On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well;Sur la contrôlabilité en temps petit d'une particule quantique dans un puits de potentiel carré infini unidimensionnel mobile

Comptes Rendus Mathematique

Volumn 342, Issue 2, 2006, Pages 103-108

  Coron, Jean Michel ^a  

^a INSTITUT UNIVERSITAIRE DE FRANCE   (France)

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[No Author keywords available]

Indexed keywords

EID: 29944433591     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2005.11.004     Document Type: Article

References (14)

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2. K. Beauchard, J.-M. Coron, Controllability of a quantum particle in a moving potential well, J. Funct. Anal. (2005), in press
3. J.-M. Coron Global asymptotic stabilization for controllable systems without drift Math. Control Signals Systems 5 3 1992 295-312
4. J.-M. Coron On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions ESAIM Control Optim. Calc. Var. 1 1995/96 35-75
5. J.-M. Coron On the controllability of 2-D incompressible perfect fluids J. Math. Pures Appl. (9) 75 2 1996 155-188
6. J.-M. Coron Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations ESAIM Control Optim. Calc. Var. 8 2002 513-554
7. J.-M. Coron, Local controllability of a 1-D tank containing a fluid, in: XVIII Congreso de Ecuaciones Diferenciales y Aplicaciones, VIII Congreso de Matemática Aplicada, Tarragona, 15-19 septiembre, 2003
8. J.-M. Coron E. Crépeau Exact boundary controllability of a nonlinear KdV equation with critical lengths J. Eur. Math. Soc. (JEMS) 6 3 2004 367-398
9. J.-M. Coron A.V. Fursikov Global exact controllability of the 2D Navier-Stokes equations on a manifold without boundary Russian J. Math. Phys. 4 4 1996 429-448
10. A.V. Fursikov O.Yu. Imanuvilov Exact controllability of the Navier-Stokes and Boussinesq equations Russian Math. Surveys 54 1999 565-618
11. O. Glass Exact boundary controllability of 3-D Euler equation ESAIM Control Optim. Calc. Var. 5 2000 1-44
12. O. Glass On the controllability of the Vlasov-Poisson system J. Differential Equations 195 2 2003 332-379
13. T. Horsin On the controllability of the Burgers equation ESAIM Control Optim. Calc. Var. 3 1998 83-95
14. P. Rouchon, Control of a quantum particule in a moving potential well, in: 2nd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Seville, 2003