Livre
Articles de recherche
Articles de synthèse
Articles de vulgarisation


Livre

Control and nonlinearity


Control and nonlinearity, Mathematical Surveys and Monographs, 136, 2007, xiv+426 pp. Livre, corrections.
La société ``American Mathematical Society'' possède le copyright de ce livre. L'AMS m'a autorisé à mettre sur ma page web le fichier de ce livre.

Articles de recherche
  1. G. Bastin et J.-M. Coron,  On boundary feedback stabilization of non-uniform linear 2 × 2 hyperbolic systems over a bounded interval, Systems and Control Letters,  60, 2011, p. 900-906. Résumé, article.
  2. J.-M. Coron et Z. Wang, Controllability for a scalar conservation law with nonlocal velocity, J. Differential Equations, 252, 2012, p. 181–201. Résumé, article.
  3. J.-M. Coron,  S. Guerrero et L. Rosier, Null controllability of a parabolic system with a cubic coupling term, SIAM J. Control and Optimization, 48 (8), 2010, p. 5629-5653. Résumé, article.
  4. J.-M. Coron, M. Kawski et  Z. Wang, Analysis of a conservation law modeling a highly re-entrant manufacturing system, Discrete Contin. Dyn. Syst.-B, 14 (4), 2010, p. 1337-1359. Résumé, article. 
  5. K. Beauchard, J.-M. Coron and P. Rouchon, Controllability issues for continuous-spectrum systems and ensemble controllability of Bloch equations, Commun. Math. Phys., 296 (2), 2010, p. 525-557. Résumé, article, bibtex.
  6. J.-M.Coron, O. Glass, Z. Wang, Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed, SIAM J. Control and Optimization, 48 (5), 2009, p. 3105-3122. Résumé, article, bibtex.
  7. J.-M.Coron, A. Grigoriu, C. Lefter et G. Turinici, Quantum control design by Lyapunov trajectory tracking for dipole and polarizability coupling, New J. Phys. 11, 2009, 105034. Résumé, article. 
  8. J.-M.Coron, S. Ervedoza and O. Glass,  Uniform observability estimates for the 1-D discretized wave equation and the random choice method,  C. R. Acad. Sc. Paris, Ser. I, 347 (9-10), 2009, p. 505-510. Résumé, article, bibtex.
  9. J.-M.Coron and S. Guerrero, Local null controllability of the two-dimensional Navier-Stokes system in the torus with a control force having a vanishing component, J. Math. Pures et Appliquées, 92 (9), 2009,  p. 528-545. Résumé, article, bibtex. 
  10. G. Bastin, J-M. Coron et B. d'Andréa-Novel, On Lyapunov stability of linearised Saint-Venant equations for a sloping channel,  Networks and Heterogeneous Media,  4 (2), 2009,  p. 177-187. Résumé, article, bibtex. 
  11. J.-M.Coron et S. Guerrero, Null controllability of the N-dimensional Stokes system with N-1 scalar controls, J. of Differential Equations, 246 (7), 2009, p. 2908-2921. Résumé, article, bibtex.
  12. R. Vázquez, E. Trélat et J.-M.Coron, Control for fast and stable laminar-to-high-Reynolds-numbers transfer in a 2D Navier-Stokes channel flow, Discrete Contin. Dyn. Syst.-B. 10 (4), 2008, p. 925–956. Résumé, article, bibtex.
  13. V. Dos Santos, G. Bastin, J.-M. Coron, B. d’Andréa-Novel, Boundary control with integral action for hyperbolic systems of conservation laws: Stability and experiments, Automatica 44 (5), 2008, p. 1310–1318. Résumé, article, bibtex.
  14. J.-M.Coron, G. Bastin et B. d'Andréa-Novel, Dissipative boundary conditions for one dimensional nonlinear hyperbolic systems, SIAM J. Control and Optimization, 47  (3), 2008, p. 1460-1498. Résumé, article, bibtex.
  15. K. Beauchard, J.-M. Coron, M. Mirrahimi, P. Rouchon, Implicit Lyapunov control of finite dimensional Schrödinger equations, Systems & Control Letters, 56 (5), 2007, p. 388 – 395. Résumé, article, bibtex. 
  16. G. Bastin, B. Haut, J-M. Coron and B. d'Andréa-Novel, Lyapunov stability analysis of networks of scalar conservation laws, Networks and Heterogeneous Media, 2 (4),  2007, p. 749-757. Résumé, article, bibtex.
  17. J.-M.Coron, B. d'Andréa-Novel et G. Bastin, A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws, IEEE Transactions on Automatic Control, 52 (1), 2007, p. 2-11. Résumé, article, bibtex.
  18. J.-M. Coron, E. Trélat,  Global steady-state stabilization and controllability of 1D semilinear wave equations, Communications in Contemporary Mathematics, 8 (4), 2006, p. 535-567. Résumé,  article, bibtex.
  19. J.-M. Coron,  On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well, C. R. Acad. Sciences Paris, Ser. I,  342 (2), 2006, p. 103-108. Résumé, article, bibtex.
  20. K. Beauchard et J.-M. Coron, Controllability of a quantum particle in a moving potential well, Journal of Functional Analysis, 232 (2), 2006, p. 328-389. Abtract, article, bibtex.
  21. J.-M. Coron et S. Guerrero,  Singular optimal control: A linear 1-D parabolic-hyperbolic example, Asymptotic Analysis, 44 (3,4), 2005, p. 237-257. Abtract, article, bibtex.
  22. Y. Chitour, J.-M. Coron et M. Garavello, On conditions that prevent steady--state controllability of certain linear partial differential equations, Discrete Contin. Dyn. Syst.-A, 14 (4), 2006, p. 643-672. Résumé, article, bibtex.
  23. J.-M. Coron, E. Trélat,  Global steady-state controllability of 1-D semilinear heat equations, SIAM J. Control and Optimization, 43 (2), 2004, p. 549-569. Résumé,  article, bibtex.
  24. J.-M. Coron, E. Crépeau, Exact boundary controllability of a nonlinear KdV equation with critical lengths, J. European Mathematical Society, 6 (3), 2004 p. 367-398.  Résumé, article, bibtex.
  25. J. de Halleux, C. Prieur, J.-M. Coron, B. d'Andréa-Novel et G. Bastin, Boundary feedback control in networks of open channels, Automatica, 39, 2003, p. 1365-1373. Résumé, article, bibtex, animation.
  26. J.-M. Coron, Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations, ESAIM: Control, Optimisation and Calculus of Variations,  8, 2002, p. 513-554. Résumé, article, bibtex.
  27. B. d'Andréa-Novel et J.-M. Coron, Stabilization of an overhead crane with variable length flexible cable, Computational and Applied Mathematics, 21 (1), 2002, p.101-134. Résumé, article, bibtex.
  28. B. d'Andréa-Novel, H. Chou, J.-M. Coron, M. Ellouze, E. Fenaux, M. Pengov, F. Zarka, An optimal control methodology for braking in corner with stability, ECC 2001, article.
  29. J.-M. Coron, B. d'Andréa-Novel et G. Bastin, A Lyapunov approach to control irrigation canals modeled by Saint-Venant equations, ECC1999.
  30. J.-M. Coron, On the null asymptotic stabilization of the 2-D incompressible Euler equation in a simply connected domain, SIAM J. Control and Optimization, 37 (6), 1999, p. 1874-1896. Résumé, article, bibtex.
  31. B. d'Andréa-Novel et  J.-M. Coron, Exponential stabilization of an overhead crane with flexible cable via the cascade approach, Automatica, 2000, p. 587-593. Article.
  32. J.-M. Coron et B. d'Andréa-Novel, Stabilization of a rotating body-beam without damping, IEEE Transactions on Automatic Control, 43 (5), 1998, p. 608-618. Résumé, article, bibtex.
  33. J.-M. Coron et A. Fursikov, Global exact controllability of the 2D Navier-Stokes equations on a manifold without boundary, Russian Journal of Mathematical Physics, 4 (4), 1996, p. 429-448. Résumé, article, bibtex.
  34. J.-M. Coron, On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions, ESAIM: Control, Optimisation and Calculus of Variations, 1, 1996, p. 35-75. Résumé, article, bibtex.
  35. J.-M. Coron et  E.-Y. Keraï,  Explicit feedbacks stabilizing the attitude of a rigid spacecraft with two control torques, Automatica, 32 (5), 1996, p. 669-677. Résumé, Article, bibtex.
  36. J.-M. Coron, On the controllability of the 2-D incompressible perfect fluids,   J. Math. Pures et Appliquées, 75 (2), 1996, p. 155-188. Résumé, article, bibtex.
  37. J.-M. Coron, On the stabilization by output feedback law of controllable and observable systems, Math. Control Signals Systems, 7 (3), 1994, p. 187-216. Résumé,  article, bibtex.
  38. J.-M. Coron, Stabilization in finite time of locally controllable systems by means of continuous time-varying feedback laws, SIAM J. Control and Optimization, 33 (3), 1995, p. 804-833. Résumé, article, bibtex.
  39. J.-M. Coron et L. Rosier, A relation between continuous time-varying and discontinuous feedback stabilization, J. Math. Systems, Estimations, and Control, 4, 1994 (1), p. 67-84. Résumé, article, bibtex.
  40. J.-M. Coron, Linearized controlled systems and applications to smooth stabilization, SIAM J. Control and Optimization, 32 (2), 1994, p. 358-386. Article, bibtex.
  41. J.-M. Coron,  Relations entre commandabilité et stabilisations non linéaires,  in: Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. XI (Paris, 1989--1991), Pitman Res. Notes Math. Ser.,  299,  1994, p. 68-86. Article, bibtex.
  42. J.-M. Coron, Contrôlabilité exacte frontière de l'équation d'Euler des fluides parfaits incompressibles bidimensionnels, C. R. Acad. Sc. Paris, 317, 1993, p. 271-276. Bibtex.
  43. J.-M. Coron, Links between local controllability and local continuous stabilization, IFAC Nonlinear Control Systems Design, ed. M. Fliess, 1992 p.  165-171. Résumé, article, bibtex.
  44. J.-M. Coron et J.-B. Pomet, A remark on the design of time-varying stabilizing feedback laws for controllable systems without drift, IFAC Nonlinear Control Systems Design, ed. M. Fliess, 1992, p. 397-401. Résumé, article, bibtex.
  45. J.-M. Coron et  B. d'Andréa-Novel, Smooth stabilizing time-varying control laws for a class of nonlinear systems. Applications to mobile robots, IFAC Nonlinear Control Systems Design, ed. M. Fliess,1992, p. 413-418. Article.
  46. J.-M. Coron, Global asymptotic stabilization for controllable systems without drift, Math. Control Signals Systems, 5 (3), 1992, p. 295-312. Résumé, article, bibtex.
  47. J.-M. Coron et L. Praly, Adding an integrator for the stabilization problem, Systems and Control Letters, 17, 1991, p. 89-104. Article,  bibtex.
  48. F. Béthuel, J.-M. Coron, J.-M. Ghidaglia and A. Soyeur, Heat flows and relaxed energies for harmonic maps, Progress in Nonlinear Differential Equations, Nonlinear Diffusion Equations and Their Equilibrium States, eds N.G. Lloyd, W.M. Ni, L.A. Peletier, J. Serrin, 3,1992, p. 99-109.
  49. F. Béthuel, J.-M. Coron, F. Demengel and  F. Hélein, A cohomological criterion for density of smooth maps in Sobolev spaces
    between two manifolds, Nematics, eds J.-M. Coron, J.-M. Ghidaglia and F. Hélein, NATO ASI Series C, 332, 1991, p. 15-24.
  50. L. Praly, B. d'Andréa-Novel et J.-M. Coron, Lyapunov design of stabilizing controllers for cascaded systems, IEEE, Transactions on Automatic Control, 36, 1991, p. 1177-1180.
  51. J.-M. Coron, A necessary condition for feedback stabilization, Systems and Control Letters, 14 (3), 1990, p. 227-232. Bibtex.
  52. F. Béthuel, J.-M. Coron et H. Brezis, Relaxed energy for harmonic maps, in : Variational Methods, eds H. Berestycki, J.-M. Coron et I. Ekeland., PNLDE 4, Birhäuser, 1990, p. 37-52.
  53. J.-M. Coron, Nonuniqueness for the heat flow of harmonic maps, Ann. Inst. Henri Poincaré, Analyse Non Linéaire, 7, 1990, p. 335-344. Article.
  54. J.-M. Coron et J.-M. Ghidaglia, Explosion en temps fini pour le flot des applications harmoniques, C.R. Acad. Sc. Paris,
    308, 1989, p. 339-344.
  55. J.-M. Coron et F. Hélein, Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry, Compositio, 69, 1989, p.175-228. Article.
  56. J.-M. Coron et R. Gulliver, Minimizing p-harmonic into spheres, J. für die Reine und Angewandte Math., 401, 1989, p. 82-100.
  57. H. Brezis,  J.-M. Coron et E. Lieb, Harmonic maps with defects, Comm. Math. Phys., 107, 1986, p. 649-705. Article.
  58. H. Brezis,  J.-M. Coron et E. Lieb, Estimations d'énergie pour les applications de R^3 à valeurs dansS^2, C.R. Acad..Sc. Paris, 203, série I, 1986, p. 207-210.
  59. A. Bahri et J.-M. Coron, The scalar curvature problem on the standard three-dimensional sphere, J. Funct. Anal., 95, 1991, p. 106-172. Article.
  60. A. Bahri et J.-M. Coron, On a nonlinear elliptic equation involving the critical Sobolev exponent: the effect of the topology of the domain, Comm. Pure Appl. Math., 41, 1988, p. 253-294. Article.
  61. A. Bahri et J.-M. Coron, Une théorie des points critiques à l'infini pour l'équation de Yamabe et le problème de Kazdan-Warner, C.R. Acad. Sc. Paris, 300, série I, 1985, p. 513-516. Article.
  62. A. Bahri et J.-M. Coron, Sur une équation elliptique non linéaire avec l'exposant critique de Sobolev, C.R. Acad. Sc. Paris, 301, 1985, p. 345-348.
  63. H. Brezis et  J.-M. Coron, Convergence of solutions of H-systems or how to blow bubbles, Arch. Rational Mech. Anal., 89, 1985, p. 21-56.
  64. H. Brezis et  J.-M. Coron, Convergence de solutions de H-systèmes et applications aux surfaces à courbure moyenne constante, C.R. Acad. Sc. Paris, 298, série I, 1984, p. 389-392.
  65. J.-M. Coron, Topologie et cas limite des injections de Sobolev, C.R. Acad. Sc. Paris, 299, série I, 1984, p. 209-212. Article.
  66. V. Benci et J.-M. Coron, Dirichlet problem for harmonic maps from the disk into the Euclidian n-sphere, Ann. Inst. Henri Poincaré, Analyse Non Linéaire, 2, 1985, p. 119-141. Article.
  67. H. Brezis et  J.-M. Coron, Large solutions for harmonic maps in two dimensions, Comm. Math. Phys., 92, 1983, p. 203-215.
  68. J.-M. Coron, The continuity of the rearrangement in W^{1,p}(R), Ann. Scuola Norm. Sup. Pisa, 11, 1984, p. 57-85. Article.
  69. H. Brezis et  J.-M. Coron, Multiple solutions of H-systems and Rellich's conjecture, Comm. Pure Appl. Math., 37, 1984, p. 149-187.
  70. H. Brezis et  J.-M. Coron, Sur la conjecture de Rellich pour les surfaces à courbure moyenne prescrite, C.R. Acad. Sc. Paris, 295, série I, 1982, p. 615-618.
  71. J.-M. Coron et P.-L. Lions, A remark on one dimensional controlled diffusion processes, Stochastics, 18, 1986, p. 73-81.
  72. J.-M. Coron, On a problem of H. Brézis and F. Browder concerning Sobolev spaces, Indiana Univ. Math. J., 33, 1984, p. 179-183.
  73. J.-M. Coron, Periodic solutions of a nonlinear wave equation without assumption of monotonicity, Math. Ann., 262, 1983, p. 273-285. Article.
  74. J.-M. Coron, Période minimale pour une corde vibrante de longueur infinie, C.R. Acad. Sc. Paris, 294, Série I, 1982, p. 127-129.
  75. J.-M. Coron, Formules de Trotter pour une équation d'évolution quasilinéaire du 1er ordre, J. Math. Pures Appl., 61, 1982, p. 91-112.
  76. J.-M. Coron, Solution périodique d'une équation d'évolution, Proc. Royal Soc. Edinburgh, 89A, 1981, p. 175-180.
  77. J.-M. Coron, Solutions périodiques non triviales d'une équation des ondes, Comm. Partial Differential Equations, 6, 1981, p. 829-848.
  78. H. Brezis et  J.-M. Coron, Periodic solutions of nonlinear wave equations and Hamiltonian systems, Amer. J. Math., 103, 1981, p. 559-570.
  79. H. Brezis, J.-M. Coron et L. Nirenberg, Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz, Comm. Pure Appl. Math., 33, 1980, p. 667-689.
  80. J.-M. Coron, Image de la somme de deux sous-différentiels, Bolletino U.M.I., 17A, 1980, p. 161-166.
  81. J.-M. Coron, Résolution de l'équation Au + Bu = f où A est linéaire auto-adjoint et B est un opérateur potentiel non linéaire, C.R. Acad. Sc. Paris, 288, Série A, 1979, p. 805-808, et Ann. Fac. Sc. Toulouse, 1, 1979, p. 215-234. Article.


Articles de synthèse
  1. J.-M. Coron, On the controllability of nonlinear partial differential equations, Proceedings of the International Congress of Mathematicians Hyderabad, India, World Scientific Publishing Co Pte Ltd, 2010,Vol. I: Plenary Lectures and Ceremonies, p. 239-264. Résumé, Article. (Voir aussi les diapositives de l'exposé.)
  2. J.-M. Coron, Control of partial differential equations,  Scholarpedia. Article.
  3. J.-M. Coron, On the stabilization of some nonlinear control systems: results, tools, and applications,  NATO advanced Study Institute, Nonlinear analysis, differential equations, and control, eds F.H. Clarke et R.J. Stern, Kluwer Academic Publishers, Hollande, 1999, p. 307-367. Article.
  4. J.-M. Coron, Some open problems in control theory, in Differential Geometry and Control, eds G. Ferreyra, R. Gardner, H. Hermes et H. Sussmann, Proceedings of Symposia in Pure Mathematics, volume 64, American Mathematical society, Providence, 1998, p. 149-162.
  5. J.-M. Coron, L. Praly et A. Teel, Feedback stabilization of nonlinear systems:  sufficient conditions and Lyapunov and input-output techniques, in Trends in Control, ed. A. Isidori, Springer-Verlag, Berlin Heidelberg New York, 1995, p. 293-348. Bibtex.
  6. J.-M. Coron, Stabilizing time-varying feedback, Plenary conference, IFAC Nonlinear Control Systems Design, 1995.
  7. Return method: Application to controllability, Séminaire Équations aux Dérivées Partielles, École polytechnique, Centre de Mathématiques, 1992-1993, exposé 14.
  8. J.-M. Coron, Stabilization  of controllable systems, Sub-Riemannian Geometry, A. Bellaïche et J.-J. Risler éd., Progress in Math., 144, Birkhäuser, Bäsel Berlin Boston, 1996, p. 365-388.
  9. J.-M. Coron, Relations entre commandabilité et stabilisations nonlinéaires, Nonlinear partial differential equations and their applications vol. 11, eds H. Brezis et J.-L. Lions, Research notes in math. series, 299, Pitman, Boston, 1994, p. 68-86.
  10. J.-M. Coron,  Harmonic maps with values into spheres, Proceedings of the International Congress of Mathematicians, Kyoto 1990, The Mathematical Society of Japan, Springer Verlag, Tokyo Berlin Heidelberg New-York, 2, 1991, p. 1123-1135.
Articles ou conférences de vulgarisation
  1. J.-M. Coron, La régulation des systèmes complexes depuis Maxwell, dans la série de conférences ``Un texte, un mathématicien'', Bibliothèque nationale de France, Paris le 11 mai 2011. Diapositives.
  2. J.-M. Coron, B. d'Andréa-Novel et G. Bastin,  Penser globalement, agir localement,  La Recherche, 417, 2008, p. 82-83.  Article, animation. Revu et mis à jour dans ``Les dossiers de La Recherche'', 37, 2009, p. 38-39.
  3. J.-M. Coron et E. Trélat,  Tout est sous contrôle, Matapli 83, 2007, p. 59-73. Article. 
  4. J.-M. Coron, Quelques résultats sur la commandabilité et la stabilisation des systèmes non linéaires, Jounées X-UPS, 1999. Article.