optimal control and beyond: a survey

Emmanuel Trélat , Enrique Zuazua

2025

Pré-publication, Document de travail hal-05002039v1
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A meaningful optimal control problem in quantum and classical physics

Arnaud Lazarus , Emmanuel Trélat

2025

Pré-publication, Document de travail hal-05166285v1
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Controllability and Stabilization of a Wave-Heat Cascade System

Hugo Lhachemi , Christophe Prieur , Emmanuel Trélat

2025

Pré-publication, Document de travail hal-05108681v1
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Withdrawal of: Solution of the Ovals problem

Yacine Chitour , Jochen Denzler , Frédéric Jean , Emmanuel Trélat

2025

Pré-publication, Document de travail hal-04974901v2
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Boundary control of heat-heat cascades

Hugo Lhachemi , Christophe Prieur , Emmanuel Trélat

2025

Pré-publication, Document de travail hal-05108772v1
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Constructive reachability for linear control problems under conic constraints

Camille Pouchol , Emmanuel Trélat , Christophe Zhang

2024

Pré-publication, Document de travail hal-04572161v1
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From microscopic to macroscopic scale dynamics: mean field, hydrodynamic and graph limits

Thierry Paul , Emmanuel Trélat

2024

Pré-publication, Document de travail hal-04577170v1
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From microscopic to macroscopic scale equations: mean field, hydrodynamic and graph limits

Thierry Paul , Emmanuel Trélat

2024

Pré-publication, Document de travail hal-03779694v3
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Weyl formulae for some singular metrics with application to acoustic modes in gas giants

Yves Colin de Verdìère , Charlotte Dietze , Maarten V. de Hoop , Emmanuel Trélat

2024

Pré-publication, Document de travail hal-04627841v2
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Spectral asymptotics for sub-Riemannian Laplacians

Yves Colin de Verdìère , Luc Hillairet , Emmanuel Trélat

2022

Pré-publication, Document de travail (preprint/prepublication) hal-03885610v1
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Spiraling of sub-Riemannian geodesics around the Reeb flow in the 3D contact case

Yves Colin de Verdière , Luc Hillairet , Emmanuel Trélat

2021

Pré-publication, Document de travail hal-03151365v1
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Observability for generalized Schrödinger equations and quantum limits on product manifolds

Emmanuel Humbert , Yannick Privat , Emmanuel Trélat

2020

Pré-publication, Document de travail hal-02496644v1
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Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits

Emmanuel Humbert , Yannick Privat , Emmanuel Trélat

2018

Pré-publication, Document de travail hal-01939709v1
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Fractional-order variational numerical methods for tomographic reconstruction of binary images

Maïtine Bergounioux , Erwann Le Pennec , Emmanuel Trélat

2018

Pré-publication, Document de travail hal-01794224v1
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Optimal Population Control Through Sterile Males

Emmanuel Trélat , Jiamin Zhu , Enrique Zuazua

2017

Pré-publication, Document de travail hal-01624448v1
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Solving nonlinear optimal control problems with state and control delays by shooting methods combined with numerical continuation on the delays

Riccardo Bonalli , Bruno Hérissé , Emmanuel Trélat

2017

Pré-publication, Document de travail (preprint/prepublication) hal-01587081v1
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Minimum Time-Energy Pull-up Maneuvers for Airborne Launch Vehicles

Jiamin Zhu , Emmanuel Trélat , Max Cerf

2016

Pré-publication, Document de travail hal-01205146v2
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A Stackelberg Game Approach to Mixed $H_2/H_\infty$ Control

Marc Jungers , Emmanuel Trélat , Hisham Abou-Kandil

2006

Pré-publication, Document de travail hal-00086395v1
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Second order optimality conditions in optimal control with applications

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat

2006

Pré-publication, Document de travail hal-00090374v1
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Generalization of the finite difference method in distributions spaces

Stéphane Labbé , Emmanuel Trélat

2006

Pré-publication, Document de travail hal-00097806v1
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Cotcot: short reference manual

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat

2005

Pré-publication, Document de travail hal-00086640v1
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Contrôle en dimension finie et infinie

Emmanuel Trélat

Mathématiques [math]. Université Paris Sud - Paris XI, 2005

HDR tel-00086509v1