Edit Profile (opens in new tab) Coron, Jean-Michel Co-Author Distance Author ID: coron.jean-michel Published as: Coron, Jean-Michel; Coron, J.-M.; Coron, Jean Michel; Coron, J. M. more...less External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 158 Publications since 1979, including 2 Books 9 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 99 Co-Authors with 121 Joint Publications 2,879 Co-Co-Authors all top 5 Co-Authors 46 single-authored 19 Bastin, Georges 10 d’Andréa-Novel, Brigitte 9 Brézis, Haïm 8 Shang, Peipei 6 Bahri, Abbas 6 Hayat, Amaury 6 Nguyen, Hoai-Minh 5 Beauchard, Karine 5 Guerrero, Sergio 5 Wang, Zhiqiang 4 Li, Tatsien 4 Olive, Guillaume 4 Trélat, Emmanuel 4 Xiang, Shengquan 3 Bethuel, Fabrice 3 Chu, Jixun 3 Ghidaglia, Jean-Michel 3 Glass, Olivier 3 Hélein, Frédéric 3 Hu, Long 3 Rosier, Lionel 2 Berestycki, Henri 2 Díaz Díaz, Jesús Ildefonso 2 Drici, Abdelmalek 2 Ervedoza, Sylvain 2 Gabriel, Pierre 2 Ghys, Étienne 2 Keimer, Alexander 2 Lieb, Elliott Hershel 2 Lü, Qi 2 Marbach, Frédéric 2 Mingazzini, Tommaso 2 Pflug, Lukas 2 Praly, Laurent 2 Rivas, Ivonne 2 Rouchon, Pierre 2 Saint-Raymond, Laure 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 Journal of Differential Equations 7 Systems & Control Letters 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 IEEE Transactions on Automatic Control 4 MCSS. Mathematics of Control, Signals, and Systems 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Series in Contemporary Applied Mathematics CAM 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 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 SIAM Journal on Mathematical Analysis 3 Progress in Nonlinear Differential Equations and Their Applications 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 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 111 Systems theory; control (93-XX) 105 Partial differential equations (35-XX) 19 Fluid mechanics (76-XX) 17 Global analysis, analysis on manifolds (58-XX) 15 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 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-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 140 Publications have been cited 4,383 times in 2,567 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 385 1988 Harmonic maps with defects. Zbl 0608.58016Brézis, Haïm; Coron, Jean-Michel; Lieb, Elliott H. 199 1986 The scalar-curvature problem on the standard three-dimensional sphere. Zbl 0722.53032Bahri, Abbas; Coron, Jean-Michel 168 1991 Topologie et cas limite des injections de Sobolev. (Topology and limit case for Sobolev imbeddings). Zbl 0569.35032Coron, Jean-Michel 156 1984 Control and nonlinearity. Zbl 1140.93002Coron, Jean-Michel 154 2007 Convergence of solutions of H-systems or how to blow bubbles. Zbl 0584.49024Brézis, Haïm; Coron, Jean-Michel 152 1985 Stability and boundary stabilization of 1-D hyperbolic systems. Zbl 1377.35001Bastin, Georges; Coron, Jean-Michel 143 2016 Global asymptotic stabilization for controllable systems without drift. Zbl 0760.93067Coron, Jean-Michel 120 1992 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 111 2013 Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. Zbl 0484.35057Brézis, Haïm; Coron, Jean-Michel; Nirenberg, Louis 105 1980 Multiple solution of H-systems and Rellich’s conjecture. Zbl 0537.49022Brézis, Haïm; Coron, Jean-Michel 105 1984 A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws. Zbl 1366.93481Coron, Jean-Michel; d’Andréa-Novel, Brigitte; Bastin, Georges 96 2007 Dissipative boundary conditions for one-dimensional nonlinear hyperbolic systems. Zbl 1172.35008Coron, Jean-Michel; Bastin, Georges; d’Andréa-Novel, Brigitte 81 2008 Adding an integrator for the stabilization problem. Zbl 0747.93072Coron, Jean-Michel; Praly, Laurent 76 1991 On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions. Zbl 0872.93040Coron, Jean-Michel 76 1996 Exact boundary controllability of a nonlinear KdV equation with critical lengths. Zbl 1061.93054Coron, Jean-Michel; Crépeau, Emmanuelle 73 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. 73 2003 Large solutions for harmonic maps in two dimensions. Zbl 0532.58006Brézis, Haïm; Coron, Jean-Michel 67 1983 Global steady-state controllability of one-dimensional semilinear heat equations. Zbl 1101.93011Coron, Jean-Michel; Trélat, Emmanuel 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. 62 1996 Controllability of a quantum particle in a moving potential well. Zbl 1188.93017Beauchard, Karine; Coron, Jean-Michel 61 2006 Relaxed energies for harmonic maps. Zbl 0793.58011Bethuel, F.; Brézis, Haïm; Coron, Jean-Michel 57 1990 Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws. Zbl 1244.93143Diagne, Ababacar; Bastin, Georges; Coron, Jean-Michel 51 2012 Stabilization of a rotating body beam without damping. Zbl 0908.93055Coron, Jean-Michel; d’Andréa-Novel, Brigitte 47 1998 Singular optimal control: a linear 1D parabolic-hyperbolic example. Zbl 1078.93009Coron, J.-M.; Guerrero, S. 46 2005 Global exact controllability of the 2D Navier-Stokes equations on a manifold without boundary. Zbl 0938.93030Coron, Jean-Michel; Fursikov, Andrei V. 46 1996 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 45 2014 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 42 1989 Rapid stabilization for a Korteweg-de Vries equation from the left Dirichlet boundary condition. Zbl 1369.93480Cerpa, Eduardo; Coron, Jean-Michel 41 2013 On boundary feedback stabilization of non-uniform linear \(2\times 2\) hyperbolic systems over a bounded interval. Zbl 1229.93130Bastin, Georges; Coron, Jean-Michel 38 2011 A relation between continuous time-varying and discontinuous feedback stabilization. Zbl 0925.93827Coron, Jean-Michel; Rosier, Lionel 38 1994 Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right. Zbl 1302.35333Coron, Jean-Michel; Lü, Qi 38 2014 A necessary condition for feedback stabilization. Zbl 0699.93075Coron, Jean-Michel 37 1990 Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach. Zbl 0982.93063d’Andréa-Novel, Brigitte; Coron, Jean-Michel 36 2000 Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation. Zbl 1376.93090Coron, Jean-Michel; Hu, Long; Olive, Guillaume 36 2017 On Lyapunov stability of linearised Saint-Venant equations for a sloping channel. Zbl 1185.37175Bastin, Georges; Coron, Jean-Michel; d’Andréa-Novel, Brigitte 35 2009 On the null asymptotic stabilization of the two-dimensional incompressible Euler equations in a simply connected domain. Zbl 0954.76010Coron, Jean-Michel 34 1999 On the stabilization in finite time of locally controllable systems by means of continuous time-varying feedback law. Zbl 0828.93054Coron, Jean-Michel 34 1995 Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations. Zbl 1071.76012Coron, Jean-Michel 33 2002 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 33 1993 Null controllability of the \(N\)-dimensional Stokes system with \(N - 1\) scalar controls. Zbl 1172.35042Coron, Jean-Michel; Guerrero, Sergio 32 2009 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 32 2017 Dissipative boundary conditions for one-dimensional quasi-linear hyperbolic systems: Lyapunov stability for the \(C^1\)-norm. Zbl 1316.35179Coron, Jean-Michel; Bastin, Georges 32 2015 Minimizing p-harmonic maps into spheres. Zbl 0677.58021Coron, Jean-Michel; Gulliver, Robert 31 1989 Global steady-state stabilization and controllability of 1D semilinear wave equations. Zbl 1101.93039Coron, Jean-Michel; Trélat, Emmanuel 31 2006 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. 30 2008 Controllability issues for continuous-spectrum systems and ensemble controllability of Bloch equations. Zbl 1193.93073Beauchard, Karine; Coron, Jean-Michel; Rouchon, Pierre 26 2010 Implicit Lyapunov control of finite dimensional Schrödinger equations. Zbl 1110.81063Beauchard, Karine; Coron, Jean Michel; Mirrahimi, Mazyar; Rouchon, Pierre 25 2007 Analysis of a conservation law modeling a highly re-entrant manufacturing system. Zbl 1207.35218Coron, Jean-Michel; Kawski, Matthias; Wang, Zhiqiang 25 2010 Periodic solutions of nonlinear wave equations and Hamiltonian systems. Zbl 0462.35004Brézis, Haïm; Coron, Jean-Michel 24 1981 Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation. Zbl 1317.93209Coron, Jean-Michel; Lü, Qi 24 2015 Null controllability of a parabolic system with a cubic coupling term. Zbl 1213.35247Coron, Jean-Michel; Guerrero, Sergio; Rosier, Lionel 23 2010 Asymptotic stability of a nonlinear Korteweg-de Vries equation with critical lengths. Zbl 1320.35307Chu, Jixun; Coron, Jean-Michel; Shang, Peipei 23 2015 Nonuniqueness for the heat flow of harmonic maps. Zbl 0707.58017Coron, Jean-Michel 22 1990 Lyapunov stability analysis of networks of scalar conservation laws. Zbl 1165.35411Bastin, G.; Haut, B.; Coron, J.-M.; d’Andréa-Novel, B. 21 2007 On homogeneous finite-time control for linear evolution equation in Hilbert space. Zbl 1423.93160Polyakov, Andrey; Coron, Jean-Michel; Rosier, Lionel 20 2018 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 20 2015 Optimal time for the controllability of linear hyperbolic systems in one-dimensional space. Zbl 1418.35259Coron, Jean-Michel; Nguyen, Hoai-Minh 19 2019 Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed. Zbl 1201.35126Coron, Jean-Michel; Glass, Oliver; Wang, Zhiqiang 19 2009 Controllability for a scalar conservation law with nonlocal velocity. Zbl 1243.35165Coron, Jean-Michel; Wang, Zhiqiang 19 2012 Stability of linear density-flow hyperbolic systems under PI boundary control. Zbl 1371.93160Bastin, Georges; Coron, Jean-Michel; Tamasoiu, Simona Oana 18 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 18 2017 Stabilization and controllability of first-order integro-differential hyperbolic equations. Zbl 1346.93070Coron, Jean-Michel; Hu, Long; Olive, Guillaume 18 2016 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 17 2009 Rapid stabilization of a linearized bilinear 1-D Schrödinger equation. Zbl 1392.35281Coron, Jean-Michel; Gagnon, Ludovick; Morancey, Morgan 17 2018 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 The continuity of the rearrangement in \(W^{1,p}({\mathbb{R}})\). Zbl 0574.46021Coron, Jean-Michel 16 1984 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 16 2008 Output feedback stabilization for a scalar conservation law with a nonlocal velocity. Zbl 1323.93060Coron, Jean-Michel; Wang, Zhiqiang 16 2013 Linearized control systems and applications to smooth stabilization. Zbl 0796.93097Coron, Jean-Michel 16 1994 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 15 2020 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 On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well. Zbl 1082.93002Coron, Jean-Michel 15 2006 On the stabilization of controllable and observable systems by an output feedback law. Zbl 0830.93064Coron, Jean-Michel 15 1994 Explicit feedbacks stabilizing the attitude of a rigid spacecraft with two control torques. Zbl 0858.93058Coron, Jean-Michel; Keraï, El-Yazid 14 1996 Control of three heat equations coupled with two cubic nonlinearities. Zbl 1432.35113Coron, Jean-Michel; Guilleron, Jean-Philippe 13 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 12 2017 Minimal period for a vibrating string of infinite length. (Période minimale pour une corde vibrante de longueur infinie.) Zbl 0942.35512Coron, Jean-Michel 11 1982 A quadratic Lyapunov function for hyperbolic density-velocity systems with nonuniform steady states. Zbl 1370.93193Bastin, Georges; Coron, Jean-Michel 11 2017 Heat flows and relaxed energies for harmonic maps. Zbl 0795.35053Bethuel, Fabrice; Coron, Jean-Michel; Ghidaglia, Jean-Michel; Soyeur, Alain 11 1992 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 Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry. Zbl 0686.58012Coron, Jean-Michel; Helein, F. 10 1989 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 9 2019 Vers une théorie des points critiques à l’infini. (Towards a theory of critical points at infinity). Zbl 0585.58004Bahri, Abbas; Coron, Jean-Michel 9 1985 The Dirichlet problem for harmonic maps from the disk into the Euclidean n-sphere. Zbl 0597.35022Benci, V.; Coron, Jean-Michel 9 1985 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 9 2017 Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space. Zbl 1470.93137Coron, Jean-Michel; Nguyen, Hoai-Minh 8 2020 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 8 2018 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 7 2019 Stabilization of an overhead crane with a variable length flexible cable. Zbl 1119.93043D’Andréa-Novel, B.; Coron, J. M. 7 2002 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 7 2021 On the stabilization of some nonlinear control systems: Results, tools, and applications. Zbl 0984.93067Coron, Jean-Michel 7 1999 Phantom tracking method, homogeneity and rapid stabilization. Zbl 1272.93094Coron, Jean-Michel 6 2013 Feedback stabilization for a scalar conservation law with PID boundary control. Zbl 1321.93052Coron, Jean Michel; Tamasoiu, Simona Oana 6 2015 Null-controllability of linear hyperbolic systems in one dimensional space. Zbl 1478.93052Coron, Jean-Michel; Nguyen, Hoai-Minh 6 2021 Some open problems on the control of nonlinear partial differential equations. Zbl 1200.93018Coron, Jean-Michel 5 2007 Minimal time for the bilinear control of Schrödinger equations. Zbl 1296.93076Beauchard, Karine; Coron, Jean-Michel; Teismann, Holger 5 2014 Model predictive control, cost controllability, and homogeneity. Zbl 1453.93083Coron, Jean-Michel; Grüne, Lars; Worthmann, Karl 5 2020 Controllability and nonlinearity. Zbl 1146.93007Coron, Jean-Michel 4 2008 On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities. Zbl 1504.35469Coron, Jean-Michel; Xiang, Shengquan; Zhang, Ping 1 2023 Stabilization of the linearized water tank system. Zbl 1491.93089Coron, Jean-Michel; Hayat, Amaury; Xiang, Shengquan; Zhang, Christophe 3 2022 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 7 2021 Null-controllability of linear hyperbolic systems in one dimensional space. Zbl 1478.93052Coron, Jean-Michel; Nguyen, Hoai-Minh 6 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 4 2021 Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model. Zbl 1471.35197Bayen, Alexandre; Coron, Jean-Michel; De Nitti, Nicola; Keimer, Alexander; Pflug, Lukas 4 2021 Small-time global stabilization of the viscous Burgers equation with three scalar controls. Zbl 1467.93249Coron, Jean-Michel; Xiang, Shengquan 3 2021 Input-to-state stability in sup norms for hyperbolic systems with boundary disturbances. Zbl 1461.93442Bastin, Georges; Coron, Jean-Michel; Hayat, Amaury 2 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 15 2020 Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space. Zbl 1470.93137Coron, Jean-Michel; Nguyen, Hoai-Minh 8 2020 Model predictive control, cost controllability, and homogeneity. Zbl 1453.93083Coron, Jean-Michel; Grüne, Lars; Worthmann, Karl 5 2020 Small-time stabilization of homogeneous cascaded systems with application to the unicycle and the slider examples. Zbl 1453.93187d’Andréa-Novel, Brigitte; Coron, Jean-Michel; Perruquetti, Wilfrid 2 2020 Nonlocal transport equations – existence and uniqueness of solutions and relation to the corresponding conservation laws. Zbl 1471.35250Coron, Jean-Michel; Keimer, Alexander; Pflug, Lukas 1 2020 Optimal time for the controllability of linear hyperbolic systems in one-dimensional space. Zbl 1418.35259Coron, Jean-Michel; Nguyen, Hoai-Minh 19 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 9 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 7 2019 PI controllers for 1-D nonlinear transport equation. Zbl 1482.93270Coron, Jean-Michel; Hayat, Amaury 3 2019 Exponential stability of PI control for Saint-Venant equations with a friction term. Zbl 1436.35035Bastin, Georges; Coron, Jean-Michel 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 On homogeneous finite-time control for linear evolution equation in Hilbert space. Zbl 1423.93160Polyakov, Andrey; Coron, Jean-Michel; Rosier, Lionel 20 2018 Rapid stabilization of a linearized bilinear 1-D Schrödinger equation. Zbl 1392.35281Coron, Jean-Michel; Gagnon, Ludovick; Morancey, Morgan 17 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 8 2018 Minimal time for the approximate bilinear control of Schrödinger equations. Zbl 1391.93036Beauchard, Karine; Coron, Jean-Michel; Teismann, Holger 4 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 2 2018 Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation. Zbl 1376.93090Coron, Jean-Michel; Hu, Long; Olive, Guillaume 36 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 32 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 18 2017 Control of three heat equations coupled with two cubic nonlinearities. Zbl 1432.35113Coron, Jean-Michel; Guilleron, Jean-Philippe 13 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 12 2017 A quadratic Lyapunov function for hyperbolic density-velocity systems with nonuniform steady states. Zbl 1370.93193Bastin, Georges; Coron, Jean-Michel 11 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 9 2017 Quadratic approximation and time-varying feedback laws. Zbl 1386.93130Coron, Jean-Michel; Rivas, Ivonne 4 2017 Exponential stability of semi-linear one-dimensional balance laws. Zbl 1414.93159Bastin, Georges; Coron, Jean-Michel 4 2017 Stability and boundary stabilization of 1-D hyperbolic systems. Zbl 1377.35001Bastin, Georges; Coron, Jean-Michel 143 2016 Stabilization and controllability of first-order integro-differential hyperbolic equations. Zbl 1346.93070Coron, Jean-Michel; Hu, Long; Olive, Guillaume 18 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 32 2015 Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation. Zbl 1317.93209Coron, Jean-Michel; Lü, Qi 24 2015 Asymptotic stability of a nonlinear Korteweg-de Vries equation with critical lengths. Zbl 1320.35307Chu, Jixun; Coron, Jean-Michel; Shang, Peipei 23 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 20 2015 Stability of linear density-flow hyperbolic systems under PI boundary control. Zbl 1371.93160Bastin, Georges; Coron, Jean-Michel; Tamasoiu, Simona Oana 18 2015 Feedback stabilization for a scalar conservation law with PID boundary control. Zbl 1321.93052Coron, Jean Michel; Tamasoiu, Simona Oana 6 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 45 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 38 2014 Minimal time for the bilinear control of Schrödinger equations. Zbl 1296.93076Beauchard, Karine; Coron, Jean-Michel; Teismann, Holger 5 2014 Global null controllability of the 1-dimensional nonlinear slow diffusion equation. Zbl 1321.35100Coron, Jean-Michel; Díaz, Jesús Ildefonso; Drici, Abdelmalek; Mingazzini, Tommaso 1 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 111 2013 Rapid stabilization for a Korteweg-de Vries equation from the left Dirichlet boundary condition. Zbl 1369.93480Cerpa, Eduardo; Coron, Jean-Michel 41 2013 Output feedback stabilization for a scalar conservation law with a nonlocal velocity. Zbl 1323.93060Coron, Jean-Michel; Wang, Zhiqiang 16 2013 Phantom tracking method, homogeneity and rapid stabilization. Zbl 1272.93094Coron, Jean-Michel 6 2013 Global null controllability of the 1-dimensional nonlinear slow diffusion equation. Zbl 1316.35188Coron, Jean-Michel; Díaz, Jesús Ildefonso; Drici, Abdelmalek; Mingazzini, Tommaso 2 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 Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws. Zbl 1244.93143Diagne, Ababacar; Bastin, Georges; Coron, Jean-Michel 51 2012 Controllability for a scalar conservation law with nonlocal velocity. Zbl 1243.35165Coron, Jean-Michel; Wang, Zhiqiang 19 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 38 2011 On the controllability of nonlinear partial differential equations. Zbl 1226.93025Coron, Jean-Michel 4 2011 Controllability issues for continuous-spectrum systems and ensemble controllability of Bloch equations. Zbl 1193.93073Beauchard, Karine; Coron, Jean-Michel; Rouchon, Pierre 26 2010 Analysis of a conservation law modeling a highly re-entrant manufacturing system. Zbl 1207.35218Coron, Jean-Michel; Kawski, Matthias; Wang, Zhiqiang 25 2010 Null controllability of a parabolic system with a cubic coupling term. Zbl 1213.35247Coron, Jean-Michel; Guerrero, Sergio; Rosier, Lionel 23 2010 On Lyapunov stability of linearised Saint-Venant equations for a sloping channel. Zbl 1185.37175Bastin, Georges; Coron, Jean-Michel; d’Andréa-Novel, Brigitte 35 2009 Null controllability of the \(N\)-dimensional Stokes system with \(N - 1\) scalar controls. Zbl 1172.35042Coron, Jean-Michel; Guerrero, Sergio 32 2009 Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed. Zbl 1201.35126Coron, Jean-Michel; Glass, Oliver; Wang, Zhiqiang 19 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 17 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 81 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. 30 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 16 2008 Controllability and nonlinearity. Zbl 1146.93007Coron, Jean-Michel 4 2008 Control and nonlinearity. Zbl 1140.93002Coron, Jean-Michel 154 2007 A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws. Zbl 1366.93481Coron, Jean-Michel; d’Andréa-Novel, Brigitte; Bastin, Georges 96 2007 Implicit Lyapunov control of finite dimensional Schrödinger equations. Zbl 1110.81063Beauchard, Karine; Coron, Jean Michel; Mirrahimi, Mazyar; Rouchon, Pierre 25 2007 Lyapunov stability analysis of networks of scalar conservation laws. Zbl 1165.35411Bastin, G.; Haut, B.; Coron, J.-M.; d’Andréa-Novel, B. 21 2007 Some open problems on the control of nonlinear partial differential equations. Zbl 1200.93018Coron, Jean-Michel 5 2007 Controllability of a quantum particle in a moving potential well. Zbl 1188.93017Beauchard, Karine; Coron, Jean-Michel 61 2006 Global steady-state stabilization and controllability of 1D semilinear wave equations. Zbl 1101.93039Coron, Jean-Michel; Trélat, Emmanuel 31 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 15 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. 46 2005 Exact boundary controllability of a nonlinear KdV equation with critical lengths. Zbl 1061.93054Coron, Jean-Michel; Crépeau, Emmanuelle 73 2004 Global steady-state controllability of one-dimensional semilinear heat equations. Zbl 1101.93011Coron, Jean-Michel; Trélat, Emmanuel 63 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. 73 2003 Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations. Zbl 1071.76012Coron, Jean-Michel 33 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 3 2002 Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach. Zbl 0982.93063d’Andréa-Novel, Brigitte; Coron, Jean-Michel 36 2000 On the null asymptotic stabilization of the two-dimensional incompressible Euler equations in a simply connected domain. Zbl 0954.76010Coron, Jean-Michel 34 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 47 1998 On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions. Zbl 0872.93040Coron, Jean-Michel 76 1996 On the controllability of 2-D incompressible perfect fluids. Zbl 0848.76013Coron, J.-M. 62 1996 Global exact controllability of the 2D Navier-Stokes equations on a manifold without boundary. Zbl 0938.93030Coron, Jean-Michel; Fursikov, Andrei V. 46 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 34 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 15 1994 ...and 40 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,327 Authors 64 Coron, Jean-Michel 41 Prieur, Christophe 39 Chtioui, Hichem 39 Krstić, Miroslav 26 Ben Ayed, Mohamed 25 Zuazua, Enrique 23 Gugat, Martin 22 Beauchard, Karine 22 Guerrero, Sergio 22 Pistoia, Angela 21 Ould Ahmedou, Mohameden 20 Rosier, Lionel 19 Trélat, Emmanuel 18 Abdelhedi, Wael 18 Brézis, Haïm 18 Clapp, Mónica 18 Leugering, Günter 18 Musso, Monica 18 Passaseo, Donato 18 Yan, Shusen 17 Chentouf, Boumediène 17 Glass, Olivier 16 Karafyllis, Iasson 16 Malchiodi, Andrea 16 Musina, Roberta 16 Sigalotti, Mario 15 Ervedoza, Sylvain 15 Fernández-Cara, Enrique 15 Lhachemi, Hugo 15 Lissy, Pierre 15 Peng, Shuangjie 14 Bahri, Abbas 14 Guo, Yuxia 14 Mironescu, Petru 13 Bethuel, Fabrice 13 El Mehdi, Khalil O. 13 Hardt, Robert M. 13 Herty, Michael Matthias 13 Keimer, Alexander 13 Li, YanYan 13 Lin, Fang Hua 13 Liu, Yungang 13 Pacella, Filomena 13 Wei, Juncheng 12 Aamo, Ole Morten 12 Auriol, Jean 12 Bastin, Georges 12 Cao, Daomin 12 Giaquinta, Mariano 12 Hayat, Amaury 12 Molle, Riccardo 12 Nguyen, Hoai-Minh 12 Rivière, Tristan 12 Shang, Peipei 11 Cerpa, Eduardo 11 Grossi, Massimo 11 Isobe, Takeshi 11 Zhang, Bingyu 10 Caldiroli, Paolo 10 Carreño, Nicolás 10 Deutscher, Joachim 10 Hammami, Mokhless 10 Hong, Minchun 10 Hu, Long 10 Jammazi, Chaker 10 Pflug, Lukas 10 Rey, Olivier 10 Schikorra, Armin 10 Vazquez, Rafael 9 Alves, Claudianor Oliveira 9 Boscain, Ugo 9 Hirano, Norimichi 9 Laurent, Camille 9 Le Balc’h, Kévin 9 Lin, Wei 9 Marx, Swann 9 Millot, Vincent 9 Münch, Arnaud 9 Polyakov, Andrey 9 Rouchon, Pierre 9 Salvatore, Addolorata 9 Struwe, Michael 9 Tanaka, Kazunaga 9 Wang, Chunhua 8 Alghanemi, Azeb 8 Cannarsa, Piermarco 8 Di Meglio, Florent 8 Dubljevic, Stevan S. 8 Gamara, Najoua 8 Jerrard, Robert Leon 8 Jiang, Zhong-Ping 8 Kenig, Carlos Eduardo 8 Li, Jian 8 Mazanti, Guilherme 8 Morancey, Morgan 8 Olive, Guillaume 8 Orlandi, Giandomenico 8 Pazoto, Ademir Fernando 8 Puel, Jean-Pierre 8 Sueur, Franck ...and 2,227 more Authors all top 5 Cited in 305 Serials 164 Automatica 136 Journal of Differential Equations 125 Systems & Control Letters 107 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 102 Calculus of Variations and Partial Differential Equations 87 Annales de l’Institut Henri Poincaré. 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Série VI 7 Vietnam Journal of Mathematics 7 Discrete and Continuous Dynamical Systems. Series S 7 Arabian Journal of Mathematics 7 Journal de l’École Polytechnique – Mathématiques 6 Applicable Analysis 6 Annals of Global Analysis and Geometry 6 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 6 Topological Methods in Nonlinear Analysis 6 Bulletin des Sciences Mathématiques 6 Mathematical Problems in Engineering 6 Journal of Systems Science and Complexity 6 Advances in Difference Equations 5 Journal of Computational Physics 5 Journal of Mathematical Physics 5 Nonlinearity 5 Annales de l’Institut Fourier 5 Memoirs of the American Mathematical Society 5 Numerische Mathematik 5 Applied Mathematics Letters 5 Acta Mathematica Sinica. English Series 5 Journal of Dynamical and Control Systems 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. 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