Edit Profile (opens in new tab) Coron, Jean-Michel Compute Distance To: Compute Author ID: coron.jean-michel Published as: Coron, Jean-Michel; Coron, J.-M.; Coron, Jean Michel; Coron, J. M. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 153 Publications since 1979, including 2 Books 8 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 96 Co-Authors with 113 Joint Publications 2,570 Co-Co-Authors all top 5 Co-Authors 46 single-authored 18 Bastin, Georges 10 d’Andréa-Novel, Brigitte 9 Brézis, Haïm 8 Shang, Peipei 6 Bahri, Abbas 5 Beauchard, Karine 5 Guerrero, Sergio 5 Hayat, Amaury 5 Nguyen, Hoai-Minh 4 Olive, Guillaume 4 Trélat, Emmanuel 3 Bethuel, Fabrice 3 Chu, Jixun 3 Ghidaglia, Jean-Michel 3 Glass, Olivier 3 Hélein, Frédéric 3 Hu, Long 3 Li, Tatsien 3 Rosier, Lionel 3 Xiang, Shengquan 2 Berestycki, Henri 2 Diaz Diaz, Jesus Ildefonso 2 Drici, Abdelmalek 2 Ervedoza, Sylvain 2 Gabriel, Pierre 2 Keimer, Alexander 2 Lieb, Elliott H. 2 Lü, Qi 2 Marbach, Frédéric 2 Mingazzini, Tommaso 2 Pflug, Lukas 2 Praly, Laurent 2 Rivas, Ivonne 2 Rouchon, Pierre 2 Sueur, Franck 2 Tamasoiu, Simona Oana 2 Tang, Shuxia 2 Teismann, Holger 2 Vazquez, Rafael 1 Alabau-Boussouira, Fatiha 1 Bandle, Catherine 1 Bao, Gang 1 Bayen, Alexandre M. 1 Benci, Vieri 1 Brighi, Bernard 1 Brillard, Alain 1 Cannarsa, Piermarco 1 Cerpa, Eduardo 1 Chipot, Michel 1 Chitour, Yacine 1 Chyba, Monique 1 Clément, Frédérique 1 Comte, Myriam 1 Crépeau, Emmanuelle 1 de Halleux, Jonathan 1 De Nitti, Nicola 1 Demengel, Françoise 1 Diagne, Ababacar 1 Ekeland, Ivar 1 Fursikov, Andreĭ Vladimirovich 1 Gagnon, Ludovick 1 Garavello, Mauro 1 Ghoshal, Shyam Sundar 1 Grüne, Lars 1 Guilleron, Jean-Philippe 1 Gulliver, Robert D. II 1 Haraux, Alain 1 Haut, Bertrand 1 Hoàng Xuân Phù 1 Jacquemard, Alain 1 Kawski, Matthias 1 Keraï, El-Yazid 1 Krstić, Miroslav 1 Li, Yachun 1 Lions, Pierre-Louis 1 Lissy, Pierre 1 Micu, Sorin 1 Mirrahimi, Mazyar 1 Morancey, Morgan 1 Nirenberg, Louis 1 Patterson, Geoff 1 Perrollaz, Vincent 1 Perruquetti, Wilfrid 1 Picot, Gautier 1 Polyakov, Andrey 1 Pomet, Jean-Baptiste 1 Prieur, Christophe 1 Sari, Tewfik 1 Sbordone, Carlo 1 Shafrir, Itai 1 Soyeur, Alain 1 Tournier, Pierre-Henri 1 Valente, Vanda 1 Vergara Caffarelli, Giorgio 1 Wang, Weimin 1 Worthmann, Karl 1 Zhang, Christophe all top 5 Serials 16 SIAM Journal on Control and Optimization 8 Comptes Rendus de l’Académie des Sciences. Série I 7 Automatica 7 Systems & Control Letters 6 Journal of Differential Equations 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 IEEE Transactions on Automatic Control 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Journal of Functional Analysis 3 Chinese Annals of Mathematics. Series B 3 MCSS. Mathematics of Control, Signals, and Systems 3 SIAM Journal on Mathematical Analysis 3 Series in Contemporary Applied Mathematics CAM 3 Progress in Nonlinear Differential Equations and Their Applications 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Séminaire Équations aux Dérivées Partielles 2 Vietnam Journal of Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Networks and Heterogeneous Media 2 Matapli 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Stochastics 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Compositio Mathematica 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Acta Applicandae Mathematicae 1 Asymptotic Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Systems, Estimation, and Control 1 Russian Journal of Mathematical Physics 1 Computational and Applied Mathematics 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Lecture Notes in Mathematics 1 Mathematical Surveys and Monographs 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Travaux en Cours 1 Analysis & PDE 1 Mathematical Control and Related Fields 1 Advances in Nonlinear Analysis 1 Annals of PDE all top 5 Fields 107 Systems theory; control (93-XX) 101 Partial differential equations (35-XX) 19 Fluid mechanics (76-XX) 17 Global analysis, analysis on manifolds (58-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 11 Differential geometry (53-XX) 9 General and overarching topics; collections (00-XX) 8 Operator theory (47-XX) 7 Functional analysis (46-XX) 6 Ordinary differential equations (34-XX) 5 Mechanics of particles and systems (70-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 3,846 times in 2,287 Documents Cited by ▼ Year ▼ On a nonlinear elliptic equation involving the critical Sobolev exponent: The effect of the topology of the domain. Zbl 0649.35033Bahri, Abbas; Coron, Jean-Michel 343 1988 Harmonic maps with defects. Zbl 0608.58016Brézis, Haïm; Coron, Jean-Michel; Lieb, Elliott H. 192 1986 The scalar-curvature problem on the standard three-dimensional sphere. Zbl 0722.53032Bahri, Abbas; Coron, Jean-Michel 150 1991 Convergence of solutions of H-systems or how to blow bubbles. Zbl 0584.49024Brézis, Haïm; Coron, Jean-Michel 142 1985 Topologie et cas limite des injections de Sobolev. (Topology and limit case for Sobolev imbeddings). Zbl 0569.35032Coron, Jean-Michel 140 1984 Global asymptotic stabilization for controllable systems without drift. Zbl 0760.93067Coron, Jean-Michel 114 1992 Stability and boundary stabilization of 1-D hyperbolic systems. Zbl 1377.35001Bastin, Georges; Coron, Jean-Michel 108 2016 Multiple solution of H-systems and Rellich’s conjecture. Zbl 0537.49022Brézis, Haïm; Coron, Jean-Michel 101 1984 Local exponential \(H^2\) stabilization of a \(2\times 2\) quasilinear hyperbolic system using backstepping. Zbl 1408.35009Coron, Jean-Michel; Vazquez, Rafael; Krstic, Miroslav; Bastin, Georges 99 2013 Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. Zbl 0484.35057Brézis, Haïm; Coron, Jean-Michel; Nirenberg, Louis 99 1980 A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws. Zbl 1366.93481Coron, Jean-Michel; d’Andréa-Novel, Brigitte; Bastin, Georges 90 2007 Control and nonlinearity. Zbl 1140.93002Coron, Jean-Michel 79 2007 Adding an integrator for the stabilization problem. Zbl 0747.93072Coron, Jean-Michel; Praly, Laurent 75 1991 Dissipative boundary conditions for one-dimensional nonlinear hyperbolic systems. Zbl 1172.35008Coron, Jean-Michel; Bastin, Georges; d’Andréa-Novel, Brigitte 74 2008 On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions. Zbl 0872.93040Coron, Jean-Michel 70 1996 Boundary feedback control in networks of open channels. Zbl 1175.93108de Halleux, J.; Prieur, C.; Coron, J.-M.; d’Andréa-Novel, B.; Bastin, G. 68 2003 Large solutions for harmonic maps in two dimensions. Zbl 0532.58006Brézis, Haïm; Coron, Jean-Michel 66 1983 Exact boundary controllability of a nonlinear KdV equation with critical lengths. Zbl 1061.93054Coron, Jean-Michel; Crépeau, Emmanuelle 63 2004 Periodic solutions of a nonlinear wave equation without assumption of monotonicity. Zbl 0489.35061Coron, Jean-Michel 62 1983 On the controllability of 2-D incompressible perfect fluids. Zbl 0848.76013Coron, J.-M. 59 1996 Controllability of a quantum particle in a moving potential well. Zbl 1188.93017Beauchard, Karine; Coron, Jean-Michel 57 2006 Relaxed energies for harmonic maps. Zbl 0793.58011Bethuel, F.; Brézis, Haïm; Coron, Jean-Michel 56 1990 Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws. Zbl 1244.93143Diagne, Ababacar; Bastin, Georges; Coron, Jean-Michel 49 2012 Global steady-state controllability of one-dimensional semilinear heat equations. Zbl 1101.93011Coron, Jean-Michel; Trélat, Emmanuel 46 2004 Global exact controllability of the 2D Navier-Stokes equations on a manifold without boundary. Zbl 0938.93030Coron, Jean-Michel; Fursikov, Andrei V. 44 1996 Stabilization of a rotating body beam without damping. Zbl 0908.93055Coron, Jean-Michel; d’Andréa-Novel, Brigitte 43 1998 Explosion en temps fini pour le flot des applications harmoniques. (Finite-time blow up for the heat flow of harmonic mappings). Zbl 0679.58017Coron, Jean-Michel; Ghidaglia, Jean-Michel 41 1989 Singular optimal control: a linear 1D parabolic-hyperbolic example. Zbl 1078.93009Coron, J.-M.; Guerrero, S. 40 2005 Local null controllability of the three-dimensional Navier-Stokes system with a distributed control having two vanishing components. Zbl 1308.35163Coron, Jean-Michel; Lissy, Pierre 39 2014 A relation between continuous time-varying and discontinuous feedback stabilization. Zbl 0925.93827Coron, Jean-Michel; Rosier, Lionel 38 1994 Rapid stabilization for a Korteweg-de Vries equation from the left Dirichlet boundary condition. Zbl 1369.93480Cerpa, Eduardo; Coron, Jean-Michel 34 2013 A necessary condition for feedback stabilization. Zbl 0699.93075Coron, Jean-Michel 34 1990 On boundary feedback stabilization of non-uniform linear \(2\times 2\) hyperbolic systems over a bounded interval. Zbl 1229.93130Bastin, Georges; Coron, Jean-Michel 33 2011 On the null asymptotic stabilization of the two-dimensional incompressible Euler equations in a simply connected domain. Zbl 0954.76010Coron, Jean-Michel 33 1999 Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach. Zbl 0982.93063d’Andréa-Novel, Brigitte; Coron, Jean-Michel 32 2000 On the stabilization in finite time of locally controllable systems by means of continuous time-varying feedback law. Zbl 0828.93054Coron, Jean-Michel 32 1995 Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation. Zbl 1376.93090Coron, Jean-Michel; Hu, Long; Olive, Guillaume 31 2017 Minimizing p-harmonic maps into spheres. Zbl 0677.58021Coron, Jean-Michel; Gulliver, Robert 31 1989 On Lyapunov stability of linearised Saint-Venant equations for a sloping channel. Zbl 1185.37175Bastin, Georges; Coron, Jean-Michel; d’Andréa-Novel, Brigitte 31 2009 Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right. Zbl 1302.35333Coron, Jean-Michel; Lü, Qi 30 2014 Exact boundary controllability of the Euler equations of incompressible perfect fluids in dimension two. (Contrôlabilité exacte frontière de l’équation d’Euler des fluides parfaits incompressibles bidimensionnels.) Zbl 0781.76013Coron, Jean-Michel 30 1993 Dissipative boundary conditions for one-dimensional quasi-linear hyperbolic systems: Lyapunov stability for the \(C^1\)-norm. Zbl 1316.35179Coron, Jean-Michel; Bastin, Georges 29 2015 Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations. Zbl 1071.76012Coron, Jean-Michel 27 2002 Null controllability of the \(N\)-dimensional Stokes system with \(N - 1\) scalar controls. Zbl 1172.35042Coron, Jean-Michel; Guerrero, Sergio 27 2009 Boundary control with integral action for hyperbolic systems of conservation laws: stability and experiments. Zbl 1283.93211Dos Santos, V.; Bastin, G.; Coron, J.-M.; D’Andréa-Novel, B. 26 2008 Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach. Zbl 1417.93067Coron, Jean-Michel; Nguyen, Hoai-Minh 25 2017 Implicit Lyapunov control of finite dimensional Schrödinger equations. Zbl 1110.81063Beauchard, Karine; Coron, Jean Michel; Mirrahimi, Mazyar; Rouchon, Pierre 24 2007 Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation. Zbl 1317.93209Coron, Jean-Michel; Lü, Qi 22 2015 Controllability issues for continuous-spectrum systems and ensemble controllability of Bloch equations. Zbl 1193.93073Beauchard, Karine; Coron, Jean-Michel; Rouchon, Pierre 22 2010 Periodic solutions of nonlinear wave equations and Hamiltonian systems. Zbl 0462.35004Brézis, Haïm; Coron, Jean-Michel 22 1981 Analysis of a conservation law modeling a highly re-entrant manufacturing system. Zbl 1207.35218Coron, Jean-Michel; Kawski, Matthias; Wang, Zhiqiang 22 2010 Global steady-state stabilization and controllability of 1D semilinear wave equations. Zbl 1101.93039Coron, Jean-Michel; Trélat, Emmanuel 21 2006 Nonuniqueness for the heat flow of harmonic maps. Zbl 0707.58017Coron, Jean-Michel 21 1990 Null controllability of a parabolic system with a cubic coupling term. Zbl 1213.35247Coron, Jean-Michel; Guerrero, Sergio; Rosier, Lionel 21 2010 Asymptotic stability of a nonlinear Korteweg-de Vries equation with critical lengths. Zbl 1320.35307Chu, Jixun; Coron, Jean-Michel; Shang, Peipei 19 2015 Lyapunov stability analysis of networks of scalar conservation laws. Zbl 1165.35411Bastin, G.; Haut, B.; Coron, J.-M.; d’Andréa-Novel, B. 19 2007 Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed. Zbl 1201.35126Coron, Jean-Michel; Glass, Oliver; Wang, Zhiqiang 18 2009 Dissipative boundary conditions for nonlinear 1-D hyperbolic systems: sharp conditions through an approach via time-delay systems. Zbl 1320.35196Coron, Jean-Michel; Nguyen, Hoai-Minh 17 2015 A cohomological criterion for density of smooth maps in Sobolev spaces between two manifolds. Zbl 0735.46017Bethuel, F.; Coron, Jean-Michel; Demengel, F.; Helein, F. 17 1991 Controllability for a scalar conservation law with nonlocal velocity. Zbl 1243.35165Coron, Jean-Michel; Wang, Zhiqiang 17 2012 Linearized control systems and applications to smooth stabilization. Zbl 0796.93097Coron, Jean-Michel 16 1994 Local null controllability of the two-dimensional Navier-Stokes system in the torus with a control force having a vanishing component. Zbl 1179.35209Coron, Jean-Michel; Guerrero, Sergio 16 2009 Stabilization and controllability of first-order integro-differential hyperbolic equations. Zbl 1346.93070Coron, Jean-Michel; Hu, Long; Olive, Guillaume 15 2016 Une théorie des points critiques à l’infini pour l’équation de Yamabe et le problème de Kazdan-Warner. (Critical points at infinity in the Yamabe equation and the Kazdan-Warner problem). Zbl 0585.58005Bahri, Abbas; Coron, Jean-Michel 15 1985 Output feedback stabilization for a scalar conservation law with a nonlocal velocity. Zbl 1323.93060Coron, Jean-Michel; Wang, Zhiqiang 15 2013 Stability of linear density-flow hyperbolic systems under PI boundary control. Zbl 1371.93160Bastin, Georges; Coron, Jean-Michel; Tamasoiu, Simona Oana 15 2015 Internal controllability of first order quasi-linear hyperbolic systems with a reduced number of controls. Zbl 1356.35128Alabau-Boussouira, Fatiha; Coron, Jean-Michel; Olive, Guillaume 15 2017 Explicit feedbacks stabilizing the attitude of a rigid spacecraft with two control torques. Zbl 0858.93058Coron, Jean-Michel; Keraï, El-Yazid 14 1996 Control for fast and stable laminar-to-high-Reynolds-numbers transfer in a 2D Navier-Stokes channel flow. Zbl 1147.93011Vázquez, Rafael; Trélat, Emmanuel; Coron, Jean-Michel 14 2008 On homogeneous finite-time control for linear evolution equation in Hilbert space. Zbl 1423.93160Polyakov, Andrey; Coron, Jean-Michel; Rosier, Lionel 14 2018 On the stabilization of controllable and observable systems by an output feedback law. Zbl 0830.93064Coron, Jean-Michel 13 1994 On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well. Zbl 1082.93002Coron, Jean-Michel 12 2006 Optimal time for the controllability of linear hyperbolic systems in one-dimensional space. Zbl 1418.35259Coron, Jean-Michel; Nguyen, Hoai-Minh 12 2019 Rapid stabilization of a linearized bilinear 1-D Schrödinger equation. Zbl 1392.35281Coron, Jean-Michel; Gagnon, Ludovick; Morancey, Morgan 12 2018 Control of three heat equations coupled with two cubic nonlinearities. Zbl 1432.35113Coron, Jean-Michel; Guilleron, Jean-Philippe 11 2017 Dissipative boundary conditions for \(2\times 2\) hyperbolic systems of conservation laws for entropy solutions in BV. Zbl 1368.35171Coron, Jean-Michel; Ervedoza, Sylvain; Ghoshal, Shyam Sundar; Glass, Olivier; Perrollaz, Vincent 11 2017 The continuity of the rearrangement in \(W^{1,p}({\mathbb{R}})\). Zbl 0574.46021Coron, Jean-Michel 11 1984 Sur une équation elliptique non linéaire avec l’exposant critique de Sobolev. (On a nonlinear elliptic equation involving the critical Sobolev exponent). Zbl 0601.35040Bahri, Abbas; Coron, Jean-Michel 10 1985 Heat flows and relaxed energies for harmonic maps. Zbl 0795.35053Bethuel, Fabrice; Coron, Jean-Michel; Ghidaglia, Jean-Michel; Soyeur, Alain 10 1992 Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry. Zbl 0686.58012Coron, Jean-Michel; Helein, F. 10 1989 The Dirichlet problem for harmonic maps from the disk into the Euclidean n-sphere. Zbl 0597.35022Benci, V.; Coron, Jean-Michel 9 1985 A quadratic Lyapunov function for hyperbolic density-velocity systems with nonuniform steady states. Zbl 1370.93193Bastin, Georges; Coron, Jean-Michel 9 2017 Minimal period for a vibrating string of infinite length. (Période minimale pour une corde vibrante de longueur infinie.) Zbl 0942.35512Coron, Jean-Michel 9 1982 Vers une théorie des points critiques à l’infini. (Towards a theory of critical points at infinity). Zbl 0585.58004Bahri, Abbas; Coron, Jean-Michel 8 1985 Stabilization of an overhead crane with a variable length flexible cable. Zbl 1119.93043D’Andréa-Novel, B.; Coron, J. M. 7 2002 On the stabilization of some nonlinear control systems: Results, tools, and applications. Zbl 0984.93067Coron, Jean-Michel 7 1999 Local exponential stabilization for a class of Korteweg-de Vries equations by means of time-varying feedback laws. Zbl 1365.93391Coron, Jean-Michel; Rivas, Ivonne; Xiang, Shengquan 7 2017 Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions. Zbl 1447.93024Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck 7 2020 Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Zbl 1439.35367Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping 6 2019 Phantom tracking method, homogeneity and rapid stabilization. Zbl 1272.93094Coron, Jean-Michel 5 2013 Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation. Zbl 1418.35265Bastin, Georges; Coron, Jean-Michel; Hayat, Amaury; Shang, Peipei 5 2019 Asymptotic stability of a Korteweg-de Vries equation with a two-dimensional center manifold. Zbl 1420.35327Tang, Shuxia; Chu, Jixun; Shang, Peipei; Coron, Jean-Michel 5 2018 Minimal time for the bilinear control of Schrödinger equations. Zbl 1296.93076Beauchard, Karine; Coron, Jean-Michel; Teismann, Holger 4 2014 Feedback stabilization for a scalar conservation law with PID boundary control. Zbl 1321.93052Coron, Jean Michel; Tamasoiu, Simona Oana 4 2015 Controllability and nonlinearity. Zbl 1146.93007Coron, Jean-Michel 4 2008 Some open problems on the control of nonlinear partial differential equations. Zbl 1200.93018Coron, Jean-Michel 4 2007 Stabilization of controllable systems. Zbl 0858.93059Coron, Jean-Michel 4 1996 Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space. Zbl 1454.35234Coron, Jean-Michel; Hu, Long; Olive, Guillaume; Shang, Peipei 4 2021 Optimization of an amplification protocol for misfolded proteins by using relaxed control. Zbl 1306.49003Coron, Jean-Michel; Gabriel, Pierre; Shang, Peipei 3 2015 Quadratic approximation and time-varying feedback laws. Zbl 1386.93130Coron, Jean-Michel; Rivas, Ivonne 3 2017 Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space. Zbl 1454.35234Coron, Jean-Michel; Hu, Long; Olive, Guillaume; Shang, Peipei 4 2021 Small-time global stabilization of the viscous Burgers equation with three scalar controls. Zbl 1467.93249Coron, Jean-Michel; Xiang, Shengquan 2 2021 Feedforward boundary control of \(2\times 2\) nonlinear hyperbolic systems with application to Saint-Venant equations. Zbl 1455.93083Bastin, Georges; Coron, Jean-Michel; Hayat, Amaury 1 2021 Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions. Zbl 1447.93024Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck 7 2020 Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space. Zbl 1470.93137Coron, Jean-Michel; Nguyen, Hoai-Minh 3 2020 Model predictive control, cost controllability, and homogeneity. Zbl 1453.93083Coron, Jean-Michel; Grüne, Lars; Worthmann, Karl 2 2020 Optimal time for the controllability of linear hyperbolic systems in one-dimensional space. Zbl 1418.35259Coron, Jean-Michel; Nguyen, Hoai-Minh 12 2019 Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Zbl 1439.35367Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping 6 2019 Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation. Zbl 1418.35265Bastin, Georges; Coron, Jean-Michel; Hayat, Amaury; Shang, Peipei 5 2019 PI controllers for 1-D nonlinear transport equation. Zbl 1482.93270Coron, Jean-Michel; Hayat, Amaury 2 2019 One-dimensional hyperbolic conservation laws and their applications. Lecture notes for the LIASFMA Shanghai summer school, Shanghai, China, August 16–27, 2015. Zbl 1415.35003 1 2019 Exponential stability of PI control for Saint-Venant equations with a friction term. Zbl 1436.35035Bastin, Georges; Coron, Jean-Michel 1 2019 On homogeneous finite-time control for linear evolution equation in Hilbert space. Zbl 1423.93160Polyakov, Andrey; Coron, Jean-Michel; Rosier, Lionel 14 2018 Rapid stabilization of a linearized bilinear 1-D Schrödinger equation. Zbl 1392.35281Coron, Jean-Michel; Gagnon, Ludovick; Morancey, Morgan 12 2018 Asymptotic stability of a Korteweg-de Vries equation with a two-dimensional center manifold. Zbl 1420.35327Tang, Shuxia; Chu, Jixun; Shang, Peipei; Coron, Jean-Michel 5 2018 Minimal time for the approximate bilinear control of Schrödinger equations. Zbl 1391.93036Beauchard, Karine; Coron, Jean-Michel; Teismann, Holger 2 2018 Gevrey class regularity of a semigroup associated with a nonlinear Korteweg-de Vries equation. Zbl 1392.35258Chu, Jixun; Coron, Jean-Michel; Shang, Peipei; Tang, Shu-Xia 1 2018 Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation. Zbl 1376.93090Coron, Jean-Michel; Hu, Long; Olive, Guillaume 31 2017 Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach. Zbl 1417.93067Coron, Jean-Michel; Nguyen, Hoai-Minh 25 2017 Internal controllability of first order quasi-linear hyperbolic systems with a reduced number of controls. Zbl 1356.35128Alabau-Boussouira, Fatiha; Coron, Jean-Michel; Olive, Guillaume 15 2017 Control of three heat equations coupled with two cubic nonlinearities. Zbl 1432.35113Coron, Jean-Michel; Guilleron, Jean-Philippe 11 2017 Dissipative boundary conditions for \(2\times 2\) hyperbolic systems of conservation laws for entropy solutions in BV. Zbl 1368.35171Coron, Jean-Michel; Ervedoza, Sylvain; Ghoshal, Shyam Sundar; Glass, Olivier; Perrollaz, Vincent 11 2017 A quadratic Lyapunov function for hyperbolic density-velocity systems with nonuniform steady states. Zbl 1370.93193Bastin, Georges; Coron, Jean-Michel 9 2017 Local exponential stabilization for a class of Korteweg-de Vries equations by means of time-varying feedback laws. Zbl 1365.93391Coron, Jean-Michel; Rivas, Ivonne; Xiang, Shengquan 7 2017 Quadratic approximation and time-varying feedback laws. Zbl 1386.93130Coron, Jean-Michel; Rivas, Ivonne 3 2017 Exponential stability of semi-linear one-dimensional balance laws. Zbl 1414.93159Bastin, Georges; Coron, Jean-Michel 2 2017 Stability and boundary stabilization of 1-D hyperbolic systems. Zbl 1377.35001Bastin, Georges; Coron, Jean-Michel 108 2016 Stabilization and controllability of first-order integro-differential hyperbolic equations. Zbl 1346.93070Coron, Jean-Michel; Hu, Long; Olive, Guillaume 15 2016 Dissipative boundary conditions for one-dimensional quasi-linear hyperbolic systems: Lyapunov stability for the \(C^1\)-norm. Zbl 1316.35179Coron, Jean-Michel; Bastin, Georges 29 2015 Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation. Zbl 1317.93209Coron, Jean-Michel; Lü, Qi 22 2015 Asymptotic stability of a nonlinear Korteweg-de Vries equation with critical lengths. Zbl 1320.35307Chu, Jixun; Coron, Jean-Michel; Shang, Peipei 19 2015 Dissipative boundary conditions for nonlinear 1-D hyperbolic systems: sharp conditions through an approach via time-delay systems. Zbl 1320.35196Coron, Jean-Michel; Nguyen, Hoai-Minh 17 2015 Stability of linear density-flow hyperbolic systems under PI boundary control. Zbl 1371.93160Bastin, Georges; Coron, Jean-Michel; Tamasoiu, Simona Oana 15 2015 Feedback stabilization for a scalar conservation law with PID boundary control. Zbl 1321.93052Coron, Jean Michel; Tamasoiu, Simona Oana 4 2015 Optimization of an amplification protocol for misfolded proteins by using relaxed control. Zbl 1306.49003Coron, Jean-Michel; Gabriel, Pierre; Shang, Peipei 3 2015 Local null controllability of the three-dimensional Navier-Stokes system with a distributed control having two vanishing components. Zbl 1308.35163Coron, Jean-Michel; Lissy, Pierre 39 2014 Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right. Zbl 1302.35333Coron, Jean-Michel; Lü, Qi 30 2014 Minimal time for the bilinear control of Schrödinger equations. Zbl 1296.93076Beauchard, Karine; Coron, Jean-Michel; Teismann, Holger 4 2014 Local exponential \(H^2\) stabilization of a \(2\times 2\) quasilinear hyperbolic system using backstepping. Zbl 1408.35009Coron, Jean-Michel; Vazquez, Rafael; Krstic, Miroslav; Bastin, Georges 99 2013 Rapid stabilization for a Korteweg-de Vries equation from the left Dirichlet boundary condition. Zbl 1369.93480Cerpa, Eduardo; Coron, Jean-Michel 34 2013 Output feedback stabilization for a scalar conservation law with a nonlocal velocity. Zbl 1323.93060Coron, Jean-Michel; Wang, Zhiqiang 15 2013 Phantom tracking method, homogeneity and rapid stabilization. Zbl 1272.93094Coron, Jean-Michel 5 2013 Optimal control of cell mass and maturity in a model of follicular ovulation. Zbl 1316.35187Clément, Frédérique; Coron, Jean-Michel; Shang, Peipei 1 2013 Global null controllability of the 1-dimensional nonlinear slow diffusion equation. Zbl 1316.35188Coron, Jean-Michel; Díaz, Jesús Ildefonso; Drici, Abdelmalek; Mingazzini, Tommaso 1 2013 Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws. Zbl 1244.93143Diagne, Ababacar; Bastin, Georges; Coron, Jean-Michel 49 2012 Controllability for a scalar conservation law with nonlocal velocity. Zbl 1243.35165Coron, Jean-Michel; Wang, Zhiqiang 17 2012 Control of partial differential equations. Cetraro, Italy 2010. Papers based on the presentations at the CIME course, July 19–23, 2010. Zbl 1239.93001 1 2012 On boundary feedback stabilization of non-uniform linear \(2\times 2\) hyperbolic systems over a bounded interval. Zbl 1229.93130Bastin, Georges; Coron, Jean-Michel 33 2011 On the controllability of nonlinear partial differential equations. Zbl 1226.93025Coron, Jean-Michel 3 2011 Controllability issues for continuous-spectrum systems and ensemble controllability of Bloch equations. Zbl 1193.93073Beauchard, Karine; Coron, Jean-Michel; Rouchon, Pierre 22 2010 Analysis of a conservation law modeling a highly re-entrant manufacturing system. Zbl 1207.35218Coron, Jean-Michel; Kawski, Matthias; Wang, Zhiqiang 22 2010 Null controllability of a parabolic system with a cubic coupling term. Zbl 1213.35247Coron, Jean-Michel; Guerrero, Sergio; Rosier, Lionel 21 2010 On Lyapunov stability of linearised Saint-Venant equations for a sloping channel. Zbl 1185.37175Bastin, Georges; Coron, Jean-Michel; d’Andréa-Novel, Brigitte 31 2009 Null controllability of the \(N\)-dimensional Stokes system with \(N - 1\) scalar controls. Zbl 1172.35042Coron, Jean-Michel; Guerrero, Sergio 27 2009 Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed. Zbl 1201.35126Coron, Jean-Michel; Glass, Oliver; Wang, Zhiqiang 18 2009 Local null controllability of the two-dimensional Navier-Stokes system in the torus with a control force having a vanishing component. Zbl 1179.35209Coron, Jean-Michel; Guerrero, Sergio 16 2009 Uniform observability estimates for the 1-D discretized wave equation and the random choice method. Zbl 1177.35041Coron, Jean-Michel; Ervedoza, Sylvain; Glass, Olivier 2 2009 Dissipative boundary conditions for one-dimensional nonlinear hyperbolic systems. Zbl 1172.35008Coron, Jean-Michel; Bastin, Georges; d’Andréa-Novel, Brigitte 74 2008 Boundary control with integral action for hyperbolic systems of conservation laws: stability and experiments. Zbl 1283.93211Dos Santos, V.; Bastin, G.; Coron, J.-M.; D’Andréa-Novel, B. 26 2008 Control for fast and stable laminar-to-high-Reynolds-numbers transfer in a 2D Navier-Stokes channel flow. Zbl 1147.93011Vázquez, Rafael; Trélat, Emmanuel; Coron, Jean-Michel 14 2008 Controllability and nonlinearity. Zbl 1146.93007Coron, Jean-Michel 4 2008 A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws. Zbl 1366.93481Coron, Jean-Michel; d’Andréa-Novel, Brigitte; Bastin, Georges 90 2007 Control and nonlinearity. Zbl 1140.93002Coron, Jean-Michel 79 2007 Implicit Lyapunov control of finite dimensional Schrödinger equations. Zbl 1110.81063Beauchard, Karine; Coron, Jean Michel; Mirrahimi, Mazyar; Rouchon, Pierre 24 2007 Lyapunov stability analysis of networks of scalar conservation laws. Zbl 1165.35411Bastin, G.; Haut, B.; Coron, J.-M.; d’Andréa-Novel, B. 19 2007 Some open problems on the control of nonlinear partial differential equations. Zbl 1200.93018Coron, Jean-Michel 4 2007 Controllability of a quantum particle in a moving potential well. Zbl 1188.93017Beauchard, Karine; Coron, Jean-Michel 57 2006 Global steady-state stabilization and controllability of 1D semilinear wave equations. Zbl 1101.93039Coron, Jean-Michel; Trélat, Emmanuel 21 2006 On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well. Zbl 1082.93002Coron, Jean-Michel 12 2006 On conditions that prevent steady-state controllability of certain linear partial differential equations. Zbl 1134.93313Chitour, Yacine; Coron, Jean-Michel; Garavello, Mauro 3 2006 Singular optimal control: a linear 1D parabolic-hyperbolic example. Zbl 1078.93009Coron, J.-M.; Guerrero, S. 40 2005 Exact boundary controllability of a nonlinear KdV equation with critical lengths. Zbl 1061.93054Coron, Jean-Michel; Crépeau, Emmanuelle 63 2004 Global steady-state controllability of one-dimensional semilinear heat equations. Zbl 1101.93011Coron, Jean-Michel; Trélat, Emmanuel 46 2004 Boundary feedback control in networks of open channels. Zbl 1175.93108de Halleux, J.; Prieur, C.; Coron, J.-M.; d’Andréa-Novel, B.; Bastin, G. 68 2003 Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations. Zbl 1071.76012Coron, Jean-Michel 27 2002 Stabilization of an overhead crane with a variable length flexible cable. Zbl 1119.93043D’Andréa-Novel, B.; Coron, J. M. 7 2002 Return method: Some applications to flow control. Zbl 1019.93025Coron, Jean-Michel 2 2002 Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach. Zbl 0982.93063d’Andréa-Novel, Brigitte; Coron, Jean-Michel 32 2000 On the null asymptotic stabilization of the two-dimensional incompressible Euler equations in a simply connected domain. Zbl 0954.76010Coron, Jean-Michel 33 1999 On the stabilization of some nonlinear control systems: Results, tools, and applications. Zbl 0984.93067Coron, Jean-Michel 7 1999 Stabilization of two-dimensional incompressible perfect fluids. (Sur la stabilisation des fluides parfaits incompressibles bidimensionnels.) Zbl 1086.93511Coron, Jean-Michel 1 1999 Some open problems in control theory. Zbl 0945.93006Coron, Jean-Michel 1 1999 Stabilization of a rotating body beam without damping. Zbl 0908.93055Coron, Jean-Michel; d’Andréa-Novel, Brigitte 43 1998 On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions. Zbl 0872.93040Coron, Jean-Michel 70 1996 On the controllability of 2-D incompressible perfect fluids. Zbl 0848.76013Coron, J.-M. 59 1996 Global exact controllability of the 2D Navier-Stokes equations on a manifold without boundary. Zbl 0938.93030Coron, Jean-Michel; Fursikov, Andrei V. 44 1996 Explicit feedbacks stabilizing the attitude of a rigid spacecraft with two control torques. Zbl 0858.93058Coron, Jean-Michel; Keraï, El-Yazid 14 1996 Stabilization of controllable systems. Zbl 0858.93059Coron, Jean-Michel 4 1996 On the stabilization in finite time of locally controllable systems by means of continuous time-varying feedback law. Zbl 0828.93054Coron, Jean-Michel 32 1995 A relation between continuous time-varying and discontinuous feedback stabilization. Zbl 0925.93827Coron, Jean-Michel; Rosier, Lionel 38 1994 Linearized control systems and applications to smooth stabilization. Zbl 0796.93097Coron, Jean-Michel 16 1994 On the stabilization of controllable and observable systems by an output feedback law. Zbl 0830.93064Coron, Jean-Michel 13 1994 Relations between nonlinear controllability and stabilizability. (Relations entre commandabilité et stabilisations non linéaires.) Zbl 0813.93014Coron, Jean-Michel 3 1994 Exact boundary controllability of the Euler equations of incompressible perfect fluids in dimension two. (Contrôlabilité exacte frontière de l’équation d’Euler des fluides parfaits incompressibles bidimensionnels.) Zbl 0781.76013Coron, Jean-Michel 30 1993 Global asymptotic stabilization for controllable systems without drift. Zbl 0760.93067Coron, Jean-Michel 114 1992 Heat flows and relaxed energies for harmonic maps. Zbl 0795.35053Bethuel, Fabrice; Coron, Jean-Michel; Ghidaglia, Jean-Michel; Soyeur, Alain 10 1992 The scalar-curvature problem on the standard three-dimensional sphere. Zbl 0722.53032Bahri, Abbas; Coron, Jean-Michel 150 1991 Adding an integrator for the stabilization problem. Zbl 0747.93072Coron, Jean-Michel; Praly, Laurent 75 1991 A cohomological criterion for density of smooth maps in Sobolev spaces between two manifolds. Zbl 0735.46017Bethuel, F.; Coron, Jean-Michel; Demengel, F.; Helein, F. 17 1991 Nematics. Mathematical and physical aspects. Proceedings of the NATO advanced research workshop on defects, singularities and patterns in nematic liquid crystals: mathematical and physical aspects, Orsay, France, May 28-June 1, 1990. Zbl 0722.00043 3 1991 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,023 Authors 62 Coron, Jean-Michel 35 Krstić, Miroslav 34 Prieur, Christophe 33 Chtioui, Hichem 23 Ben Ayed, Mohamed 22 Beauchard, Karine 22 Guerrero, Sergio 21 Gugat, Martin 21 Pistoia, Angela 19 Rosier, Lionel 19 Zuazua, Enrique 18 Brézis, Haïm 18 Musso, Monica 18 Ould Ahmedou, Mohameden 17 Clapp, Mónica 17 Yan, Shusen 16 Musina, Roberta 16 Passaseo, Donato 15 Chentouf, Boumediène 15 Glass, Olivier 15 Karafyllis, Iasson 15 Leugering, Günter 15 Malchiodi, Andrea 15 Sigalotti, Mario 15 Trélat, Emmanuel 14 Bahri, Abbas 14 Fernández-Cara, Enrique 14 Mironescu, Petru 13 Abdelhedi, Wael 13 Bethuel, Fabrice 13 Ervedoza, Sylvain 13 Guo, Yuxia 13 Hardt, Robert M. 13 Li, YanYan 13 Lin, Fang Hua 13 Peng, Shuangjie 12 Aamo, Ole Morten 12 Bastin, Georges 12 Cao, Daomin 12 El Mehdi, Khalil O. 12 Giaquinta, Mariano 12 Lissy, Pierre 12 Liu, Yungang 12 Pacella, Filomena 12 Rivière, Tristan 12 Wei, Juncheng 11 Cerpa, Eduardo 11 Grossi, Massimo 11 Herty, Michael Matthias 11 Keimer, Alexander 11 Shang, Peipei 10 Hammami, Mokhless 10 Hong, Minchun 10 Isobe, Takeshi 10 Molle, Riccardo 10 Nguyen, Hoai-Minh 10 Rey, Olivier 10 Zhang, Bingyu 9 Auriol, Jean 9 Boscain, Ugo 9 Caldiroli, Paolo 9 Deutscher, Joachim 9 Hadiji, Rejeb 9 Hayat, Amaury 9 Hirano, Norimichi 9 Hu, Long 9 Lin, Wei 9 Millot, Vincent 9 Salvatore, Addolorata 9 Schikorra, Armin 9 Struwe, Michael 9 Tanaka, Kazunaga 9 Vazquez, Rafael 9 Wang, Chunhua 8 Alves, Claudianor Oliveira 8 Carreño, Nicolás 8 Gamara, Najoua 8 Jerrard, Robert Leon 8 Jiang, Zhong-Ping 8 Lhachemi, Hugo 8 Morancey, Morgan 8 Münch, Arnaud 8 Orlandi, Giandomenico 8 Pazoto, Ademir Fernando 8 Pflug, Lukas 8 Pisante, Adriano 8 Polyakov, Andrey 8 Rouchon, Pierre 8 Tsinias, John 8 Willem, Michel 7 Anfinsen, Henrik 7 Benci, Vieri 7 Caponigro, Marco 7 Chaves-Silva, Felipe Wallison 7 Del Pino, Manuel A. 7 Di Meglio, Florent 7 Dubljevic, Stevan S. 7 Ignat, Radu 7 Jammazi, Chaker 7 Jost, Jürgen ...and 1,923 more Authors all top 5 Cited in 272 Serials 144 Automatica 123 Journal of Differential Equations 113 Systems & Control Letters 99 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 94 Calculus of Variations and Partial Differential Equations 84 Annales de l’Institut Henri Poincaré. 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