Emmanuel Trélat

217
Documents

Publications

Publications

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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⟩
Journal articles hal-03889865 v2
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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
Journal articles hal-03975698 v1
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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
Journal articles hal-02163854 v1
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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⟩
Journal articles hal-04361557 v1
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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⟩
Journal articles hal-04345255 v1
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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⟩
Journal articles hal-02978505 v4
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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⟩
Journal articles hal-03562358 v1
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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⟩
Journal articles hal-02872341 v1
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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⟩
Journal articles hal-03669889 v1
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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⟩
Journal articles hal-03210969 v1
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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⟩
Journal articles hal-01652890 v3
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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⟩
Journal articles hal-03167349 v3
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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⟩
Journal articles hal-03007045 v1
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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⟩
Journal articles hal-02613182 v2
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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⟩
Journal articles hal-02335968 v1
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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⟩
Journal articles hal-03524027 v1
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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-02294321 v1
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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⟩
Journal articles hal-02873100 v1
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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⟩
Journal articles hal-02473706 v1
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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⟩
Journal articles hal-02535865 v1
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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⟩
Journal articles hal-01911941 v1
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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⟩
Journal articles hal-01626869 v2
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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⟩
Journal articles hal-01487186 v1
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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⟩
Journal articles hal-02388972 v2
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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⟩
Journal articles hal-02441643 v2
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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⟩
Journal articles hal-01583199 v2
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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⟩
Journal articles hal-01800382 v1
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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⟩
Journal articles hal-01699261 v2
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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⟩
Journal articles hal-03466959 v1
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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⟩
Journal articles hal-01872896 v2
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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⟩
Journal articles hal-01557937 v1
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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⟩
Journal articles hal-01338016 v4
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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⟩
Journal articles hal-01416594 v1
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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
Journal articles hal-01519490 v1
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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
Journal articles hal-01313559 v2
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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
Journal articles hal-01817172 v1
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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⟩
Journal articles hal-01710759 v1
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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⟩
Journal articles hal-01507063 v1
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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-01377320 v1
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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⟩
Journal articles hal-01320492 v1
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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-01562559 v2
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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⟩
Journal articles hal-01226598 v3
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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⟩
Journal articles hal-01494042 v2
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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
Journal articles hal-01696354 v1
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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
Journal articles hal-01470722 v4
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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
Journal articles hal-01144257 v4
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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⟩
Journal articles hal-01359037 v1
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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
Journal articles hal-01442997 v1
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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⟩
Journal articles hal-01457931 v1
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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⟩
Journal articles hal-01397843 v3
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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⟩
Journal articles hal-01426410 v1
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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⟩
Journal articles hal-01674566 v1
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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⟩
Journal articles hal-01162639 v2
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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
Journal articles hal-01261810 v3
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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
Journal articles hal-01320498 v1
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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
Journal articles hal-01342398 v2
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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⟩
Journal articles hal-01223738 v2
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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⟩
Journal articles hal-01069810 v2
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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
Journal articles hal-01294160 v1
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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
Journal articles hal-01443192 v1
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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
Journal articles hal-01304197 v1
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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
Journal articles hal-01160377 v2
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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
Journal articles hal-01145876 v1
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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-01170274 v2
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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
Journal articles hal-01202251 v1
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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
Journal articles hal-01139640 v1
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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
Journal articles hal-01151672 v1
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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
Journal articles hal-01110750 v2
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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⟩
Journal articles hal-00755281 v3
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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⟩
Journal articles hal-00873556 v2
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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⟩
Journal articles hal-00923570 v1
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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⟩
Journal articles hal-01122910 v1
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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⟩
Journal articles hal-01084257 v1
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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
Journal articles hal-00965668 v1
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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-00946536 v1
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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⟩
Journal articles hal-00743792 v1
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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⟩
Journal articles hal-00813647 v2

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⟩
Journal articles hal-01277412 v1
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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
Journal articles hal-00767661 v1
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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⟩
Journal articles hal-01082328 v1
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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⟩
Journal articles hal-00872346 v2
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Optimal sensor location for wave and Schrödinger equations

Yannick Privat , Emmanuel Trélat , Enrique Zuazua
Proceedings HYP2012, 2013
Journal articles hal-00758908 v2
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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⟩
Journal articles hal-00683556 v2
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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-00788477 v1
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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⟩
Journal articles hal-00861910 v1
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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⟩
Journal articles hal-00679577 v1
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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
Journal articles hal-00542967 v2
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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⟩
Journal articles hal-00492758 v2
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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
Journal articles hal-00669126 v2
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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
Journal articles hal-00519458 v1
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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⟩
Journal articles istex hal-00086780 v3
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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
Journal articles hal-00312910 v2
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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
Journal articles hal-00584899 v1
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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
Journal articles hal-00458340 v1
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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
Journal articles hal-00477008 v2
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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
Journal articles hal-00414680 v3
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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
Journal articles hal-00312012 v1

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
Journal articles hal-00443693 v1
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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
Journal articles hal-00105488 v2
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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⟩
Journal articles hal-00313779 v1

O controlo optimo e as suas multiplas aplicações

Cristiana J. Silva , Delfim Torres , Emmanuel Trélat
Bol. Soc. Port. Mat., 2009, 61, pp.11-37
Journal articles hal-00443692 v1
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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
Journal articles hal-00136032 v3
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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
Journal articles hal-00312010 v1
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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⟩
Journal articles istex hal-00139494 v2
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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
Journal articles hal-00131057 v2
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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⟩
Journal articles hal-00092133 v2

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
Journal articles hal-00312014 v1
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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⟩
Journal articles hal-00086397 v1
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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
Journal articles hal-00086469 v1
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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
Journal articles hal-00105493 v1
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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
Journal articles hal-00086380 v1

Tout est sous contrôle

Jean-Michel Coron , Emmanuel Trélat
Matapli, 2007, 83, pp.59--73
Journal articles hal-00312013 v1
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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
Journal articles hal-00086360 v1
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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⟩
Journal articles hal-00086357 v1
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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
Journal articles hal-00086351 v1
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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
Journal articles hal-00086393 v1
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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
Journal articles hal-00086370 v1
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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
Journal articles hal-00086374 v1
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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
Journal articles hal-00086384 v1
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Robust stabilization in the Martinet case

Christophe Prieur , Emmanuel Trélat
Control and Cybernetics, 2006, 35 (4), pp.923--945
Journal articles hal-00086365 v1
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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
Journal articles hal-00086356 v1
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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
Journal articles hal-00086345 v1
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Morse-Sard type results in sub-Riemannian geometry

Ludovic Rifford , Emmanuel Trélat
Mathematische Annalen, 2005, 332 (1), pp.145--159
Journal articles hal-00086340 v1
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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
Journal articles hal-00086343 v1
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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
Journal articles hal-00086338 v1

Tout est sous contrôle

Jean-Michel Coron , Emmanuel Trélat
Plein Sud, 2004, Spécial Recherche, pp.126--131
Journal articles hal-00086812 v1
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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
Journal articles hal-00086332 v1
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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
Journal articles hal-00086321 v1

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
Journal articles hal-00086602 v1
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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
Journal articles hal-00086325 v1
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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
Journal articles hal-00086315 v1
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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
Journal articles hal-00086313 v1

Introduction au contrôle optimal

Emmanuel Trélat
Revue de Math. Spé, Math. Concrètes, 2002, 3, pp.248--288
Journal articles hal-00086620 v1
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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
Journal articles hal-00086308 v1
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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
Journal articles hal-00086298 v1
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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
Journal articles hal-00086290 v1
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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
Journal articles hal-00086288 v1
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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
Journal articles hal-00086284 v1

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
Journal articles hal-00086508 v1
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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⟩
Conference papers hal-02958099 v1
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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
Conference papers hal-01582648 v1

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
Conference papers hal-03467801 v1
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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
Conference papers hal-01490440 v1
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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
Conference papers hal-01490437 v1
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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⟩
Conference papers hal-01160306 v1
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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⟩
Conference papers hal-01238220 v1
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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
Conference papers hal-01147363 v2
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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
Conference papers hal-01249242 v1
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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⟩
Conference papers hal-00718677 v1
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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⟩
Conference papers hal-00366232 v2

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⟩
Conference papers hal-00307393 v1
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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
Conference papers hal-00086480 v1
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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
Conference papers hal-00086456 v1
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Stable Poiseuille flow transfer for a Navier-Stokes system

Rafael Vazquez , Emmanuel Trélat , Jean-Michel Coron
2006, 6 p
Conference papers hal-00086477 v1
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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⟩
Conference papers hal-00086464 v1
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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
Conference papers hal-00086460 v1
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Semi-global minimal time hybrid robust stabilization of analytic driftless control-affine systems

Christophe Prieur , Emmanuel Trélat
2005, 6 p
Conference papers hal-00086462 v1
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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
Conference papers hal-00086458 v1
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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
Conference papers hal-00086453 v1
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Contrôle optimal appliqué au problème de rentrée atmosphérique

Emmanuel Trélat
2004, 6 p
Conference papers hal-00086454 v1
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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
Conference papers hal-00086439 v1
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Conjugate times for smooth singular trajectories and bang-bang extremals

Bernard Bonnard , Ludovic Faubourg , Emmanuel Trélat
2003, pp.177--182
Conference papers hal-00086443 v1
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Description of accessibility sets near an abnormal trajectory and consequences

Emmanuel Trélat
2002, pp.89--99
Conference papers hal-00086433 v1
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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
Conference papers hal-00086429 v1
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Stratification du secteur anormal dans la sphère de Martinet de petit rayon

Bernard Bonnard , Emmanuel Trélat
2001, pp.239--251
Conference papers hal-00086423 v1
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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
Conference papers hal-00086419 v1
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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
Conference poster hal-01378290 v1
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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, ISBN-10: 1-60133-026-X ISBN-13: 978-1-60133-026-0
Book sections hal-04433828 v1
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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⟩
Book sections hal-03883822 v1
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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⟩
Book sections hal-03660786 v1
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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
Book sections hal-01618357 v2
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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
Book sections hal-01165329 v1
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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⟩
Book sections hal-00086402 v1
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Turnpike in optimal control and beyond: a survey

Emmanuel Trélat , Enrique Zuazua
2025
Preprints, Working Papers, ... hal-05002039 v1
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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
Preprints, Working Papers, ... hal-04972531 v1
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Multi-agent systems with multiple-wise interaction: Propagation of chaos and macroscopic limit

Thierry Paul , Stefano Rossi , Emmanuel Trélat
2024
Preprints, Working Papers, ... hal-04943832 v1
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Universal approximations of quasilinear PDEs by finite distinguishable particle systems

Thierry Paul , Emmanuel Trélat
2024
Preprints, Working Papers, ... hal-04895207 v1
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Solution of the Ovals problem

Yacine Chitour , Jochen Denzler , Frédéric Jean , Emmanuel Trélat
2025
Preprints, Working Papers, ... hal-04974901 v1
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Internal control of the transition kernel for stochastic lattice dynamics

Amirali Hannani , Minh Nhat Phung , Minh-Binh Tran , Emmanuel Trélat
2024
Preprints, Working Papers, ... hal-04717306 v1
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The exponential turnpike property for periodic linear quadratic optimal control problems in infinite dimension

Emmanuel Trélat , Xingwu Zeng , Can Zhang
2024
Preprints, Working Papers, ... hal-04433814 v1
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Constructive reachability for linear control problems under conic constraints

Camille Pouchol , Emmanuel Trélat , Christophe Zhang
2024
Preprints, Working Papers, ... hal-04572161 v1
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Large-time optimal observation domain for linear parabolic systems

Idriss Mazari , Yannick Privat , Emmanuel Trélat
2024
Preprints, Working Papers, ... hal-04440343 v1
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From microscopic to macroscopic scale dynamics: mean field, hydrodynamic and graph limits

Thierry Paul , Emmanuel Trélat
2024
Preprints, Working Papers, ... hal-04577170 v1
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From microscopic to macroscopic scale equations: mean field, hydrodynamic and graph limits

Thierry Paul , Emmanuel Trélat
2024
Preprints, Working Papers, ... hal-03779694 v3
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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
2024
Preprints, Working Papers, ... hal-04507495 v1
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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
Preprints, Working Papers, ... hal-04627841 v2
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Numerics for finite-dimensional optimal control problems

Jean-Baptiste Caillau , Roberto Ferretti , Emmanuel Trélat , Hasnaa Zidani
2022
Preprints, Working Papers, ... hal-03707475 v1
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Spectral asymptotics for sub-Riemannian Laplacians

Yves Colin de Verdìère , Luc Hillairet , Emmanuel Trélat
2022
Preprints, Working Papers, ... (Preprint) hal-03885610 v1
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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
Preprints, Working Papers, ... hal-03151365 v1
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Observability for generalized Schrödinger equations and quantum limits on product manifolds

Emmanuel Humbert , Yannick Privat , Emmanuel Trélat
2020
Preprints, Working Papers, ... hal-02496644 v1
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Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits

Emmanuel Humbert , Yannick Privat , Emmanuel Trélat
2018
Preprints, Working Papers, ... hal-01939709 v1
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Fractional-order variational numerical methods for tomographic reconstruction of binary images

Maïtine Bergounioux , Erwann Le Pennec , Emmanuel Trélat
2018
Preprints, Working Papers, ... hal-01794224 v1
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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
Preprints, Working Papers, ... (Preprint) hal-01587081 v1
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Optimal Population Control Through Sterile Males

Emmanuel Trélat , Jiamin Zhu , Enrique Zuazua
2017
Preprints, Working Papers, ... hal-01624448 v1
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Minimum Time-Energy Pull-up Maneuvers for Airborne Launch Vehicles

Jiamin Zhu , Emmanuel Trélat , Max Cerf
2016
Preprints, Working Papers, ... hal-01205146 v2
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A Stackelberg Game Approach to Mixed $H_2/H_\infty$ Control

Marc Jungers , Emmanuel Trélat , Hisham Abou-Kandil
2006
Preprints, Working Papers, ... hal-00086395 v1
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Second order optimality conditions in optimal control with applications

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat
2006
Preprints, Working Papers, ... hal-00090374 v1
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Generalization of the finite difference method in distributions spaces

Stéphane Labbé , Emmanuel Trélat
2006
Preprints, Working Papers, ... hal-00097806 v1
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Cotcot: short reference manual

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat
2005
Preprints, Working Papers, ... hal-00086640 v1
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Contrôle en dimension finie et infinie

Emmanuel Trélat
Mathématiques [math]. Université Paris Sud - Paris XI, 2005
Habilitation à diriger des recherches tel-00086509 v1