# Emmanuel Trélat

French mathematician

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## Why Is Emmanuel Trélat Influential?

(Suggest an Edit or Addition)According to Wikipedia, Emmanuel Trélat is a French mathematician. Education and career Emmanuel Trélat was admitted at École normale supérieure de Cachan in 1995 and obtained the agrégation in 1998. In 2000, he obtained a doctorate under the direction of Bernard Bonnard at the University of Burgundy at Dijon with thesis titled Étude asymptotique et transcendance de la fonction valeur en contrôle optimal; catégorie log-exp en géométrie sous-Riemannienne dans le cas Martinet . In 2001 he was appointed an assistant professor at the University of Paris-Sud, where he obtained in 2005 his habilitation Contrôle en dimension finie et infinie . In 2006 he was appointed a professor at the University of Orleans. Since 2011 he has been a professor at Sorbonne Université at the . From 2015 to 2019 he was the director of the . Since 2020, he is the director of the .

## Emmanuel Trélat's Published Works

### Published Works

- Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations (2007) (265)
- Optimal Control and Applications to Aerospace: Some Results and Challenges (2012) (172)
- Genericity results for singular curves (2006) (138)
- Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations (2004) (130)
- Second order optimality conditions in the smooth case and applications in optimal control (2007) (115)
- Morse-Sard type results in sub-Riemannian geometry (2005) (100)
- Sparse stabilization and optimal control of the Cucker-Smale model (2013) (96)
- Uniform controllability of semidiscrete approximations of parabolic control systems (2006) (94)
- Singular Trajectories of Control-Affine Systems (2006) (92)
- Control to Flocking of the Kinetic Cucker-Smale Model (2014) (82)
- Some Properties of the Value Function and Its Level Sets for Affine Control Systems with Quadratic Cost (2000) (77)
- GLOBAL STEADY-STATE STABILIZATION AND CONTROLLABILITY OF 1D SEMILINEAR WAVE EQUATIONS (2006) (73)
- Feedback Stabilization of a 1-D Linear Reaction–Diffusion Equation With Delay Boundary Control (2017) (72)
- Optimal Control with State Constraints and the Space Shuttle Re-entry Problem (2003) (67)
- Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data (2014) (66)
- Smooth Regularization of Bang-Bang Optimal Control Problems (2010) (66)
- Singular Arcs in the Generalized Goddard’s Problem (2007) (65)
- Geometric optimal control of elliptic Keplerian orbits (2005) (60)
- Optimal location of controllers for the one-dimensional wave equation (2013) (58)
- Optimal Observation of the One-dimensional Wave Equation (2013) (56)
- Steady-State and Periodic Exponential Turnpike Property for Optimal Control Problems in Hilbert Spaces (2016) (55)
- Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property (2015) (54)
- Convergence Results for Smooth Regularizations of Hybrid Nonlinear Optimal Control Problems (2011) (53)
- Numerical Study of Optimal Trajectories with Singular Arcs for an Ariane 5 Launcher (2009) (47)
- Pontryagin Maximum Principle for Finite Dimensional Nonlinear Optimal Control Problems on Time Scales (2013) (47)
- CONTROL FOR FAST AND STABLE LAMINAR-TO-HIGH-REYNOLDS-NUMBERS TRANSFER IN A 2D NAVIER-STOKES CHANNEL FLOW (2008) (46)
- Robust optimal stabilization of the Brockett integrator via a hybrid feedback (2005) (44)
- Minimal controllability time for the heat equation under unilateral state or control constraints (2017) (41)
- Integral and measure-turnpike properties for infinite-dimensional optimal control systems (2017) (39)
- Controllability of partial differential equations (2006) (39)
- Min-max and min-min stackelberg strategies with closed-loop information structure (2011) (35)
- Continuation from a flat to a round Earth model in the coplanar orbit transfer problem (2012) (31)
- Global steady-state controllability of 1-D semilinear heat equations (2004) (29)
- PI Regulation of a Reaction–Diffusion Equation With Delayed Boundary Control (2019) (27)
- Complexity and regularity of maximal energy domains for the wave equation with fixed initial data (2015) (27)
- Quasi-Optimal Robust Stabilization of Control Systems (2006) (26)
- Actuator Design for Parabolic Distributed Parameter Systems with the Moment Method (2017) (25)
- OPTIMAL CONTROL OF THE ATMOSPHERIC ARC OF A SPACE SHUTTLE AND NUMERICAL SIMULATIONS WITH MULTIPLE-SHOOTING METHOD (2005) (25)
- New formulation of predictors for finite-dimensional linear control systems with input delay (2018) (25)
- Sparse Control of Hegselmann-Krause Models: Black Hole and Declustering (2018) (24)
- Geometric optimal control and applications to aerospace (2017) (21)
- Solving chance constrained optimal control problems in aerospace via kernel density estimation (2018) (21)
- Sparse Stabilization and Control of the Cucker-Smale Model (2012) (20)
- Minimum Time Control of the Rocket Attitude Reorientation Associated with Orbit Dynamics (2015) (20)
- Linear-quadratic optimal sampled-data control problems: Convergence result and Riccati theory (2016) (20)
- Impulse and Sampled-Data Optimal Control of Heat Equations, and Error Estimates (2015) (20)
- Eight-shaped Lissajous orbits in the Earth-Moon system (2011) (20)
- Dynamic practical stabilization of sampled-data linear distributed parameter systems (2009) (19)
- Allee optimal control of a system in ecology (2018) (19)
- Regularization of Chattering Phenomena via Bounded Variation Controls (2013) (19)
- Controllability of couette flows (2005) (19)
- A Penalization Approach for Tomographic Reconstruction of Binary Axially Symmetric Objects (2008) (19)
- A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images (2010) (18)
- Sparse Jurdjevic-Quinn stabilization of dissipative systems (2017) (16)
- General Cauchy–Lipschitz theory for Δ-Cauchy problems with Carathéodory dynamics on time scales (2014) (16)
- Minimal controllability time for finite-dimensional control systems under state constraints (2018) (16)
- Stability properties of steady-states for a network of ferromagnetic nanowires (2012) (16)
- Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations (2017) (14)
- Optimal control of a space shuttle, and numerical simulations (2003) (14)
- SUB-RIEMANNIAN STRUCTURES ON GROUPS OF DIFFEOMORPHISMS (2014) (13)
- Shape turnpike for linear parabolic PDE models (2019) (12)
- Optimal shape design for 2D heat equations in large time (2017) (12)
- A Stackelberg Game Approach to Mixed H2 /H∞Control (2008) (12)
- Sub-Riemannian Geometry: One-Parameter Deformation of the Martinet Flat Case (1998) (12)
- Stackelberg strategy with closed-loop information structure for linear-quadratic games (2006) (11)
- Smooth control of nanowires by means of a magnetic field (2009) (11)
- Sparse feedback stabilization of multi-agent dynamics (2016) (10)
- Registration of Multiple Shapes using Constrained Optimal Control (2016) (9)
- Second order optimality conditions with applications (2007) (9)
- Solving optimal control problems for delayed control-affine systems with quadratic cost by numerical continuation (2017) (9)
- Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via Optogenetics (2016) (8)
- Cotcot: short reference manual (2005) (8)
- The Transcendence Needed to Compute the Sphere and the Wave Front in Martinet SR-Geometry (2001) (8)
- Randomised observation, control and stabilization of waves (2016) (8)
- Low-Thrust Lyapunov to Lyapunov and Halo to Halo with $L^2$-Minimization (2015) (7)
- Asymptotic approach on conjugate points for minimal time bang-bang controls (2010) (7)
- Continuity of Pontryagin Extremals with Respect to Delays in Nonlinear Optimal Control (2018) (7)
- Stable Poiseuille flow transfer for a Navier-Stokes system (2006) (6)
- On Sharpness of the Local Kato Smoothing Property of Dispersive Wave Equations (2016) (6)
- Nonnegative control of finite-dimensional linear systems (2020) (6)
- Variational Methods for Tomographic Reconstruction with Few Views (2018) (5)
- Minimal time spiking in various ChR2-controlled neuron models (2016) (5)
- Control of COVID-19 outbreak using an extended SEIR model (2021) (5)
- Semi-global minimal time hybrid robust stabilization of analytic driftless control-affine systems (2005) (5)
- Value Function and Optimal Trajectories for Regional Control Problems via Dynamic Programming and Pontryagin Maximum Principles (2016) (5)
- Non-subanalyticity of sub-Riemannian Martinet spheres (2001) (4)
- Optimal shape and location of sensors or actuators in PDE models (2014) (4)
- Computation of conjugate times in smooth optimal control: the COTCOT algorithm (2005) (4)
- Transfer Between Invariant Manifolds: From Impulse Transfer to Low-Thrust Transfer (2017) (4)
- Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions (2018) (4)
- On the best observation of wave and Schrödinger equations in quantum ergodic billiards (2012) (4)
- Feedback stabilization along a path of steady-states for 1-D semilinear heat and wave equations (2005) (4)
- How to build a new athletic track to break records (2020) (4)
- Why Is Evolution Important in Cancer and What Mathematics Should Be Used to Treat Cancer? Focus on Drug Resistance (2018) (4)
- Optimal design of sensors for a damped wave equation (2015) (4)
- Stabilization of semilinear PDE's, and uniform decay under discretization (2015) (3)
- Eight Lissajous orbits in the Earth-Moon system (2008) (3)
- Sparse control of second-order cooperative systems and partial differential equations to approximate alignment * (2016) (3)
- Singular trajectories of driftless and control-affine systems (2005) (3)
- Singular trajectories and subanalyticity in optimal control and Hamilton-Jacobi theory (2005) (3)
- Second order optimality conditions in optimal control with applications (2006) (2)
- Predictor-based stabilization of finite-dimensional linear autonomous control systems with a constant input delay (2015) (2)
- Controlling Swarms toward Flocks and Mills (2021) (2)
- Optimal Population Control Through Sterile Males (2017) (2)
- Control of the 1D continuous version of the Cucker-Smale model* (2015) (2)
- Minimum Time-Energy Pull-up Maneuvers for Airborne Launch Vehicles (2016) (2)
- Optimal sensor location for wave and Schrödinger equations (2013) (2)
- Numerical study of optimal trajectories with singular arcs for space launcher problems (2008) (2)
- Shape deformation and optimal control (2014) (2)
- Two-sided space-time $L^1$ approximation and optimal control of polynomial systems (2017) (2)
- Hybrid robust stabilization in the Martinet case (2006) (2)
- ON TWO HYBRID ROBUST OPTIMAL STABILIZATION PROBLEMS (2007) (2)
- Proportional Integral Regulation Control of a One-Dimensional Semilinear Wave Equation (2022) (1)
- Fractional-order variational numerical methods for tomographic reconstruction of binary images (2018) (1)
- Sub-Riemannian structures on groups of diffeomorphisms Sylvain Arguillère (2015) (1)
- A Less Problem Dependent Approach for Optimal Trajectories with Singular Arcs: Application to Space Launchers (2009) (1)
- The transcendence needed to compute the sphere and wave front in Martinet sub-Riemannian geometry (2000) (1)
- Neumann trace tracking of a constant reference input for 1-D boundary controlled heat-like equations with delay (2020) (1)
- Generalization of the finite difference method in distributions spaces (2006) (1)
- A note on sharpness of the local Kato-smoothing property for dispersive wave equations (2016) (1)
- Control and stabilization of steady-states in a finite-length ferromagnetic nanowire (2015) (1)
- Quantum ergodicity for sub-Riemannian Laplacians (2015) (1)
- Weak Stackelberg strategy with closed-loop information structure (2010) (1)
- Optimality of singular trajectories and asymptotics of accessibility sets under generic assumptions (2002) (1)
- The transcendence required for computing the sphere and wave front in the Martinet sub-Riemannian geometry (1999) (1)
- Bifurcations of Reachable Sets Near an Abnormal Direction and Consequences (2002) (1)
- Unified Riccati Theory for Optimal Permanent and Sampled-Data Control Problems in Finite and Infinite Time Horizons (2020) (1)
- Exponential Convergence Towards Consensus for Non-Symmetric Linear First-Order Systems in Finite and Infinite Dimensions (2021) (1)
- Observability for generalized Schrödinger equations and quantum limits on product manifolds (2020) (1)
- Tumour growth and drug resistance: an evolutionary view with perspectives in therapeutics (2016) (1)
- Description of accessibility sets near an abnormal trajectory and consequences (2001) (0)
- Quantum ergodicity for sub-Riemannian Laplacians. I: the contact 3D case (2015) (0)
- PREFACE-Special issue in honor of Jean-Michel Coron for his 60th birthday (2016) (0)
- Optimal Observation of the One-dimensional Wave Equation (2013) (0)
- Two-Sided Space–Time $$L^1$$L1 Polynomial Approximation of Hypographs Within Polynomial Optimal Control (2020) (0)
- Sparse kinetic Jurdjevic-Quinn control for mean-field equations (2016) (0)
- Optimal control theory and some applications to aerospace problems (2013) (0)
- The optimal control and its multiple applications (2009) (0)
- Geometric analysis of minimum time Keplerian orbit transfers (2006) (0)
- 1 Semigroup theory , and Cauchy problems in Banach spaces (2015) (0)
- New Results - Trajectory optimization (2006) (0)
- Kernel Density Estimation applied to the chance-constrained Goddard problem (2016) (0)
- Classification of Local Optimal Syntheses for Time Minimal Control Problem with State Constraints (2003) (0)
- Phenotype heterogeneity in cancer cell populations (2015) (0)
- On the space highway to Lagrange points (2013) (0)
- Global asymptotic stability of coexistence steady-states in integro-differential Lotka-Volterra systems (2017) (0)
- Generic properties of singular trajectories (2003) (0)
- PGMO DAYS 2016 – PROGRAM GASPARD MONGE PROGRAM FOR OPTIMIZATION AND OPERATIONS RESEARCH (2016) (0)
- Variational Methods for Tomographic Reconstruction with Few Views (2018) (0)
- Integral and measure-turnpike properties for infinite-dimensional optimal control systems (2018) (0)
- Optimal Control and Applications to Aerospace: Some Results and Challenges (2012) (0)
- New Results - Cancer (2016) (0)
- Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions (2019) (0)
- Correction to ‘How to build a new athletic track to break records’ (2020) (0)
- A ug 2 00 8 On the stabilization problem for nonholonomic distributions (2008) (0)
- Optimisation d’un lanceur (2015) (0)
- SECOND ORDER OPTIMALITY CONDITIONS WITH APPLICATIONS PROCEEDINGS OF THE SIXTH AIMS INTERNATIONAL CONFERENCE (2007) (0)
- Stabilization of infinite-dimensional linear control systems by POD reduced-order Riccati feedback (2019) (0)
- On the asymptotic behavior of the value function in large time optimal control problems (2022) (0)
- Solving chance-constrained optimal control problems in aerospace engineering via Kernel Density Estimation (2016) (0)
- Special issue in the honor of Bernard Bonnard. Part I and II (2013) (0)
- Geometric and probabilistic results for the observability of the wave equation (2019) (0)
- A sufficient condition for observability of waves by measurable subsets (2017) (0)
- Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data (2014) (0)
- Minimal time spiking in various ChR2-controlled neuron models (2017) (0)
- Approximation of exact controls for semi-linear 1D wave equations using a least-squares approach (2020) (0)
- MathematicS In Action (2011) (0)
- Optimal location of sensors and actuators for wave and heat processes (2013) (0)
- Stability of nonlinear locally damped partial differential equations : the continuous and discretized problems (2012) (0)
- Conjugate Times for Smooth Singular Trajectories and Bang-Bang Extremals (2003) (0)
- New Results - Trajectory optimization - PMP approach (2008) (0)
- Sparse control to prevent Black Swan clustering in collective dynamics (2018) (0)
- Preface: A tribute to Professor Enrique Zuazua on his 60th birthday (2021) (0)
- Special issue on New trends in optimal control (2015) (0)
- 1 0 N ov 2 01 5 Finite-dimensional predictor-based feedback stabilization of a 1 D linear reaction-diffusion equation with boundary input delay (2018) (0)
- Bifurcation s o f Reachabl e Set s Nea r a n Abnorma l Directio n an d Consequence s (2002) (0)
- Optimization and Control for Partial Differential Equations (2022) (0)
- OPTIMAL DESIGN OF BOUNDARY OBSERVERS FOR THE WAVE EQUATION (2014) (0)
- General Cauchy-Lipschitz theory for shifted and non shifted ∆-Cauchy problems on time scales (2012) (0)
- Chance constrained optimization of a three-stage launcher (2015) (0)
- Robust stabilization in the Martinet case (2006) (0)
- Earth-Moon Lyapunov to Lyapunov Mission: Long Time Duration, Low-Thrust Transfer (2015) (0)

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