Controllability of quantum mechanical systems by root space decomposition, J. Math. Phys, vol.43, issue.5, pp.2051-2062, 2002. ,
Controllability of a quantum particle in a moving potential well, J. Funct. Anal, vol.232, issue.2, pp.328-389, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00825517
Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues, IEEE Trans. Automat. Control, vol.57, issue.8, pp.1970-1983, 2012. ,
Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum, J. Differential Equations, vol.256, issue.11, pp.3524-3551, 2014. ,
Weakly coupled systems in quantum control, IEEE Trans. Automat. Control, vol.58, issue.9, pp.2205-2216, 2013. ,
Local controllability of a 1-D Schrödinger equation, J. Math. Pures Appl, vol.84, issue.9, pp.851-956, 2005. ,
Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems, Comm. Math. Phys, vol.333, issue.3, pp.1225-1239, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00869706
Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control, J. Math. Pures Appl, vol.94, issue.9, pp.520-554, 2010. ,
Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary, SIAM J. Control Optim, vol.30, issue.5, pp.1024-1065, 1992. ,
An inverse problem for Schrödinger equations with discontinuous main coefficient, Appl. Anal, vol.87, pp.1145-1165, 2008. ,
Controllability for distributed bilinear systems, SIAM J. Control Optim, vol.20, issue.4, pp.575-597, 1982. ,
Contrôle de l'´ equation de Schrödinger en présence d'obstacles strictement convexes, Journées " ´ Equations aux Dérivées Partielles, 1991. ,
Periodic excitations of bilinear quantum systems, Automatica J. IFAC, vol.48, issue.9, pp.2040-2046, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00594895
Control and nonlinearity, Mathematical Surveys and Monographs, vol.136, 2007. ,
Bilinear quantum systems on compact graphs: well-posedness and global exact controllability, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01830297
Construction of the control function for the global exact controllability and further estimates, 2018. ,
Simultaneous global exact controllability in projection, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01481873
Wave propagation, observation and control in 1-d flexible multistructures, Mathématiques & Applications, vol.50 ,
, , 2006.
Integration of the equation of evolution in a Banach space, J. Math. Soc. Japan, vol.5, pp.208-234, 1953. ,
Quantum graphs. I. Some basic structures, Waves Random Media, vol.14, issue.1, pp.107-128, 2004. ,
Contrôle de l'´ equation de Schrödinger, J. Math. Pures Appl, vol.71, issue.9, pp.267-291, 1992. ,
Contrôle des systèmes distribués singuliers, of Méthodes Mathématiques de l'Informatique, vol.13 ,
, , 1983.
Optimal regularity, exact controllability and uniform stabilization of Schrödinger equations with Dirichlet control, Differential Integral Equations, vol.5, issue.3, pp.521-535, 1992. ,
Optimization by vector space methods, 1969. ,
Exact controllability for the Schrödinger equation, SIAM J. Control Optim, vol.32, issue.1, pp.24-34, 1994. ,
Lyapunov control of a quantum particle in a decaying potential, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.26, issue.5, pp.1743-1765, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00793568
Simultaneous global exact controllability of an arbitrary number of 1D bilinear Schrödinger equations, J. Math. Pures Appl, vol.103, issue.9, pp.228-254, 2015. ,
Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights, Inverse Problems, vol.24, issue.1, p.15017, 2008. ,
Simultaneous local exact controllability of 1D bilinear Schrödinger equations, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.31, issue.3, pp.501-529, 2014. ,
Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.27, issue.3, pp.901-915, 2010. ,
Controllability of invariant systems on Lie groups and homogeneous spaces, J. Math. Sci, vol.100, issue.4, pp.2355-2427, 2000. ,
On the controllability of bilinear quantum systems. In Mathematical models and methods for ab initio quantum chemistry, Lecture Notes in Chem, vol.74, pp.75-92, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00536518
An introduction to nonharmonic Fourier series, Pure and Applied Mathematics, vol.93, 1980. ,