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Emmanuel Trélat

  1. The turnpike property in finite-dimensional nonlinear optimal control
    2014/09/23 by Emmanuel Trélat, Enrique Zuazua · 10 citations
    Physics and Astronomy · Engineering · #Advanced Thermodynamics and Statistical Mechanics #Control and Stability of Dynamical Systems #Stability and Controllability of Differential Equations
  2. Control to flocking of the kinetic Cucker-Smale model
    2014/11/17 by Benedetto Piccoli, Francesco Rossi, Piccoli, Benedetto +3 · 5 citations
    Computer Science · Mathematics · Physics and Astronomy · #35q83 #49j20 #74a25 #92d50 #Distributed Control Multi-Agent Systems #FOS: Mathematics #Mathematical Biology Tumor Growth #Opinion Dynamics and Social Influence #Optimization and Control (math.OC)
  3. Integral and measure-turnpike properties for infinite-dimensional optimal control systems
    2017/05/08 by Emmanuel Trélat, Can Zhang, Trelat, Emmanuel +1 · 3 citations
    Engineering · #Control and Stability of Dynamical Systems #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations
  4. Shape deformation analysis from the optimal control viewpoint
    2014/01/03 by Sylvain Arguillère, Arguillere, Sylvain, Emmanuel Trélat +5 · 2 citations
    Computer Science · Mathematics · #FOS: Mathematics #Mathematical Biology Tumor Growth #Medical Image Segmentation Techniques #Morphological variations and asymmetry #Optimization and Control (math.OC)
  5. An algorithmic guide for finite-dimensional optimal control problems
    2022/12/06 by Jean‐Baptiste Caillau, Roberto Ferretti, Caillau, Jean-Baptiste +5 · 3 citations
    Engineering · Mathematics · #FOS: Mathematics #Numerical methods for differential equations #Optimization and Control (math.OC) #Spacecraft Dynamics and Control
  6. Control in finite and infinite dimension
    2023/12/26 by Emmanuel Trélat, Trélat, Emmanuel · 4 citations
    Mathematics · #FOS: Mathematics #Numerical methods for differential equations #Optimization and Control (math.OC)
  7. Singular trajectories of control-affine systems
    2006/07/19 by Yacine Chitour, Chitour, Yacine, Frédéric Jean +3 · 1 citation
    Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #Control and Dynamics of Mobile Robots #FOS: Mathematics #Optimization and Control (math.OC)
  8. Mean field, hydrodynamic and graph limits for deterministic interacting particle systems: a survey with quantitative estimates
    2022/09/19 by Thierry Paul, Emmanuel Trélat, Paul, Thierry +1 · 2 citations
    Physics and Astronomy · Mathematics · #Advanced Thermodynamics and Statistical Mechanics #Theoretical and Computational Physics #Stochastic processes and statistical mechanics
  9. Linear turnpike theorem
    2020/10/26 by Emmanuel Trélat, Trélat, Emmanuel · 2 citations
    Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #FOS: Mathematics #Mathematical Approximation and Integration #Optimization and Control (math.OC) #Quantum chaos and dynamical systems #Stochastic processes and financial applications
  10. Spectral asymptotics for sub-Riemannian Laplacians
    2022/12/06 by Yves Colin de Verdìère, Luc Hillairet, de Verdìère, Yves Colin +3 · 2 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Nonlinear Partial Differential Equations #Spectral Theory (math.SP)
  11. Sparse Stabilization and Control of Alignment Models
    2012/10/21 by Marco Caponigro, Caponigro, Marco, Massimo Fornasier +5 · 1 citation
    Environmental Science · Mathematics · Medicine · #34D45 #35B36 #49J15 #65K10 #93B05 #93D15 #Ecosystem dynamics and resilience #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Optimization and Control (math.OC)
  12. Impulse and sampled-data optimal control of heat equations, and error estimates
    2015/09/19 by Emmanuel Trélat, Lijuan Wang, Trélat, Emmanuel +3 · 1 citation
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations
  13. Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property
    2015/05/19 by Martin Gugat, Emmanuel Trélat, Gugat, Martin +3 · 1 citation
    Engineering · Computer Science · Mathematics · #Stability and Controllability of Differential Equations #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems
  14. Global exponential turnpike properties for optimal control of the viscous Burgers equation
    2026/07/30 by Emmanuel Trélat, Xingwu Zeng, Can Zhang
    Mathematics · #math.OC
  15. A Periodic Optimal Control Problem for a Bilinear Harmonic Oscillator, with Applications in Quantum and Classical Physics
    2026/07/27 by A. J. Lazarus, Arnaud Lazarus, Emmanuel Trélat
    Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations