Nombre de documents

156


Article dans une revue89 documents

  • Vincent Renault, Michèle Thieullen, Emmanuel Trélat. Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via Optogenetics. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2017, 12 (3), pp.417--459. 〈hal-01320498〉
  • Loïc Bourdin, Emmanuel Trélat. Linear-quadratic optimal sampled-data control problems: convergence result and Riccati theory. Automatica, Elsevier, 2017, 79, pp.273--281. 〈hal-01304197〉
  • Marco Caponigro, Benedetto Piccoli, Francesco Rossi, Emmanuel Trélat. Sparse Jurdjevic–Quinn stabilization of dissipative systems. Automatica, Elsevier, 2017, 86, pp.110--120. 〈hal-01397843v3〉
  • Sylvain Arguillere, Emmanuel Trélat. Sub-Riemannian structures on groups of diffeomorphisms. Journal of the Institute of Mathematics of Jussieu, Cambridge University Press (CUP), 2017, 16 (4), pp.745--785. 〈hal-01069810v2〉
  • Maxime Chupin, Thomas Haberkorn, Emmanuel Trélat. Low-Thrust Lyapunov to Lyapunov and Halo to Halo with $L^2$-Minimization . ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2017, 51 (3), pp.965--996. 〈hal-01223738v2〉
  • Yannick Privat, Emmanuel Trélat, Enrique Zuazua. Actuator design for parabolic distributed parameter systems with the moment method. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2017, 55 (2), pp.1128--1152. 〈hal-01261810v3〉
  • Fatiha Alabau-Boussouira, Yannick Privat, Emmanuel Trélat. Nonlinear damped partial differential equations and their uniform discretizations. Journal of Functional Analysis, Elsevier, 2017, 273 (1), pp.352--403. 〈hal-01162639v2〉
  • Jérôme Le Rousseau, Gilles Lebeau, Peppino Terpolilli, Emmanuel Trélat. Geometric control condition for the wave equation with a time-dependent observation domain. Analysis & PDE, MSP, 2017, 10 (4), pp.983--1015. 〈hal-01342398v2〉
  • Marco Caponigro, Benedetto Piccoli, Francesco Rossi, Emmanuel Trélat. Mean-Field Sparse Jurdjevic–Quinn Control. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2017, 27 (7), pp.1223-1253 〈10.1142/S0218202517400140〉. 〈hal-01426410〉
  • Emmanuel Trélat, Enrique Zuazua, Jérôme Lohéac. Minimal controllability time for the heat equation under unilateral state or control constraints. Mathematical Models and Methods in Applied Sciences (M3AS), 2017, 27 (9), pp.1587--1644. 〈10.1142/S0218202517500270〉. 〈hal-01457931〉
  • Yannick Privat, Emmanuel Trélat, Enrique Zuazua. Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Journal of the European Mathematical Society, European Mathematical Society, 2016, 18 (5), pp.1043-1111. 〈10.4171/JEMS/608〉. 〈hal-00755281v3〉
  • Jiamin Zhu, Emmanuel Trélat, Max Cerf. Minimum time control of the rocket attitude reorientation associated with orbit dynamics. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2016, 54 (1), pp.391-422. 〈10.1137/15M1028716〉. 〈hal-01170274v2〉
  • Emmanuel Trélat, Lijuan Wang, Yubiao Zhang. Impulse and sampled-data optimal control of heat equations, and error estimates. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2016, 54 (5), pp.2787--2819. 〈hal-01202251〉
  • Martin Gugat, Emmanuel Trélat, Enrique Zuazua. Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Systems and Control Letters, Elsevier, 2016, 90, pp.61--70. 〈hal-01151672〉
  • Loïc Bourdin, Emmanuel Trélat. Optimal sampled-data control, and generalizations on time scales. Mathematical Control and Related Fields, AIMS, 2016, 6 (1), pp.53--94. 〈hal-01110750v2〉
  • Sylvain Arguillère, Emmanuel Trélat, Alain Trouvé, Laurent Younes. Multiple shape registration using constrained optimal control. SIAM Journal on Imaging Sciences, Society for Industrial and Applied Mathematics, 2016, 9 (1), pp.344--385. 〈hal-01139640〉
  • Jiamin Zhu, Emmanuel Trélat, Max Cerf. Planar tilting maneuver of a spacecraft: singular arcs in the minimum time problem and chattering. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2016, 16 (4), pp.1347--1388. 〈hal-01145876〉
  • Yannick Privat, Emmanuel Trélat, Enrique Zuazua. Randomised observation, control and stabilisation of waves. ZAMM, Wiley-VCH Verlag, 2016, 96 (5), pp.538--549. 〈hal-01160377v2〉
  • Yannick Privat, Emmanuel Trélat, Enrique Zuazua. Optimal shape and location of sensors for parabolic equations with random initial data. Archive for Rational Mechanics and Analysis, Springer Verlag, 2015, 216 (3), pp.921--981. 〈hal-00965668〉
  • Sylvain Arguillere, Emmanuel Trélat, Alain Trouvé, Laurent Younes. Shape deformation analysis from the optimal control viewpoint. Journal de Mathématiques Pures et Appliquées, 2015, 104, pp.139--178. 〈hal-00923570〉
  • Cédric M. Campos, Sina Ober-Blöbaum, Emmanuel Trélat. High order variational integrators in the optimal control of mechanical systems. Discrete and Continuous Dynamical Systems - Series A (DCDS-A), 2015, 35 (9), pp.4193 - 4223. 〈10.3934/dcds.2015.35.4193〉. 〈hal-01122910〉
  • Benedetto Piccoli, Francesco Rossi, Emmanuel Trélat. Control to flocking of the kinetic Cucker-Smale model. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2015, 47 (6), pp.4685--4719. 〈http://epubs.siam.org/doi/abs/10.1137/140996501〉. 〈10.1137/140996501〉. 〈hal-01084257〉
  • Emmanuel Trélat, Enrique Zuazua. The turnpike property in finite-dimensional nonlinear optimal control. Journal of Differential Equations, Elsevier, 2015, 258, pp.81--114. 〈hal-00946536〉
  • Yannick Privat, Emmanuel Trélat. Control and stabilization of steady-states in a finite-length ferromagnetic nanowire. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2015, 21 (2), pp.301-323. 〈10.1051/cocv/2014028〉. 〈hal-00873556v2〉
  • Yannick Privat, Emmanuel Trélat, Enrique Zuazua. Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2015, 35 (12), pp.6133--6153. 〈10.3934/dcds.2015.35.6133〉. 〈hal-00813647v2〉
  • Jean-Baptiste Caillau, Lars Grüne, Maria Do Rosário De Pinho, Emmanuel Trélat, Hasnaa Zidani. Special issue on New trends in optimal control. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2015, Special issue on New trends in optimal control, 35 (9), pp. i - iv 〈10.3934/dcds.2015.35.9i〉. 〈hal-01277412〉
  • Marco Caponigro, Massimo Fornasier, Benedetto Piccoli, Emmanuel Trélat. Sparse stabilization and control of the Cucker-Smale model. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2015, 25 (3), pp.521--564. 〈hal-00743792〉
  • Loïc Bourdin, Emmanuel Trélat. General Cauchy-Lipschitz theory for shifted and non shifted Delta-Cauchy problems on time scales. Journal of Difference Equations and Applications, 2014, 20 (4), pp.526--547. 〈hal-00767661〉
  • Sylvain Arguillere, Emmanuel Trélat, Alain Trouvé, Laurent Younes. SHAPE DEFORMATION AND OPTIMAL CONTROL. ESAIM: Proceedings, EDP Sciences, 2014, 45, pp.300 - 307. 〈10.1051/proc/201445031〉. 〈hal-01082328〉
  • Pierre Jounieaux, Yannick Privat, Emmanuel Trélat. Optimal design of boundary observers for the wave equation. ESAIM: Proceedings, EDP Sciences, 2014, 45, pp.475--484. 〈10.1051/proc/201445049〉. 〈hal-00872346v2〉
  • Loïc Bourdin, Emmanuel Trélat. Pontryagin Maximum Principle for finite dimensional nonlinear optimal control problems on time scales. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2013, 51 (5), pp.3781--3813. 〈hal-00788477〉
  • Marco Caponigro, Massimo Fornasier, Benedetto Piccoli, Emmanuel Trélat. Sparse stabilization and optimal control of the Cucker-Smale Model. Mathematical Control and Related Fields, AIMS, 2013, 3 (4), pp.447--466. 〈hal-00861910〉
  • Yannick Privat, Emmanuel Trélat, Enrique Zuazua. Optimal location of controllers for the one-dimensional wave equation. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2013, 30 (6), pp.1097--1126. 〈10.1016/j.anihpc.2012.11.005〉. 〈hal-00683556v2〉
  • Yannick Privat, Emmanuel Trélat, Enrique Zuazua. Optimal sensor location for wave and Schrödinger equations. Proceedings HYP2012, 2013. 〈hal-00758908v2〉
  • Yannick Privat, Emmanuel Trélat, Enrique Zuazua. Optimal observation of the one-dimensional wave equation. Journal of Fourier Analysis and Applications, Springer Verlag, 2013, 19 (3), pp.514-544. 〈10.1007/s00041-013-9267-4〉. 〈hal-00679577〉
  • Emmanuel Trélat. Optimal control and applications to aerospace: some results and challenges. Journal of Optimization Theory and Applications, Springer Verlag, 2012, 154 (3), pp.713--758. 〈hal-00669126v2〉
  • Stéphane Labbé, Yannick Privat, Emmanuel Trélat. Stability properties of steady-states for a network of ferromagnetic nanowires. Journal of Differential Equations, Elsevier, 2012, 253 (6), pp.1709-1728. 〈10.1016/j.jde.2012.06.005〉. 〈hal-00492758v2〉
  • Widad El-Nadjar, Magali Bonne, Emmanuel Trélat, Loic Rouleau, Andres Mino, et al.. Infrared investigation on surface properties of alumina obtained using recent templating routes. Microporous and Mesoporous Materials, Elsevier, 2012, 158, pp.88-98. 〈10.1016/j.micromeso.2012.03.006〉. 〈hal-00724781〉
  • Max Cerf, Thomas Haberkorn, Emmanuel Trélat. Continuation from a flat to a round Earth model in the coplanar orbit transfer problem. Optimal Control Applications and Methods, Wiley, 2012, 33 (6), pp.654--675. 〈hal-00542967v2〉
  • Thomas Haberkorn, Emmanuel Trélat. Convergence results for smooth regularizations of hybrid nonlinear optimal control problems. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2011, 49 (4), pp.1498--1522. 〈hal-00519458〉
  • Marc Jungers, Emmanuel Trélat, Hisham Abou-Kandil. Min-max and min-min Stackelberg strategies with closed-loop information structure. Journal of Dynamical and Control Systems, Springer Verlag, 2011, 17 (3), pp.387-425. 〈10.1007/s10883-011-9123-2〉. 〈hal-00086780v3〉
  • Grégory Archambeau, Philippe Augros, Emmanuel Trélat. Eight-shaped Lissajous orbits in the Earth-Moon system. MathematicS In Action, Société de Mathématiques Appliquées et Industrielles, 2011, 4 (1), pp.1--23. 〈hal-00312910v2〉
  • Emmanuel Trélat. Théorie du contrôle, points de Lagrange, et exploration spatiale. Images des Mathématiques, CNRS, 2010, http://images.math.cnrs.fr/Theorie-du-controle-points-de.html. 〈hal-00584899〉
  • Cristiana J. Silva, Emmanuel Trélat. Asymptotic approach on conjugate points for minimal time bang-bang controls. Systems and Control Letters, Elsevier, 2010, 59, pp.720--733. 〈hal-00477008v2〉
  • Cristiana J. Silva, Emmanuel Trélat. Smooth regularization of bang-bang optimal control problems. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2010, 55 (11), pp.2488--2499. 〈hal-00414680v3〉
  • Maïtine Bergounioux, Emmanuel Trélat. A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images. Journal of Functional Analysis, Elsevier, 2010, pp.2296--2332. 〈hal-00458340〉
  • Gilles Carbou, Stéphane Labbé, Emmanuel Trélat. Smooth control of nanowires by means of a magnetic field. Communications on Pure and Applied Mathematics, Wiley, 2009, 8 (3), pp.871--879. 〈10.3934/cpaa.2009.8.871〉. 〈hal-00313779〉
  • Emmanuel Trélat. A la conquête des points de Lagrange. Microscoop, CNRS, 2009, Hors Série (18), pp.24--25. 〈hal-00443693〉
  • Ludovic Rifford, Emmanuel Trélat. On the stabilization problem for nonholonomic distributions. Journal of the European Mathematical Society, European Mathematical Society, 2009, 11, pp.223--255. 〈hal-00105488v2〉
  • Cristiana J. Silva, Delfim Torres, Emmanuel Trélat. O controlo optimo e as suas multiplas aplicações. Bol. Soc. Port. Mat., 2009, 61, pp.11-37. 〈hal-00443692〉
  • Pierre Martinon, J. Frederic Bonnans, Julien Laurent-Varin, Emmanuel Trélat. Numerical study of optimal trajectories with singular arcs for an Ariane 5 launcher. Journal of Guidance, Control, and Dynamics, American Institute of Aeronautics and Astronautics, 2009, 32 (1), pp.51--55. 〈hal-00312012〉
  • J. Frederic Bonnans, Pierre Martinon, Emmanuel Trélat. Singular arcs in the generalized Goddard's Problem. Journal of Optimization Theory and Applications, Springer Verlag, 2008, 139 (2), pp.439--461. 〈hal-00312010〉
  • Yacine Chitour, Frédéric Jean, Emmanuel Trélat. Singular trajectories of control-affine systems. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2008, 47 (2), pp.1078--1095. 〈hal-00086397〉
  • Jean-Bernard Lasserre, Didier Henrion, Christophe Prieur, Emmanuel Trélat. Nonlinear optimal control via occupation measures and LMI-relaxations. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2008, 47 (4), pp.1643--1666. 〈hal-00136032v3〉
  • Gilles Carbou, Stéphane Labbé, Emmanuel Trélat. Control of travelling walls in a ferromagnetic nanowire. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2008, 1 (1), pp.51-59. 〈10.3934/dcdss.2008.1.51〉. 〈hal-00092133v2〉
  • Emmanuel Trélat. Théorie du contrôle: contrôle optimal et stabilisation. Microscoop, CNRS, 2008, 55, pp.14--15. 〈hal-00312014〉
  • Romain Abraham, Maïtine Bergounioux, Emmanuel Trélat. A penalization approach for tomographic reconstruction of binary axially symmetric objects. Applied Mathematics and Optimization, Springer Verlag (Germany), 2008, 58 (3), pp.345-371. 〈10.1007/s00245-008-9039-8〉. 〈hal-00139494v2〉
  • Rafael Vazquez, Emmanuel Trélat, Jean-Michel Coron. Control for Fast and Stable Laminar-to-High-Reynolds-Numbers Transfer in a 2D Navier-Stokes Channel Flow. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2008, 10 (4), pp.925--956. 〈hal-00131057v2〉
  • Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Second order optimality conditions with applications. Discrete and Continuous Dynamical Systems - Series A (2007), 2007, Dynamical Systems and Differential Equations, Proceedings of the 6th AIMS International Conference,, pp.145--154. 〈hal-00105493〉
  • Christophe Prieur, Emmanuel Trélat. On two hybrid robust optimal stabilization problems. Int. J. Tomogr. Stat., Indian Society for Development and Environment Research, 2007, to appear, 6 (S07), pp.86--91. 〈hal-00086469〉
  • Jean-Michel Coron, Emmanuel Trélat. Tout est sous contrôle. Matapli, SMAI, 2007, 83, pp.59--73. 〈hal-00312013〉
  • Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Second order optimality conditions in the smooth case and applications in optimal control. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2007, 13 (2), pp.207--236. 〈hal-00086380〉
  • Jean-Michel Coron, Emmanuel Trélat. Global steady-state stabilization and controllability of 1-D semilinear wave equations. Communications in Contemporary Mathematics, World Scientific Publishing, 2006, 8 (4), pp.535--567. 〈hal-00086370〉
  • Michael Schmidt, Emmanuel Trélat. Controllability of Couette flows. Communications on Pure and Applied Mathematics, Wiley, 2006, 5 (1), pp.201--211. 〈hal-00086351〉
  • Christophe Prieur, Emmanuel Trélat. Quasi-optimal robust stabilization of control systems. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2006, 45, pp.1875-1897. 〈hal-00086384〉
  • Stéphane Labbé, Emmanuel Trélat. Uniform controllability of semidiscrete approximations of parabolic control systems. Systems and Control Letters, Elsevier, 2006, 55 (7), pp.597--609. 〈hal-00086374〉
  • Emmanuel Trélat. Global subanalytic solutions of Hamilton-Jacobi type equations. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2006, 23 (3), pp.363--387. 〈hal-00086360〉
  • Christophe Prieur, Emmanuel Trélat. Robust stabilization in the Martinet case. Control and Cybernetics, Polish Academy of Sciences, 2006, 35 (4), pp.923--945. 〈hal-00086365〉
  • Marc Jungers, Emmanuel Trélat, Hisham Abou-Kandil. Commande mixte $H_2/H_\infty$ : une approche par la stratégie de Stackelberg. J. Europ. Syst. Autom., 2006, 40 (No. spécial "La synthèse multi-objectifs", no. 9-10), pp.1113--1139. 〈hal-00086393〉
  • Emmanuel Trélat. Singular trajectories and subanalyticity in optimal control and Hamilton-Jacobi theory. Rend. Sem. Mat. Univ. Politec. Torino, 2006, 64 (1), pp.97--109. 〈hal-00086356〉
  • Yacine Chitour, Frédéric Jean, Emmanuel Trélat. Genericity results for singular curves. Journal of Differential Geometry, 2006, 73 (1), pp.45--73. 〈hal-00086357〉
  • Christophe Prieur, Emmanuel Trélat. Robust optimal stabilization of the Brockett integrator via a hybrid feedback. Mathematics of Control, Signals, and Systems, Springer Verlag, 2005, 17 (3), pp.201--216. 〈hal-00086343〉
  • Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Geometric optimal control of elliptic Keplerian orbits. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2005, Series B, 5 (4), pp.929--956. 〈hal-00086345〉
  • Ludovic Rifford, Emmanuel Trélat. Morse-Sard type results in sub-Riemannian geometry. Mathematische Annalen, Springer Verlag, 2005, 332 (1), pp.145--159. 〈hal-00086340〉
  • Bernard Bonnard, Ludovic Faubourg, Emmanuel Trélat. Optimal control of the atmospheric arc of a space shuttle and numerical simulations with multiple-shooting method. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2005, 15 (1), pp.109--140. 〈hal-00086338〉
  • Jean-Michel Coron, Emmanuel Trélat. Tout est sous contrôle. Plein Sud, 2004, Spécial Recherche, pp.126--131. 〈hal-00086812〉
  • Jean-Michel Coron, Emmanuel Trélat. Global steady-state controllability of 1-D semilinear heat equations. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2004, 43 (2), pp.549--569. 〈hal-00086332〉
  • Emmanuel Trélat. Optimal control of a space shuttle and numerical simulations. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2003, suppl., pp.842--851. 〈hal-00086325〉
  • Bernard Bonnard, Ludovic Faubourg, Geneviève Launay, Emmanuel Trélat. Optimal control with state constraints and the space shuttle re-entry problem. Journal of Dynamical and Control Systems, Springer Verlag, 2003, 9 (2), pp.155--199. 〈hal-00086315〉
  • Emmanuel Trélat. Solutions sous-analytiques globales de certaines équations d'Hamilton-Jacobi. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2003, 337 (10), pp.653--656. 〈hal-00086602〉
  • Yacine Chitour, Frédéric Jean, Emmanuel Trélat. Generic properties of singular trajectories. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2003, 337 (1), pp.49--52. 〈hal-00086321〉
  • Emmanuel Trélat. Introduction au contrôle optimal. Revue de Math. Spé, Math. Concrètes, 2002, 3, pp.248--288. 〈hal-00086620〉
  • Bernard Bonnard, Emmanuel Trélat. Une approche géométrique du contrôle optimal de l'arc atmosphérique de la navette spatiale. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2002, 7, pp.179--222. 〈hal-00086313〉
  • Bernard Bonnard, Emmanuel Trélat. On the role of abnormal minimizers in sub-Riemannian geometry. Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série 6, Université Paul Sabatier _ Cellule Mathdoc 2001, 6 (10) 3, pp.405--491. 〈hal-00086308〉
  • Bernard Bonnard, Geneviève Launay, Emmanuel Trélat. The transcendence needed to compute the sphere and wave front in Martinet sub-Riemannian geometry. Journal of Mathematical Sciences, Springer Verlag (Germany), 2001, 103 (6), pp.686-708. 〈hal-00086288〉
  • Emmanuel Trélat. Non subanalyticity of sub-Riemannian Martinet spheres. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2001, 332, pp.527--532. 〈hal-00086298〉
  • Emmanuel Trélat. Asymptotics of accessibility sets along an abnormal trajectory. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2001, 6, pp.387--414. 〈hal-00086290〉
  • Emmanuel Trélat. Some properties of the value function and its level sets for affine control systems with quadratic cost. Journal of Dynamical and Control Systems, Springer Verlag, 2000, 6 (4), pp.511--541. 〈hal-00086284〉
  • Bernard Bonnard, Monique Chyba, Emmanuel Trélat. Sub-Riemannian geometry: one-parameter deformation of the Martinet flat case. Journal of Dynamical and Control Systems, Springer Verlag, 1998, 4 (1), pp.59--76. 〈hal-00086508〉

Communication dans un congrès22 documents

  • Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat. Quantum ergodicity and quantum limits for sub-Riemannian Laplacians. Séminaire Laurent Schwartz — EDP et applications, 2015, Palaiseau, France. 2015. 〈hal-01147363v2〉
  • Loïc Bourdin, Emmanuel Trélat. Pontryagin maximum principle for optimal sampled-data control problems. The 16th IFAC Workshop on Control Applications of Optimization (CAO'2015), Oct 2015, Garmisch-Partenkirchen, Germany. 48 (25), 2015, IFAC-PapersOnLine. 〈10.1016/j.ifacol.2015.11.063〉. 〈hal-01238220〉
  • Yannick Privat, Emmanuel Trélat. Optimal design of sensors for a damped wave equation. 10th AIMS Conference, Nov 2015, madrid, France. Discrete Contin. Dyn. Syst. pp.936--944, Dynamical systems, differential equations and applications, Suppl. 〈10.3934/proc.2015.0936〉. 〈hal-01160306〉
  • Luis Almeida, Rebecca H. Chisholm, Jean Clairambault, Alexandre Escargueil, Tommaso Lorenzi, et al.. Phenotype heterogeneity in cancer cell populations. ICNAAM 2015 Session 70: "Mathematical models and methods to investigate heterogeneity in cell and cell population biology'', Sep 2015, Rhodes, Greece. AIP Proceedings of ICNAAM 2015, 〈http://history.icnaam.org/icnaam_2015/index.html〉. 〈hal-01249242〉
  • Yannick Privat, Emmanuel Trélat, Enrique Zuazua. Optimal location of sensors and actuators for wave and heat processes. Séminaires & Congrès, Collection SMF. Pde’s, Dispersion, Scattering theory and Control theory, Jun 2013, Monastir, Tunisia. pp.123--139, 2017. 〈hal-01582648〉
  • Yannick Privat, Emmanuel Trélat, Enrique Zuazua. On the best observation of wave and Schrödinger equations in quantum ergodic billiards. Journées EDP, 2012, Biarritz, France. 13 p., 2012, Journées Equations aux Dérivées Partielles. 〈10.5802/jedp.93〉. 〈hal-00718677〉
  • Marc Jungers, Emmanuel Trélat, Hisham Abou-Kandil. A Stackelberg Game Approach to Mixed H2/Hinf Control. 17th IFAC World Congress, Jul 2008, Seoul, South Korea. pp.3940-3945, 2008, 〈10.3182/20080706-5-KR-1001.1513〉. 〈hal-00307393〉
  • Rafael Vazquez, Emmanuel Trélat, Jean-Michel Coron. Stable Poiseuille flow transfer for a Navier-Stokes system. 2006, ACC, 6 p., 2006. 〈hal-00086477〉
  • Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Geometric analysis of minimum time Keplerian orbit transfers. Proceedings of the 22nd IFIP TC 7 Conference on System Modeling and Optimization, Torino, Italy., 2006, Torino, Italy. Springer, 6 p., 2006. 〈hal-00086456〉
  • Jean-Michel Coron, Emmanuel Trélat, Rafael Vazquez. Fast Tracking of Poiseuille Trajectories in Navier-Stokes 2D Channel Flow. International Scientific and Technical Encyclopedia, ISTE. CTS-HYCON Workshop, 2006, Paris, France. International Scientific and Technical Encyclopedia, ISTE, pp.699--720, 2007. 〈hal-00086480〉
  • Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Computation of conjugate times in smooth optimal control: the COTCOT algorithm. 2005, IEEE, 6 p., 2005. 〈hal-00086460〉
  • Jean-Michel Coron, Emmanuel Trélat. Feedback stabilization along a path of steady-states for 1-D semilinear heat and wave equations. 2005, IEEE, 6 p., 2005. 〈hal-00086458〉
  • Christophe Prieur, Emmanuel Trélat. Semi-global minimal time hybrid robust stabilization of analytic driftless control-affine systems. 2005, IEEE, 6 p., 2005. 〈hal-00086462〉
  • Yacine Chitour, Frédéric Jean, Emmanuel Trélat. Singular trajectories of driftless and control-affine systems. 2005, IEEE, 6 p., 2005. 〈hal-00086464〉
  • Christophe Prieur, Emmanuel Trélat. Robust optimal stabilization of the Brockett integrator via a hybrid feedback. Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS 2004), 2004, Leuven, Belgium. 6 p., 2004. 〈hal-00086453〉
  • Emmanuel Trélat. Contrôle optimal appliqué au problème de rentrée atmosphérique. 2004, e-STA 1 (4), 6 p., 2004. 〈hal-00086454〉
  • Bernard Bonnard, Ludovic Faubourg, Emmanuel Trélat. Classification of local optimal syntheses for time minimal control problems with state constraints. IFAC. 2003, IFAC Laxenburg, pp.117--122, 2003. 〈hal-00086439〉
  • Bernard Bonnard, Ludovic Faubourg, Emmanuel Trélat. Conjugate times for smooth singular trajectories and bang-bang extremals. IFAC. 2003, IFAC, Laxenburg, pp.177--182, 2003. 〈hal-00086443〉
  • Emmanuel Trélat. Optimality of singular trajectories and asymptotics of accessibility sets under generic assumptions. World Sci. Publishing. Contemporary trends in nonlinear geometric control theory and its applications (Mexico City, 2000), 2002, Mexico, Mexico. World Sci. Publishing, pp.441--458, 2002. 〈hal-00086429〉
  • Emmanuel Trélat. Description of accessibility sets near an abnormal trajectory and consequences. Lecture Notes in Control and Information Sciences 273. 2002, Springer, pp.89--99, 2002. 〈hal-00086433〉
  • Bernard Bonnard, Emmanuel Trélat. Stratification du secteur anormal dans la sphère de Martinet de petit rayon. Lecture Notes in Control and Information Sciences 258. 2001, Springer, pp.239--251, 2001. 〈hal-00086423〉
  • Bernard Bonnard, Geneviève Launay, Emmanuel Trélat. The transcendence required for computing the sphere and wave front in the Martinet sub-Riemannian geometry. (VINITI), Moscow, 1999. 1999, Moscow, pp.82--117, 1999, Itogi Nauki Tekh. Ser. Sovrem. Mat. Prilozh. Temat. Obz. 〈hal-00086419〉

Poster1 document

  • Jean Clairambault, Luís Almeida, Rebecca Chisholm, Tommaso Lorenzi, Alexander Lorz, et al.. Tumour growth and drug resistance: an evolutionary view with perspectives in therapeutics. ECMTB 2016 - European Conference on Mathematical and Theoretical Biology, Jul 2016, Nottingham, United Kingdom. 2016. 〈hal-01378290〉

Ouvrage (y compris édition critique et traduction)2 documents

  • Bernard Bonnard, Ludovic Faubourg, Emmanuel Trélat. Mécanique céleste et contrôle de systèmes spatiaux. Springer-Verlag, 276 p., 2006, Mathématiques & Applications 51. 〈hal-00086408〉
  • Emmanuel Trélat. Contrôle optimal : théorie & applications. Vuibert, 246 p., 2005, Collection "Mathématiques Concrètes". 〈hal-00086625〉

Chapitre d'ouvrage2 documents

  • Emmanuel Trélat. Stabilization of semilinear PDE's, and uniform decay under discretization. TBA, 2015. 〈hal-01165329〉
  • Yacine Chitour, Emmanuel Trélat. Controllability of partial differential equations. Lecture Notes in Control and Information Sciences 328. Advanced Topics in Control Systems Theory, Springer, pp.171--198, 2006. 〈hal-00086402〉

Autre publication5 documents

  • Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Kernel Density Estimation applied to the chance-constrained Goddard problem. PGMO Days 2016 (Palaiseau). 2016. 〈hal-01408897〉
  • Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Chance constrained optimization of a three-stage launcher. Journées SMAI-MODE 2016 (Toulouse). 2016. 〈hal-01408885〉
  • Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Chance constrained optimization of a three-stage launcher . Journées du GdR MOA 2015 (Dijon). 2015. 〈hal-01408875〉
  • Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Optimisation d’un lanceur. SMAI 2015 (Les Karellis). 2015. 〈hal-01408836〉
  • Emmanuel Trélat. Contrôle optimal et stabilisation d'une navette spatiale. Article de vulgarisation, 39 pages. Suite de "Introduction au contrôle optimal" (Revue de Maths .. 2003. 〈hal-00086813〉

Pré-publication, Document de travail28 documents

  • Antoine Olivier, Thomas Haberkorn, Emmanuel Trélat, Eric Bourgeois, David-Alexis Handschuh. Redundancy implies robustness for bang-bang strategies. 2017. 〈hal-01557937〉
  • Cristina Pignotti, Emmanuel Trélat. Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays. 2017. 〈hal-01562559v2〉
  • Christophe Prieur, Emmanuel Trélat. Feedback stabilization of a 1D linear reaction-diffusion equation with delay boundary control. 2017. 〈hal-01583199〉
  • Emmanuel Trélat, Can Zhang. Integral and measure-turnpike properties for infinite-dimensional optimal control systems. 2017. 〈hal-01519490〉
  • Camille Pouchol, Emmanuel Trélat. Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations. 2017. 〈hal-01470722v4〉
  • Emmanuel Trélat, Jiamin Zhu, Enrique Zuazua. Optimal Population Control Through Sterile Males. 2017. 〈hal-01624448〉
  • Maxime Chupin, Thomas Haberkorn, Emmanuel Trélat. From Impulse Transfer to Low-Thrust Transfer between Invariant Manifolds. 2017. 〈hal-01494042〉
  • Riccardo Bonalli, Bruno Hérissé, Emmanuel Trélat. Analytical Initialization of a Continuation-Based Indirect Method for Optimal Control of Endo-Atmospheric Launch Vehicle Systems. 2017. 〈hal-01490440〉
  • Delphine Bresch-Pietri, Christophe Prieur, Emmanuel Trélat. New formulation of predictors for finite-dimensional linear control systems with input delay. Rapport interne de GIPSA-lab. 2017. 〈hal-01227332v2〉
  • Riccardo Bonalli, Bruno Hérissé, Emmanuel Trélat. Solving nonlinear optimal control problems with state and control delays by shooting methods combined with numerical continuation on the delays. 2017. 〈hal-01587081〉
  • Riccardo Bonalli, Bruno Hérissé, Emmanuel Trélat. Solving Optimal Control Problems for Delayed Control-Affine Systems with Quadratic Cost by Numerical Continuation. 2017. 〈hal-01490437〉
  • Emmanuel Trélat, Can Zhang, Enrique Zuazua. Optimal shape design for 2D heat equations in large time. 2017. 〈hal-01442997〉
  • Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Solving chance constrained optimal control problems in aerospace via Kernel Density Estimation. 2017. 〈hal-01507063〉
  • Guy Barles, Ariela Briani, Emmanuel Trélat. Value function for regional control problems via dynamic programming and Pontryagin maximum principle. 2016. 〈hal-01313559v2〉
  • Emmanuel Trélat, Can Zhang, Enrique Zuazua. Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. 2016. 〈hal-01377320〉
  • Jiamin Zhu, Emmanuel Trélat, Max Cerf. Minimum Time-Energy Pull-up Maneuvers for Airborne Launch Vehicles. 2016. 〈hal-01205146v2〉
  • Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat. Spectral asymptotics for sub-Riemannian Laplacians. I: quantum ergodicity and quantum limits in the 3D contact case.. IF_PREPUB. to appear in Duke Math. J. 2016. 〈hal-01144257v4〉
  • Marco Caponigro, Roberta Ghezzi, Benedetto Piccoli, Emmanuel Trélat. Regularization of chattering phenomena via bounded variation controls. 2016. 〈hal-01359037〉
  • Camille Pouchol, Jean Clairambault, Alexander Lorz, Emmanuel Trélat. Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy. 2016. 〈hal-01416594〉
  • Vincent Renault, Michèle Thieullen, Emmanuel Trélat. Minimal time spiking in various ChR2-controlled neuron models. 2016. 〈hal-01320492〉
  • Emmanuel Humbert, Yannick Privat, Emmanuel Trélat. Observability properties of the homogeneous wave equation on a closed manifold. 2016. 〈hal-01338016v2〉
  • Delphine Bresch-Pietri, Christophe Prieur, Emmanuel Trélat. Finite-dimensional predictor-based feedback stabilization of a 1D linear reaction-diffusion equation with boundary input delay. 2015. 〈hal-01226598〉
  • Ying Tan, Emmanuel Trélat, Yacine Chitour, Dragan Nesic. Dynamic practical stabilization of sampled-data linear distributed parameter systems. 2009. 〈hal-00418530〉
  • Ying Tan, Emmanuel Trélat, Yacine Chitour, Dragan Nesic. Dynamic practical stabilization of sampled-data linear distributed parameter systems. 2009. 〈hal-00366232〉
  • Marc Jungers, Emmanuel Trélat, Hisham Abou-Kandil. A Stackelberg Game Approach to Mixed $H_2/H_\infty$ Control. Proceedings of 17th IFAC World Congress, Seoul, Korea (2008), 15 pages. 2006. 〈hal-00086395〉
  • Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Second order optimality conditions in optimal control with applications. 2006. 〈hal-00090374〉
  • Stéphane Labbé, Emmanuel Trélat. Generalization of the finite difference method in distributions spaces. 2006. 〈hal-00097806〉
  • B. Bonnard, J.-B. Caillau, Emmanuel Trélat. Cotcot: short reference manual. Technical report. 2005. 〈hal-00086640〉

Rapport2 documents

  • Pierre Martinon, Frédéric Bonnans, Julien Laurent-Varin, Emmanuel Trélat. Numerical study of optimal trajectories with singular arcs for space launcher problems. [Research Report] RR-6460, INRIA. 2008, pp.26. 〈inria-00260180v2〉
  • J. Frederic Bonnans, Pierre Martinon, Emmanuel Trélat. Singular arcs in the generalized Goddard's Problem. [Research Report] RR-6157, INRIA. 2007, pp.25. 〈inria-00139273v2〉

Thèse1 document

  • Emmanuel Trélat. Etude asymptotique et transcendance de la fonction
    valeur en contrôle optimal. Catégorie log-exp en géométrie sous-Riemannienne dans le cas Martinet.. Mathématiques [math]. Université de Bourgogne, 2000. Français. 〈tel-00086511〉

HDR1 document

  • Emmanuel Trélat. Contrôle en dimension finie et infinie. Mathématiques [math]. Université Paris Sud - Paris XI, 2005. 〈tel-00086509〉

Vidéo3 documents

  • Emmanuel Trélat, Fanny Bastien. Emmanuel Trélat - Tout est sous contrôle : Séminaires du Magistère de Mathématiques 2016. 2016. 〈medihal-01385098〉
  • Emmanuel Trélat, Fanny Bastien. Emmanuel Trélat - Analyse spectrale des Laplaciens sous-Riemanniens, mesure de Weyl : Journée Sous-Riemannienne 2016. 2016. 〈medihal-01383669〉
  • Emmanuel Trélat, Fanny Bastien. Emmanuel Trélat - Théorie du contrôle optimal et applications aux missions spatiales : Colloquium MathAlp 2016. 2016. 〈medihal-01346522〉