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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, pp.1465--1507. ⟨10.4171/AIHPC/114⟩
Journal articles
hal-03889865v2
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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
Journal articles
hal-04361557v1
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Linear turnpike theorem
Emmanuel Trélat
Journal articles
hal-02978505v4
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Quantum Limits on product manifolds
Emmanuel Humbert
,
Yannick Privat
,
Emmanuel Trélat
Journal articles
hal-03562358v1
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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
Journal articles
hal-03210969v1
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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-01652890v3
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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
Journal articles
hal-03669889v1
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Proportional Integral regulation control of a one-dimensional semilinear wave equation
Hugo Lhachemi
,
Christophe Prieur
,
Emmanuel Trélat
Journal articles
hal-02872341v1
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Controlling swarms towards flocks and mills
José A Carrillo
,
Dante Kalise
,
Francesco Rossi
,
Emmanuel Trélat
Journal articles
hal-03167349v3
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Constructive exact control of semilinear 1D wave equations by a least-squares approach
Arnaud Munch
,
Emmanuel Trélat
Journal articles
hal-03007045v1
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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
Journal articles
hal-03524027v1
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Nonnegative control of finite-dimensional linear systems
Jérôme Lohéac
,
Emmanuel Trélat
,
Enrique Zuazua
Journal articles
hal-02335968v1
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Pace and motor control optimization for a runner
Amandine Aftalion
,
Emmanuel Trélat
Journal articles
hal-02613182v2
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PI Regulation of a Reaction-Diffusion Equation with Delayed Boundary Control
Hugo Lhachemi
,
Christophe Prieur
,
Emmanuel Trélat
Journal articles
hal-02294321v1
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Robustness under control sampling of reachability in fixed time for nonlinear control systems
Loïc Bourdin
,
Emmanuel Trélat
Journal articles
hal-02873100v1
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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
Journal articles
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
Journal articles
hal-02535865v1
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How to build a new athletic track to break records
Amandine Aftalion
,
Emmanuel Trélat
Journal articles
hal-02441643v2
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Shape turnpike for linear parabolic PDE models
Gontran Lance
,
Emmanuel Trélat
,
Enrique Zuazua
Journal articles
hal-02388972v2
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Characterization by observability inequalities of controllability and stabilization properties
Emmanuel Trélat
,
Gengsheng Wang
,
Yashan Xu
Journal articles
hal-01911941v1
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Optimal Control of Endo-Atmospheric Launch Vehicle Systems: Geometric and Computational Issues
Riccardo Bonalli
,
Bruno Hérissé
,
Emmanuel Trélat
Journal articles
hal-01626869v2
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Two-sided space-time $L^1$ approximation and optimal control of polynomial systems
Bruno Després
,
Emmanuel Trélat
Journal articles
hal-01487186v1
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Phase portrait control for 1D monostable and bistable reaction-diffusion equations
Camille Pouchol
,
Emmanuel Trélat
,
Enrique Zuazua
Journal articles
hal-01800382v1
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Sparse control of Hegselmann-Krause models: Black hole and declustering
Benedetto Piccoli
,
Nastassia Pouradier Duteil
,
Emmanuel Trélat
Journal articles
hal-01699261v2
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Continuity of Pontryagin Extremals with Respect to Delays in Nonlinear Optimal Control
Riccardo Bonalli
,
Bruno Hérissé
,
Emmanuel Trélat
Journal articles
hal-03466959v1
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Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions
Yannick Privat
,
Emmanuel Trélat
,
Enrique Zuazua
Journal articles
hal-01872896v2
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Observability properties of the homogeneous wave equation on a closed manifold
Emmanuel Humbert
,
Yannick Privat
,
Emmanuel Trélat
Journal articles
hal-01338016v4
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Feedback stabilization of a 1D linear reaction-diffusion equation with delay boundary control
Christophe Prieur
,
Emmanuel Trélat
Journal articles
hal-01583199v2
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Redundancy implies robustness for bang-bang strategies
Antoine Olivier
,
Thomas Haberkorn
,
Emmanuel Trélat
,
Eric Bourgeois
,
David-Alexis Handschuh
Journal articles
hal-01557937v1
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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-01696354v1
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Minimal controllability time for finite-dimensional control systems under state constraints
Jérôme Lohéac
,
Emmanuel Trélat
,
Enrique Zuazua
Journal articles
hal-01710759v1
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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
Journal articles
hal-01507063v1
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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-01313559v2
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Variational methods for tomographic reconstruction with few views
Maïtine Bergounioux
,
Isabelle Abraham
,
Romain Abraham
,
Guillaume Carlier
,
Erwan Le Pennec
Milan Journal of Mathematics, 2018, 86 (2), pp.157--200
Journal articles
hal-01817172v1
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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-01519490v1
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Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces
Emmanuel Trélat
,
Can Zhang
,
Enrique Zuazua
SIAM Journal on Control and Optimization, 2018, 56 (2), pp.1222-1252
Journal articles
hal-01377320v1
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Minimal time spiking in various ChR2-controlled neuron models
Vincent Renault
,
Michèle Thieullen
,
Emmanuel Trélat
Journal articles
hal-01320492v1
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New formulation of predictors for finite-dimensional linear control systems with input delay
Delphine Bresch-Pietri
,
Christophe Prieur
,
Emmanuel Trélat
Journal articles
hal-01226598v3
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Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays
Cristina Pignotti
,
Emmanuel Trélat
Communications in Mathematical Sciences, 2018, 16 (8), pp.2053--2076
Journal articles
hal-01562559v2
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Transfer Between Invariant Manifolds: From Impulse Transfer to Low-Thrust Transfer
Maxime Chupin
,
Thomas Haberkorn
,
Emmanuel Trélat
Journal articles
hal-01494042v2
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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-01442997v1
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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 articles
hal-01416594v1
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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-01470722v4
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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-01144257v4
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Regularization of chattering phenomena via bounded variation controls
Marco Caponigro
,
Roberta Ghezzi
,
Benedetto Piccoli
,
Emmanuel Trélat
Journal articles
hal-01359037v1
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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-01294160v1
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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-01443192v1
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Nonlinear damped partial differential equations and their uniform discretizations
Fatiha Alabau-Boussouira
,
Yannick Privat
,
Emmanuel Trélat
Journal articles
hal-01162639v2
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Addendum to Pontryagin's maximum principle for dynamic systems on time scales
Loïc Bourdin
,
Oleksandr Stanzhytskyi
,
Emmanuel Trélat
Journal articles
hal-01674566v1
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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-01261810v3
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Low-Thrust Lyapunov to Lyapunov and Halo to Halo with $L^2$-Minimization
Maxime Chupin
,
Thomas Haberkorn
,
Emmanuel Trélat
Journal articles
hal-01223738v2
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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-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
Journal articles
hal-01320498v1
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Sub-Riemannian structures on groups of diffeomorphisms
Sylvain Arguillere
,
Emmanuel Trélat
Journal articles
hal-01069810v2
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Minimal controllability time for the heat equation under unilateral state or control constraints
Jérôme Lohéac
,
Emmanuel Trélat
,
Enrique Zuazua
Journal articles
hal-01457931v1
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Mean-Field Sparse Jurdjevic–Quinn Control
Marco Caponigro
,
Benedetto Piccoli
,
Francesco Rossi
,
Emmanuel Trélat
Journal articles
hal-01426410v1
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Sparse Jurdjevic–Quinn stabilization of dissipative systems
Marco Caponigro
,
Benedetto Piccoli
,
Francesco Rossi
,
Emmanuel Trélat
Journal articles
hal-01397843v3
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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-01304197v1
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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-01139640v1
|
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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-01110750v2
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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-01151672v1
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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-01160377v2
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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-01145876v1
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Minimum time control of the rocket attitude reorientation associated with orbit dynamics
Jiamin Zhu
,
Emmanuel Trélat
,
Max Cerf
Journal articles
hal-01170274v2
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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-01202251v1
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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-00755281v3
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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
Journal articles
hal-00813647v2
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|
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-01277412v1
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Control to flocking of the kinetic Cucker-Smale model
Benedetto Piccoli
,
Francesco Rossi
,
Emmanuel Trélat
Journal articles
hal-01084257v1
|
|
Control and stabilization of steady-states in a finite-length ferromagnetic nanowire
Yannick Privat
,
Emmanuel Trélat
Journal articles
hal-00873556v2
|
|
Shape deformation analysis from the optimal control viewpoint
Sylvain Arguillere
,
Emmanuel Trélat
,
Alain Trouvé
,
Laurent Younes
Journal articles
hal-00923570v1
|
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High order variational integrators in the optimal control of mechanical systems
Cédric M. Campos
,
Sina Ober-Blöbaum
,
Emmanuel Trélat
Journal articles
hal-01122910v1
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Sparse stabilization and control of the Cucker-Smale model
Marco Caponigro
,
Massimo Fornasier
,
Benedetto Piccoli
,
Emmanuel Trélat
Journal articles
hal-00743792v1
|
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The turnpike property in finite-dimensional nonlinear optimal control
Emmanuel Trélat
,
Enrique Zuazua
Journal of Differential Equations, 2015, 258, pp.81--114
Journal articles
hal-00946536v1
|
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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-00965668v1
|
|
SHAPE DEFORMATION AND OPTIMAL CONTROL
Sylvain Arguillere
,
Emmanuel Trélat
,
Alain Trouvé
,
Laurent Younes
Journal articles
hal-01082328v1
|
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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-00767661v1
|
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Optimal design of boundary observers for the wave equation
Pierre Jounieaux
,
Yannick Privat
,
Emmanuel Trélat
Journal articles
hal-00872346v2
|
|
Sparse stabilization and optimal control of the Cucker-Smale Model
Marco Caponigro
,
Massimo Fornasier
,
Benedetto Piccoli
,
Emmanuel Trélat
Journal articles
hal-00861910v1
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Optimal location of controllers for the one-dimensional wave equation
Yannick Privat
,
Emmanuel Trélat
,
Enrique Zuazua
Journal articles
hal-00683556v2
|
|
Pontryagin Maximum Principle for finite dimensional nonlinear optimal control problems on time scales
Loïc Bourdin
,
Emmanuel Trélat
SIAM Journal on Control and Optimization, 2013, 51 (5), pp.3781--3813
Journal articles
hal-00788477v1
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Optimal observation of the one-dimensional wave equation
Yannick Privat
,
Emmanuel Trélat
,
Enrique Zuazua
Journal articles
hal-00679577v1
|
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Optimal sensor location for wave and Schrödinger equations
Yannick Privat
,
Emmanuel Trélat
,
Enrique Zuazua
Proceedings HYP2012, 2013
Journal articles
hal-00758908v2
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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-00542967v2
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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-00669126v2
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Stability properties of steady-states for a network of ferromagnetic nanowires
Stéphane Labbé
,
Yannick Privat
,
Emmanuel Trélat
Journal articles
hal-00492758v2
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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-00519458v1
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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-00312910v2
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Min-max and min-min Stackelberg strategies with closed-loop information structure
Marc Jungers
,
Emmanuel Trélat
,
Hisham Abou-Kandil
Journal articles
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
Journal articles
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
Journal articles
hal-00458340v1
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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-00477008v2
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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-00414680v3
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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-00443693v1
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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-00105488v2
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Smooth control of nanowires by means of a magnetic field
Gilles Carbou
,
Stéphane Labbé
,
Emmanuel Trélat
Journal articles
hal-00313779v1
|
|
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-00312012v1
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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-00443692v1
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Control of travelling walls in a ferromagnetic nanowire
Gilles Carbou
,
Stéphane Labbé
,
Emmanuel Trélat
Journal articles
hal-00092133v2
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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-00312010v1
|
|
A penalization approach for tomographic reconstruction of binary axially symmetric objects
Romain Abraham
,
Maïtine Bergounioux
,
Emmanuel Trélat
Journal articles
hal-00139494v2
|
|
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-00131057v2
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|
Singular trajectories of control-affine systems
Yacine Chitour
,
Frédéric Jean
,
Emmanuel Trélat
Journal articles
hal-00086397v1
|
|
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-00312014v1
|
|
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-00136032v3
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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-00086380v1
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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-00105493v1
|
|
Tout est sous contrôle
Jean-Michel Coron
,
Emmanuel Trélat
Matapli, 2007, 83, pp.59--73
Journal articles
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
Journal articles
hal-00086469v1
|
|
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-00086384v1
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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-00086351v1
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Genericity results for singular curves
Yacine Chitour
,
Frédéric Jean
,
Emmanuel Trélat
Journal articles
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
Journal articles
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
Journal articles
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 (JESA), 2006, 40 (No. spécial "La synthèse multi-objectifs", no. 9-10), pp.1113--1139
Journal articles
hal-00086393v1
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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-00086356v1
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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-00086360v1
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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-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
Journal articles
hal-00086345v1
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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-00086340v1
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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-00086343v1
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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-00086338v1
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Tout est sous contrôle
Jean-Michel Coron
,
Emmanuel Trélat
Plein Sud, 2004, Spécial Recherche, pp.126--131
Journal articles
hal-00086812v1
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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-00086332v1
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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-00086321v1
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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-00086602v1
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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-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
Journal articles
hal-00086315v1
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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-00086313v1
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Introduction au contrôle optimal
Emmanuel Trélat
Revue de Math. Spé, Math. Concrètes, 2002, 3, pp.248--288
Journal articles
hal-00086620v1
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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-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
Journal articles
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
Journal articles
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
Journal articles
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
Journal articles
hal-00086284v1
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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-00086508v1
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