## Trélat, Emmanuel

Compute Distance To:
 Author ID: trelat.emmanuel Published as: Trélat, Emmanuel; Trélat, E.; Trelat, E.; Trelat, Emmanuel; Treĺat, Emmanuel Homepage: https://www.ljll.math.upmc.fr/trelat/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · IdRef · theses.fr Awards: Felix Klein Prize (2012)
 Documents Indexed: 133 Publications since 1998, including 2 Books 9 Contributions as Editor Co-Authors: 109 Co-Authors with 126 Joint Publications 2,863 Co-Co-Authors
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### Co-Authors

 14 single-authored 20 Zuazua, Enrique 15 Privat, Yannick 12 Bonnard, Bernard 8 Bourdin, Loïc 8 Piccoli, Benedetto 8 Prieur, Christophe 7 Caillau, Jean-Baptiste 5 Caponigro, Marco 5 Cerf, Max 4 Arguillère, Sylvain 4 Chitour, Yacine 4 Coron, Jean-Michel 4 Haberkorn, Thomas 4 Labbé, Stéphane 4 Pouchol, Camille 4 Zhu, Jiamin 3 Bergounioux, Maïtine 3 Chyba, Monique 3 Colin de Verdière, Yves 3 Faubourg, Ludovic 3 Hillairet, Luc 3 Jean, Frédéric 3 Lohéac, Jérôme 3 Rossi, Francesco 3 Silva, Cristiana J. 3 Trouvé, Alain 3 Younes, Laurent 2 Abraham, Romain 2 Bonalli, Riccardo 2 Carbou, Gilles 2 Clairambault, Jean 2 Fornasier, Massimo 2 Heinkenschloss, Matthias 2 Hérissé, Bruno 2 Herzog, Roland 2 Humbert, Emmanuel 2 Kalise, Dante 2 Lance, Gontran 2 Launay, Geneviève 2 Lhachemi, Hugo 2 Lorz, Alexander 2 Renault, Vincent 2 Rifford, Ludovic 2 Sugny, Dominique 2 Thieullen, Michèle 2 Zidani, Hasnaa 1 Abou-Kandil, Hisham 1 Abraham, Isabelle 1 Aftalion, Amandine 1 Alabau-Boussouira, Fatiha 1 Allred, Sarah R. 1 Archambeau, Grégory 1 Augros, Philippe 1 Barles, Guy 1 Beauchard, Karine 1 Bonnans, Joseph Frédéric 1 Boudin, Laurent 1 Bourgeois, Éric 1 Bresch-Pietri, Delphine 1 Briani, Ariela 1 Campos, Cédric Martínez 1 Carlier, Guillaume 1 Casas, Eduardo 1 Chisholm, Rebecca H. 1 Chupin, Maxime 1 de Teresa, Luz 1 Després, Bruno 1 Duteil, Nastassia Pouradier 1 Ghezzi, Roberta 1 Glowinski, Roland 1 Grüne, Lars 1 Gugat, Martin 1 Handschuh, David-Alexis 1 Henrion, Didier 1 Jounieaux, Pierre 1 Jungers, Marc 1 Lasserre, Jean-Bernard 1 Le Pennec, Erwan 1 Le Rousseau, Jérôme H. 1 Lebeau, Gilles 1 Leugering, Günter 1 Lonay, G. 1 Lorenzi, Tommaso 1 Martinon, Pierre 1 McQuade, Sean T. 1 Merrill, Nathaniel J. 1 Münch, Arnaud 1 Ober-Blöbaum, Sina 1 Olivier, Antoine 1 Pignotti, Cristina 1 Pinho, Maria Norberta 1 Poisson, Denis 1 Salvarani, Francesco 1 Sassi, Achille 1 Stadler, Georg 1 Standler, Georg 1 Stanzhytskyi, Oleksandr M. 1 Sun, Shuming 1 Terpolilli, Peppino 1 Torres, Delfim Fernando Marado ...and 9 more Co-Authors
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### Serials

 15 SIAM Journal on Control and Optimization 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Discrete and Continuous Dynamical Systems 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 IEEE Transactions on Automatic Control 5 Systems & Control Letters 5 Mathematical Control and Related Fields 4 Journal of Dynamical and Control Systems 3 Automatica 3 Optimal Control Applications & Methods 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 MCSS. Mathematics of Control, Signals, and Systems 3 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Mathematical Biology 2 Applied Mathematics and Optimization 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Journal of Optimization Theory and Applications 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Journal of Difference Equations and Applications 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Archive for Rational Mechanics and Analysis 1 Nonlinearity 1 Control and Cybernetics 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Boletim da Sociedade Portuguesa de Matemática 1 Communications in Partial Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Communications in Contemporary Mathematics 1 Milan Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Mathématiques & Applications (Berlin) 1 Journal of Biological Dynamics 1 Networks and Heterogeneous Media 1 SIAM Journal on Imaging Sciences 1 Radon Series on Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Matapli 1 MathematicS In Action 1 Pacific Journal of Mathematics for Industry 1 Journal de l’École Polytechnique – Mathématiques 1 Séminaire Laurent Schwartz. EDP et Applications 1 Pure and Applied Functional Analysis 1 Pure and Applied Analysis 1 Annales Henri Lebesgue
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### Fields

 82 Calculus of variations and optimal control; optimization (49-XX) 78 Systems theory; control (93-XX) 49 Partial differential equations (35-XX) 18 Differential geometry (53-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Mechanics of particles and systems (70-XX) 13 Ordinary differential equations (34-XX) 10 Numerical analysis (65-XX) 9 Biology and other natural sciences (92-XX) 8 General and overarching topics; collections (00-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Operations research, mathematical programming (90-XX) 4 Difference and functional equations (39-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

112 Publications have been cited 1,326 times in 805 Documents Cited by Year
Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193
Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel
2008
The turnpike property in finite-dimensional nonlinear optimal control. Zbl 1301.49010
Trélat, Emmanuel; Zuazua, Enrique
2015
Sparse stabilization and control of alignment models. Zbl 1331.49003
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel
2015
Global steady-state controllability of one-dimensional semilinear heat equations. Zbl 1101.93011
Coron, Jean-Michel; Trélat, Emmanuel
2004
Sparse stabilization and optimal control of the Cucker-Smale model. Zbl 1275.49003
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel
2013
Optimal control and applications to aerospace: some results and challenges. Zbl 1257.49019
Trélat, E.
2012
Uniform controllability of semidiscrete approximations of parabolic control systems. Zbl 1129.93324
Labbé, Stéphane; Trélat, Emmanuel
2006
Second order optimality conditions in the smooth case and applications in optimal control. Zbl 1123.49014
Bonnard, Bernard; Caillau, Jean-Baptiste; Trélat, Emmanuel
2007
Optimal control. Theory and applications. (Contrôle optimal. Théorie et applications.) Zbl 1112.49001
Trélat, Emmanuel
2005
Genericity results for singular curves. Zbl 1102.53019
Chitour, Y.; Jean, F.; Trélat, E.
2006
Control to flocking of the kinetic Cucker-Smale model. Zbl 1327.93230
Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel
2015
Morse-Sard type results in sub-Riemannian geometry. Zbl 1069.53033
Rifford, L.; Trélat, E.
2005
Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2015
Singular trajectories of control-affine systems. Zbl 1157.49041
Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel
2008
Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2013
Some properties of the value function and its level sets for affine control systems with quadratic cost. Zbl 0964.49021
Trélat, E.
2000
Optimal observation of the one-dimensional wave equation. Zbl 1302.93052
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2013
Feedback stabilization of a 1-D linear reaction-diffusion equation with delay boundary control. Zbl 1482.93476
Prieur, Christophe; Trélat, Emmanuel
2019
Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254
Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel
2017
Pontryagin maximum principle for finite dimensional nonlinear optimal control problems on time scales. Zbl 1282.49016
Bourdin, Loïc; Trélat, Emmanuel
2013
Global steady-state stabilization and controllability of 1D semilinear wave equations. Zbl 1101.93039
Coron, Jean-Michel; Trélat, Emmanuel
2006
Optimal control with state constraints and the space shuttle re-entry problem. Zbl 1034.49014
Bonnard, B.; Faubourg, L.; Launay, G.; Trélat, E.
2003
Control of travelling walls in a ferromagnetic nanowire. Zbl 1310.82059
Carbou, Gilles; Labbé, Stéphane; Trélat, Emmanuel
2008
Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012
Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique
2016
Smooth regularization of bang-bang optimal control problems. Zbl 1368.49029
Silva, Cristiana; Trélat, Emmanuel
2010
Optimal sampled-data control, and generalizations on time scales. Zbl 1335.49031
Bourdin, Loïc; Trélat, Emmanuel
2016
Shape deformation analysis from the optimal control viewpoint. Zbl 1319.49064
Arguillère, Sylvain; Trélat, Emmanuel; Trouvé, Alain; Younes, Laurent
2015
Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. Zbl 1387.49042
Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique
2018
Min-max and min-min Stackelberg strategies with closed-loop information structure. Zbl 1228.91019
Jungers, M.; Trelat, E.; Abou-Kandil, H.
2011
Minimal controllability time for the heat equation under unilateral state or control constraints. Zbl 1370.35156
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique
2017
Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays. Zbl 1427.34103
Pignotti, Cristina; Trélat, Emmanuel
2018
Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy. Zbl 1393.35263
Pouchol, Camille; Clairambault, Jean; Lorz, Alexander; Trélat, Emmanuel
2018
Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2016
Mean-field sparse Jurdjevic-Quinn control. Zbl 1365.93037
Caponigro, Marco; Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel
2017
Global subanalytic solutions of Hamilton–Jacobi type equations. Zbl 1094.35020
Trélat, Emmanuel
2006
Celestial mechanics and control of space vehicles. (Mécanique céleste et contrôle des véhicules spatiaux.) Zbl 1104.70001
Bonnard, Bernard; Faubourg, Ludovic; Trélat, Emmanuel
2006
Control for fast and stable laminar-to-high-Reynolds-numbers transfer in a 2D Navier-Stokes channel flow. Zbl 1147.93011
Vázquez, Rafael; Trélat, Emmanuel; Coron, Jean-Michel
2008
On the role of abnormal minimizers in sub-Riemannian geometry. Zbl 1017.53034
Bonnard, B.; Trélat, E.
2001
Impulse and sampled-data optimal control of heat equations, and error estimates. Zbl 1370.35158
Trélat, Emmanuel; Wang, Lijuan; Zhang, Yubiao
2016
Spectral asymptotics for sub-Riemannian Laplacians. I: Quantum ergodicity and quantum limits in the 3-dimensional contact case. Zbl 1388.35137
De Verdière, Yves Colin; Hillairet, Luc; Trélat, Emmanuel
2018
Convergence results for smooth regularizations of hybrid nonlinear optimal control problems. Zbl 1232.49004
Haberkorn, T.; Trélat, E.
2011
Nonlinear damped partial differential equations and their uniform discretizations. Zbl 1364.37155
Alabau-Boussouira, Fatiha; Privat, Yannick; Trélat, Emmanuel
2017
Geometric optimal control of elliptic Keplerian orbits. Zbl 1082.70014
Bonnard, B.; Caillau, J.-B.; Trélat, E.
2005
Integral and measure-turnpike properties for infinite-dimensional optimal control systems. Zbl 1394.49018
Trélat, Emmanuel; Zhang, Can
2018
Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Zbl 1332.93069
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2015
Quasi-optimal robust stabilization of control systems. Zbl 1127.93035
Prieur, Christophe; Trélat, Emmanuel
2006
Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027
Bonnans, F.; Martinon, P.; Trélat, E.
2009
On the stabilization problem for nonholonomic distributions. Zbl 1194.49070
Rifford, Ludovic; Trélat, Emmanuel
2009
Sparse control of Hegselmann-Krause models: black hole and declustering. Zbl 1422.91620
Piccoli, Benedetto; Duteil, Nastassia Pouradier; Trélat, Emmanuel
2019
A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images. Zbl 1216.47107
Bergounioux, M.; Trélat, E.
2010
New formulation of predictors for finite-dimensional linear control systems with input delay. Zbl 1386.93127
Bresch-Pietri, Delphine; Prieur, Christophe; Trélat, Emmanuel
2018
Linear-quadratic optimal sampled-data control problems: convergence result and Riccati theory. Zbl 1371.93123
Bourdin, Loïc; Trélat, Emmanuel
2017
Optimal control of the atmospheric arc of a space shuttle and numerical simulations with multiple-shooting method. Zbl 1064.49030
Bonnard, B.; Faubourg, L.; Trelat, E.
2005
Stability properties of steady-states for a network of ferromagnetic nanowires. Zbl 1247.35173
Labbé, Stéphane; Privat, Yannick; Trélat, Emmanuel
2012
Continuation from a flat to a round Earth model in the coplanar orbit transfer problem. Zbl 1277.49027
Cerf, Max; Haberkorn, Thomas; Trélat, Emmanuel
2012
Sparse Jurdjevic-Quinn stabilization of dissipative systems. Zbl 1375.93095
Caponigro, Marco; Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel
2017
Minimum time control of the rocket attitude reorientation associated with orbit dynamics. Zbl 1338.49046
Zhu, Jiamin; Treĺat, Emmanuel; Cerf, Max
2016
A geometric approach for optimal control of the atmospheric arc of a space shuttle. (Une approche géométrique du contrôle optimal de l’arc atmosphérique de la navette spatiale.) Zbl 1054.49027
Bonnard, Bernard; Trélat, Emmanuel
2002
General Cauchy-Lipschitz theory for $$\Delta$$-Cauchy problems with Carathéodory dynamics on time scales. Zbl 1319.34158
Bourdin, Loïc; Trélat, Emmanuel
2014
Actuator design for parabolic distributed parameter systems with the moment method. Zbl 1361.49020
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2017
Minimal controllability time for finite-dimensional control systems under state constraints. Zbl 1406.93059
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique
2018
Smooth control of nanowires by means of a magnetic field. Zbl 1158.35321
Carbou, Gilles; Labbé, Stéphane; Trélat, Emmanuel
2009
Regularization of chattering phenomena via bounded variation controls. Zbl 1423.49037
Caponigro, Marco; Ghezzi, Roberta; Piccoli, Benedetto; Trélat, Emmanuel
2018
Allee optimal control of a system in ecology. Zbl 1411.93198
Trélat, Emmanuel; Zhu, Jiamin; Zuazua, Enrique
2018
Generic properties of singular trajectories. (Propriétés génériques des trajectoires singulières.) Zbl 1038.58019
Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel
2003
PI regulation of a reaction-diffusion equation with delayed boundary control. Zbl 07352210
Lhachemi, Hugo; Prieur, Christophe; Trélat, Emmanuel
2021
Planar tilting maneuver of a spacecraft: singular arcs in the minimum time problem and chattering. Zbl 1347.49038
Zhu, Jiamin; Trélat, Emmanuel; Cerf, Max
2016
Asymptotics of accessibility sets along an abnormal trajectory. Zbl 0996.93009
Trélat, Emmanuel
2001
A penalization approach for tomographic reconstruction of binary axially symmetric objects. Zbl 1166.49032
Abraham, R.; Bergounioux, M.; Trélat, E.
2008
High order variational integrators in the optimal control of mechanical systems. Zbl 1332.65184
Campos, Cédric M.; Ober-Blöbaum, Sina; Trélat, Emmanuel
2015
Characterization by observability inequalities of controllability and stabilization properties. Zbl 1431.93011
Trélat, Emmanuel; Wang, Gengsheng; Xu, Yashan
2020
Sub-Riemannian structures on groups of diffeomorphisms. Zbl 1382.58008
Arguillère, Sylvain; Trélat, Emmanuel
2017
Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via optogenetics. Zbl 1376.93118
Renault, Vincent; Thieullen, Michèle; Trélat, Emmanuel
2017
Addendum to: “Pontryagin’s maximum principle for dynamic systems on time scales”. Zbl 1474.49043
Bourdin, Loïc; Stanzhytskyi, Oleksandr; Trélat, Emmanuel
2017
Shape turnpike for linear parabolic PDE models. Zbl 1451.93170
Lance, Gontran; Trélat, Emmanuel; Zuazua, Enrique
2020
Controllablity of Couette flows. Zbl 1129.76019
Schmidt, Michael; Trélat, Emmanuel
2006
Phase portrait control for 1D monostable and bistable reaction-diffusion equations. Zbl 1406.35161
Pouchol, Camille; Trélat, Emmanuel; Zuazua, Enrique
2019
Asymptotic approach on conjugate points for minimal time bang-bang controls. Zbl 1218.49012
Silva, C.; Trélat, E.
2010
Quantum ergodicity and quantum limits for sub-Riemannian Laplacians. Zbl 1368.58016
Colin de Verdière, Yves; Hillairet, Luc; Trélat, Emmanuel
2016
Robust optimal stabilization of the brockett integrator via a hybrid feedback. Zbl 1102.93034
Prieur, C.; Trélat, E.
2005
On sharpness of the local Kato-smoothing property for dispersive wave equations. Zbl 1355.35030
Sun, Shu-Ming; Trélat, Emmanuel; Zhang, Bing-Yu; Zhong, Ning
2017
Controllability of partial differential equations. Zbl 1217.93030
Chitour, Yacine; Trélat, Emmanuel
2006
Sub-Riemannian geometry, one-parameter deformation of the Martinet flat case. Zbl 0980.53043
Bonnard, B.; Chyba, M.; Trelat, E.
1998
Minimal time spiking in various ChR2-controlled neuron models. Zbl 1383.49054
Renault, Vincent; Thieullen, Michèle; Trélat, Emmanuel
2018
Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations. Zbl 1447.92360
Pouchol, Camille; Trélat, Emmanuel
2018
Registration of multiple shapes using constrained optimal control. Zbl 1352.94005
Arguillère, Sylvain; Trélat, Emmanuel; Trouvé, Alain; Younes, Laurent
2016
Solving chance constrained optimal control problems in aerospace via kernel density estimation. Zbl 1402.93261
Caillau, J.-B.; Cerf, M.; Sassi, A.; Trélat, E.; Zidani, H.
2018
Geometric optimal control and applications to aerospace. Zbl 1403.49003
Zhu, Jiamin; Trélat, Emmanuel; Cerf, Max
2017
On optimal control and its applications. Zbl 1207.49002
Silva, Cristiana J.; Torres, Delfim F. M.; Trélat, Emmanuel
2009
Non-subanalyticity of sub-Riemannian Martinet spheres. Zbl 0999.53026
Trélat, Emmanuel
2001
Second order optimality conditions with applications. Zbl 1163.49307
Bonnard, B.; Caillau, J.-B.; Trelat, E.
2007
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Zbl 1410.35090
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2019
Eight-shaped Lissajous orbits in the Earth-Moon system. Zbl 1238.70023
Archambeau, Grégory; Augros, Philippe; Trélat, Emmanuel
2011
Optimal control of a space shuttle, and numerical simulations. Zbl 1062.49033
Trélat, Emmanuel
2003
Observability properties of the homogeneous wave equation on a closed manifold. Zbl 1429.35144
Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel
2019
The transcendence necessary for computing the sphere and wave front in Martinet sub-Riemannian geometry. Zbl 0999.58007
Bonnard, B.; Lonay, G.; Trelat, E.
1999
The transcendence needed to compute the sphere and the wave front in Martinet $$SR$$-geometry. Zbl 0988.35008
Bonnard, B.; Launay, G.; Trélat, E.
2001
Singular trajectories and subanalyticity in optimal control and Hamilton-Jacobi theory. Zbl 1168.49308
Trélat, E.
2006
Bifurcations of reachable sets near an abnormal direction and consequences. Zbl 1102.93301
Trélat, Emmanuel
2002
Optimal control of endoatmospheric launch vehicle systems: geometric and computational issues. Zbl 07256359
Bonalli, Riccardo; Hérissé, Bruno; Trélat, Emmanuel
2020
Constructive exact control of semilinear 1D wave equations by a least-squares approach. Zbl 07493007
Münch, Arnaud; Trélat, Emmanuel
2022
PI regulation of a reaction-diffusion equation with delayed boundary control. Zbl 07352210
Lhachemi, Hugo; Prieur, Christophe; Trélat, Emmanuel
2021
Nonnegative control of finite-dimensional linear systems. Zbl 1466.93020
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique
2021
Characterization by observability inequalities of controllability and stabilization properties. Zbl 1431.93011
Trélat, Emmanuel; Wang, Gengsheng; Xu, Yashan
2020
Shape turnpike for linear parabolic PDE models. Zbl 1451.93170
Lance, Gontran; Trélat, Emmanuel; Zuazua, Enrique
2020
Optimal control of endoatmospheric launch vehicle systems: geometric and computational issues. Zbl 07256359
Bonalli, Riccardo; Hérissé, Bruno; Trélat, Emmanuel
2020
Feedback stabilization of a 1-D linear reaction-diffusion equation with delay boundary control. Zbl 1482.93476
Prieur, Christophe; Trélat, Emmanuel
2019
Sparse control of Hegselmann-Krause models: black hole and declustering. Zbl 1422.91620
Piccoli, Benedetto; Duteil, Nastassia Pouradier; Trélat, Emmanuel
2019
Phase portrait control for 1D monostable and bistable reaction-diffusion equations. Zbl 1406.35161
Pouchol, Camille; Trélat, Emmanuel; Zuazua, Enrique
2019
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Zbl 1410.35090
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2019
Observability properties of the homogeneous wave equation on a closed manifold. Zbl 1429.35144
Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel
2019
Continuity of Pontryagin extremals with respect to delays in nonlinear optimal control. Zbl 1412.49045
Bonalli, Riccardo; Hérissé, Bruno; Trélat, Emmanuel
2019
Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. Zbl 1387.49042
Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique
2018
Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays. Zbl 1427.34103
Pignotti, Cristina; Trélat, Emmanuel
2018
Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy. Zbl 1393.35263
Pouchol, Camille; Clairambault, Jean; Lorz, Alexander; Trélat, Emmanuel
2018
Spectral asymptotics for sub-Riemannian Laplacians. I: Quantum ergodicity and quantum limits in the 3-dimensional contact case. Zbl 1388.35137
De Verdière, Yves Colin; Hillairet, Luc; Trélat, Emmanuel
2018
Integral and measure-turnpike properties for infinite-dimensional optimal control systems. Zbl 1394.49018
Trélat, Emmanuel; Zhang, Can
2018
New formulation of predictors for finite-dimensional linear control systems with input delay. Zbl 1386.93127
Bresch-Pietri, Delphine; Prieur, Christophe; Trélat, Emmanuel
2018
Minimal controllability time for finite-dimensional control systems under state constraints. Zbl 1406.93059
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique
2018
Regularization of chattering phenomena via bounded variation controls. Zbl 1423.49037
Caponigro, Marco; Ghezzi, Roberta; Piccoli, Benedetto; Trélat, Emmanuel
2018
Allee optimal control of a system in ecology. Zbl 1411.93198
Trélat, Emmanuel; Zhu, Jiamin; Zuazua, Enrique
2018
Minimal time spiking in various ChR2-controlled neuron models. Zbl 1383.49054
Renault, Vincent; Thieullen, Michèle; Trélat, Emmanuel
2018
Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations. Zbl 1447.92360
Pouchol, Camille; Trélat, Emmanuel
2018
Solving chance constrained optimal control problems in aerospace via kernel density estimation. Zbl 1402.93261
Caillau, J.-B.; Cerf, M.; Sassi, A.; Trélat, E.; Zidani, H.
2018
Value function for regional control problems via dynamic programming and Pontryagin maximum principle. Zbl 1418.49022
Barles, Guy; Briani, Ariela; Trélat, Emmanuel
2018
Stabilization of semilinear PDEs, and uniform decay under discretization. Zbl 1436.35305
Trélat, Emmanuel
2018
Optimal shape design for 2D heat equations in large time. Zbl 1474.35351
Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique
2018
Why is evolution important in cancer and what mathematics should be used to treat cancer? Focus on drug resistance. Zbl 1404.92087
Almeida, Luís; Chisholm, Rebecca H.; Clairambault, Jean; Lorenzi, Tommaso; Lorz, Alexander; Pouchol, Camille; Trélat, Emmanuel
2018
Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254
Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel
2017
Minimal controllability time for the heat equation under unilateral state or control constraints. Zbl 1370.35156
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique
2017
Mean-field sparse Jurdjevic-Quinn control. Zbl 1365.93037
Caponigro, Marco; Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel
2017
Nonlinear damped partial differential equations and their uniform discretizations. Zbl 1364.37155
Alabau-Boussouira, Fatiha; Privat, Yannick; Trélat, Emmanuel
2017
Linear-quadratic optimal sampled-data control problems: convergence result and Riccati theory. Zbl 1371.93123
Bourdin, Loïc; Trélat, Emmanuel
2017
Sparse Jurdjevic-Quinn stabilization of dissipative systems. Zbl 1375.93095
Caponigro, Marco; Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel
2017
Actuator design for parabolic distributed parameter systems with the moment method. Zbl 1361.49020
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2017
Sub-Riemannian structures on groups of diffeomorphisms. Zbl 1382.58008
Arguillère, Sylvain; Trélat, Emmanuel
2017
Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via optogenetics. Zbl 1376.93118
Renault, Vincent; Thieullen, Michèle; Trélat, Emmanuel
2017
Addendum to: “Pontryagin’s maximum principle for dynamic systems on time scales”. Zbl 1474.49043
Bourdin, Loïc; Stanzhytskyi, Oleksandr; Trélat, Emmanuel
2017
On sharpness of the local Kato-smoothing property for dispersive wave equations. Zbl 1355.35030
Sun, Shu-Ming; Trélat, Emmanuel; Zhang, Bing-Yu; Zhong, Ning
2017
Geometric optimal control and applications to aerospace. Zbl 1403.49003
Zhu, Jiamin; Trélat, Emmanuel; Cerf, Max
2017
Low-thrust Lyapunov to Lyapunov and halo to halo missions with $$L^{2}$$-minimization. Zbl 1370.49024
Chupin, Maxime; Haberkorn, Thomas; Trélat, Emmanuel
2017
Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012
Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique
2016
Optimal sampled-data control, and generalizations on time scales. Zbl 1335.49031
Bourdin, Loïc; Trélat, Emmanuel
2016
Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2016
Impulse and sampled-data optimal control of heat equations, and error estimates. Zbl 1370.35158
Trélat, Emmanuel; Wang, Lijuan; Zhang, Yubiao
2016
Minimum time control of the rocket attitude reorientation associated with orbit dynamics. Zbl 1338.49046
Zhu, Jiamin; Treĺat, Emmanuel; Cerf, Max
2016
Planar tilting maneuver of a spacecraft: singular arcs in the minimum time problem and chattering. Zbl 1347.49038
Zhu, Jiamin; Trélat, Emmanuel; Cerf, Max
2016
Quantum ergodicity and quantum limits for sub-Riemannian Laplacians. Zbl 1368.58016
Colin de Verdière, Yves; Hillairet, Luc; Trélat, Emmanuel
2016
Registration of multiple shapes using constrained optimal control. Zbl 1352.94005
Arguillère, Sylvain; Trélat, Emmanuel; Trouvé, Alain; Younes, Laurent
2016
The turnpike property in finite-dimensional nonlinear optimal control. Zbl 1301.49010
Trélat, Emmanuel; Zuazua, Enrique
2015
Sparse stabilization and control of alignment models. Zbl 1331.49003
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel
2015
Control to flocking of the kinetic Cucker-Smale model. Zbl 1327.93230
Piccoli, Benedetto; Rossi, Francesco; Trélat, Emmanuel
2015
Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2015
Shape deformation analysis from the optimal control viewpoint. Zbl 1319.49064
Arguillère, Sylvain; Trélat, Emmanuel; Trouvé, Alain; Younes, Laurent
2015
Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Zbl 1332.93069
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2015
High order variational integrators in the optimal control of mechanical systems. Zbl 1332.65184
Campos, Cédric M.; Ober-Blöbaum, Sina; Trélat, Emmanuel
2015
Optimal design of sensors for a damped wave equation. Zbl 1381.93027
Trélat, Emmanuel; Privat, Yannick
2015
General Cauchy-Lipschitz theory for $$\Delta$$-Cauchy problems with Carathéodory dynamics on time scales. Zbl 1319.34158
Bourdin, Loïc; Trélat, Emmanuel
2014
Shape deformation and optimal control. Zbl 1331.49060
Arguillère, Sylvain; Trélat, Emmanuel; Trouvé, Alain; Younès, Laurent
2014
Sparse stabilization and optimal control of the Cucker-Smale model. Zbl 1275.49003
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel
2013
Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2013
Optimal observation of the one-dimensional wave equation. Zbl 1302.93052
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2013
Pontryagin maximum principle for finite dimensional nonlinear optimal control problems on time scales. Zbl 1282.49016
Bourdin, Loïc; Trélat, Emmanuel
2013
Optimal control and applications to aerospace: some results and challenges. Zbl 1257.49019
Trélat, E.
2012
Stability properties of steady-states for a network of ferromagnetic nanowires. Zbl 1247.35173
Labbé, Stéphane; Privat, Yannick; Trélat, Emmanuel
2012
Continuation from a flat to a round Earth model in the coplanar orbit transfer problem. Zbl 1277.49027
Cerf, Max; Haberkorn, Thomas; Trélat, Emmanuel
2012
Min-max and min-min Stackelberg strategies with closed-loop information structure. Zbl 1228.91019
Jungers, M.; Trelat, E.; Abou-Kandil, H.
2011
Convergence results for smooth regularizations of hybrid nonlinear optimal control problems. Zbl 1232.49004
Haberkorn, T.; Trélat, E.
2011
Eight-shaped Lissajous orbits in the Earth-Moon system. Zbl 1238.70023
Archambeau, Grégory; Augros, Philippe; Trélat, Emmanuel
2011
Smooth regularization of bang-bang optimal control problems. Zbl 1368.49029
Silva, Cristiana; Trélat, Emmanuel
2010
A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images. Zbl 1216.47107
Bergounioux, M.; Trélat, E.
2010
Asymptotic approach on conjugate points for minimal time bang-bang controls. Zbl 1218.49012
Silva, C.; Trélat, E.
2010
Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027
Bonnans, F.; Martinon, P.; Trélat, E.
2009
On the stabilization problem for nonholonomic distributions. Zbl 1194.49070
Rifford, Ludovic; Trélat, Emmanuel
2009
Smooth control of nanowires by means of a magnetic field. Zbl 1158.35321
Carbou, Gilles; Labbé, Stéphane; Trélat, Emmanuel
2009
On optimal control and its applications. Zbl 1207.49002
Silva, Cristiana J.; Torres, Delfim F. M.; Trélat, Emmanuel
2009
Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193
Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel
2008
Singular trajectories of control-affine systems. Zbl 1157.49041
Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel
2008
Control of travelling walls in a ferromagnetic nanowire. Zbl 1310.82059
Carbou, Gilles; Labbé, Stéphane; Trélat, Emmanuel
2008
Control for fast and stable laminar-to-high-Reynolds-numbers transfer in a 2D Navier-Stokes channel flow. Zbl 1147.93011
Vázquez, Rafael; Trélat, Emmanuel; Coron, Jean-Michel
2008
A penalization approach for tomographic reconstruction of binary axially symmetric objects. Zbl 1166.49032
Abraham, R.; Bergounioux, M.; Trélat, E.
2008
Second order optimality conditions in the smooth case and applications in optimal control. Zbl 1123.49014
Bonnard, Bernard; Caillau, Jean-Baptiste; Trélat, Emmanuel
2007
Second order optimality conditions with applications. Zbl 1163.49307
Bonnard, B.; Caillau, J.-B.; Trelat, E.
2007
Uniform controllability of semidiscrete approximations of parabolic control systems. Zbl 1129.93324
Labbé, Stéphane; Trélat, Emmanuel
2006
Genericity results for singular curves. Zbl 1102.53019
Chitour, Y.; Jean, F.; Trélat, E.
2006
Global steady-state stabilization and controllability of 1D semilinear wave equations. Zbl 1101.93039
Coron, Jean-Michel; Trélat, Emmanuel
2006
Global subanalytic solutions of Hamilton–Jacobi type equations. Zbl 1094.35020
Trélat, Emmanuel
2006
Celestial mechanics and control of space vehicles. (Mécanique céleste et contrôle des véhicules spatiaux.) Zbl 1104.70001
Bonnard, Bernard; Faubourg, Ludovic; Trélat, Emmanuel
2006
Quasi-optimal robust stabilization of control systems. Zbl 1127.93035
Prieur, Christophe; Trélat, Emmanuel
2006
Controllablity of Couette flows. Zbl 1129.76019
Schmidt, Michael; Trélat, Emmanuel
2006
Controllability of partial differential equations. Zbl 1217.93030
Chitour, Yacine; Trélat, Emmanuel
2006
Singular trajectories and subanalyticity in optimal control and Hamilton-Jacobi theory. Zbl 1168.49308
Trélat, E.
2006
Optimal control. Theory and applications. (Contrôle optimal. Théorie et applications.) Zbl 1112.49001
Trélat, Emmanuel
2005
Morse-Sard type results in sub-Riemannian geometry. Zbl 1069.53033
Rifford, L.; Trélat, E.
2005
Geometric optimal control of elliptic Keplerian orbits. Zbl 1082.70014
Bonnard, B.; Caillau, J.-B.; Trélat, E.
2005
Optimal control of the atmospheric arc of a space shuttle and numerical simulations with multiple-shooting method. Zbl 1064.49030
Bonnard, B.; Faubourg, L.; Trelat, E.
2005
Robust optimal stabilization of the brockett integrator via a hybrid feedback. Zbl 1102.93034
Prieur, C.; Trélat, E.
2005
Global steady-state controllability of one-dimensional semilinear heat equations. Zbl 1101.93011
Coron, Jean-Michel; Trélat, Emmanuel
2004
Optimal control with state constraints and the space shuttle re-entry problem. Zbl 1034.49014
Bonnard, B.; Faubourg, L.; Launay, G.; Trélat, E.
2003
Generic properties of singular trajectories. (Propriétés génériques des trajectoires singulières.) Zbl 1038.58019
Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel
2003
...and 12 more Documents
all top 5

### Cited by 1,064 Authors

 73 Trélat, Emmanuel 31 Zuazua, Enrique 23 Bonnard, Bernard 18 Privat, Yannick 12 Grüne, Lars 12 Henrion, Didier 12 Piccoli, Benedetto 11 Münch, Arnaud 11 Prieur, Christophe 11 Rossi, Francesco 10 Caillau, Jean-Baptiste 10 Wang, Gengsheng 9 Bourdin, Loïc 9 Fornasier, Massimo 9 Kalise, Dante 9 Kunisch, Karl 9 Lhachemi, Hugo 8 Agrachev, Andreĭ Aleksandrovich 8 Albi, Giacomo 8 Barilari, Davide 8 Bellomo, Nicola 8 Boarotto, Francesco 8 Fernández-Cara, Enrique 8 Gaitsgory, Vladimir A. 8 Malinowska, Agnieszka Barbara 8 Rizzi, Luca 7 Boyer, Franck 7 Cannarsa, Piermarco 7 Gugat, Martin 7 Lorenzi, Tommaso 7 Odzijewicz, Tatiana 7 Rouot, Jérémy 7 Trouvé, Alain 6 Bayen, Térence 6 Bongini, Mattia 6 Bonnet, Benoît 6 Coron, Jean-Michel 6 Korda, Milan 6 Rifford, Ludovic 6 Shorten, Robert N. 5 Arguillère, Sylvain 5 Beauchard, Karine 5 Bergounioux, Maïtine 5 Bonnans, Joseph Frédéric 5 Cavalcanti, Marcelo Moreira 5 Cots, Olivier 5 Dubey, Shruti A. 5 Dwivedi, Sharad 5 Faulwasser, Timm 5 Gris, Barbara 5 Ha, Seung-Yeal 5 Hernández-Santamaría, Víctor 5 Krstić, Miroslav 5 Lasserre, Jean-Bernard 5 Léautaud, Matthieu 5 Lohéac, Jérôme 5 Schaller, Manuel 5 Shamsi, Mostafa 5 Shvartsman, Ilya A. 5 Vazquez, Rafael 5 Wang, Lijuan 5 Xu, Yashan 5 Yang, Donghui 5 Zhang, Yubiao 4 Albano, Paolo 4 Aronna, María Soledad 4 Boscain, Ugo 4 Bressan, Alberto 4 Brezzi, Franco 4 Caponigro, Marco 4 Carbou, Gilles 4 Cerf, Max 4 Charlot, Grégoire 4 Charon, Nicolas 4 Chatterjee, Debasish 4 Chitour, Yacine 4 Choi, Young-Pil 4 Chyba, Monique 4 Claeys, Mathieu 4 Domingos Cavalcanti, Valéria Neves 4 Faella, Luisa 4 Fischer, Véronique 4 Fridman, Emilia 4 Goreac, Dan 4 Hermant, Audrey 4 Herty, Michael Matthias 4 Jones, Colin Neil 4 Katz, Rami 4 Laurent, Camille 4 Le Rousseau, Jérôme H. 4 Liu, Yicheng 4 Mairet, Francis 4 Marigonda, Antonio 4 Martinez, Patrick 4 Martinon, Pierre 4 Mehrpouya, Mohammad Ali 4 Pareschi, Lorenzo 4 Pouchol, Camille 4 Schiela, Anton 4 Sigalotti, Mario ...and 964 more Authors
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### Cited in 207 Serials

 57 Automatica 55 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 53 SIAM Journal on Control and Optimization 29 Journal of Optimization Theory and Applications 28 Journal of Differential Equations 26 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 23 Mathematical Control and Related Fields 21 Systems & Control Letters 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Discrete and Continuous Dynamical Systems. Series B 14 Applied Mathematics and Optimization 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Journal of Mathematical Analysis and Applications 11 Discrete and Continuous Dynamical Systems 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 International Journal of Control 9 Journal of the Franklin Institute 9 Calculus of Variations and Partial Differential Equations 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 MCSS. Mathematics of Control, Signals, and Systems 8 Journal of Dynamical and Control Systems 8 Networks and Heterogeneous Media 7 Acta Applicandae Mathematicae 6 SIAM Journal on Mathematical Analysis 6 Mathematical Programming. Series A. Series B 6 European Journal of Control 6 Evolution Equations and Control Theory 5 Journal of Mathematical Biology 5 Mathematics and Computers in Simulation 5 SIAM Journal on Applied Mathematics 5 Mathematical Modelling of Natural Phenomena 5 SIAM Journal on Imaging Sciences 5 Set-Valued and Variational Analysis 4 Inverse Problems 4 Mathematical Biosciences 4 Nonlinearity 4 Applied Mathematics and Computation 4 Proceedings of the American Mathematical Society 4 Optimal Control Applications & Methods 4 Geometric and Functional Analysis. GAFA 4 Communications in Partial Differential Equations 4 Celestial Mechanics and Dynamical Astronomy 4 SIAM Journal on Applied Dynamical Systems 4 Discrete and Continuous Dynamical Systems. Series S 4 Dynamic Games and Applications 4 Séminaire Laurent Schwartz. EDP et Applications 3 Journal of Functional Analysis 3 Memoirs of the American Mathematical Society 3 Numerische Mathematik 3 The Journal of Geometric Analysis 3 Automation and Remote Control 3 NoDEA. Nonlinear Differential Equations and Applications 3 Advances in Computational Mathematics 3 Vietnam Journal of Mathematics 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Contemporary Mathematics 3 Foundations of Computational Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Kinetic and Related Models 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 Computers & Mathematics with Applications 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Ukrainian Mathematical Journal 2 Mathematics of Computation 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Quarterly of Applied Mathematics 2 Transactions of the American Mathematical Society 2 European Journal of Applied Mathematics 2 Journal of Global Optimization 2 European Journal of Operational Research 2 International Journal of Robust and Nonlinear Control 2 SIAM Journal on Optimization 2 Journal of Mathematical Imaging and Vision 2 Journal of Nonlinear Science 2 Computational Optimization and Applications 2 SIAM Journal on Scientific Computing 2 Journal of Mathematical Sciences (New York) 2 Journal of Inverse and Ill-Posed Problems 2 Bulletin des Sciences Mathématiques 2 The Journal of Fourier Analysis and Applications 2 Revista Matemática Complutense 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Evolution Equations 2 Journal of Systems Science and Complexity 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Mathematical Biosciences and Engineering 2 Proceedings of the Steklov Institute of Mathematics 2 Science China. Mathematics 2 Journal of Computational Dynamics 2 Pacific Journal of Mathematics for Industry 2 Research in the Mathematical Sciences 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Statistical Physics ...and 107 more Serials
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### Cited in 48 Fields

 382 Systems theory; control (93-XX) 372 Calculus of variations and optimal control; optimization (49-XX) 287 Partial differential equations (35-XX) 88 Operations research, mathematical programming (90-XX) 80 Numerical analysis (65-XX) 79 Biology and other natural sciences (92-XX) 72 Ordinary differential equations (34-XX) 70 Differential geometry (53-XX) 51 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Global analysis, analysis on manifolds (58-XX) 38 Mechanics of particles and systems (70-XX) 33 Dynamical systems and ergodic theory (37-XX) 28 Probability theory and stochastic processes (60-XX) 21 Fluid mechanics (76-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Computer science (68-XX) 15 Mechanics of deformable solids (74-XX) 13 Real functions (26-XX) 13 Operator theory (47-XX) 13 Optics, electromagnetic theory (78-XX) 13 Quantum theory (81-XX) 10 Difference and functional equations (39-XX) 9 Integral equations (45-XX) 9 Information and communication theory, circuits (94-XX) 8 Topological groups, Lie groups (22-XX) 8 Functional analysis (46-XX) 8 Statistics (62-XX) 6 Measure and integration (28-XX) 4 Algebraic geometry (14-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 4 General topology (54-XX) 3 Abstract harmonic analysis (43-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX)

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