Dispersive effects for the Schrödinger equation on a tadpole graph, Journal of Mathematical Analysis and Applications, vol.448, pp.262-280, 2017. ,
Dispersive effects and high frequency behaviour for the Schrödinger equation in star-shaped networks, Port. Math, vol.72, pp.309-355, 2015. ,
Controllability of quantum mechanical systems by root space decomposition, J. Math. Phys, vol.43, pp.2051-2062, 2002. ,
Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues, IEEE Trans. Automat. Control, vol.57, pp.1970-1983, 2012. ,
Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum, J. Differential Equations, vol.256, pp.3524-3551, 2014. ,
Weakly coupled systems in quantum control, IEEE Trans. Automat. Control, vol.58, pp.2205-2216, 2013. ,
Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems, Comm. Math. Phys, vol.333, pp.1225-1239, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00869706
Interpolation spaces. An introduction, Grundlehren der Mathematischen Wissenschaften, 1976. ,
Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control, J. Math. Pures Appl, vol.94, pp.520-554, 2010. ,
Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary, SIAM J. Control Optim, vol.30, pp.1024-1065, 1992. ,
Controllability for distributed bilinear systems, SIAM J. Control Optim, vol.20, pp.575-597, 1982. ,
Periodic excitations of bilinear quantum systems, Automatica J. IFAC, vol.48, pp.2040-2046, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00594895
, Control and nonlinearity, vol.136, 2007.
Global exact controllability of bilinear quantum systems on compact graphs and energetic controllability, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01875685
Bilinear quantum systems on compact graphs: well-posedness and global exact controllability, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01830297
Controllability of bilinear quantum systems in explicit times via explicit control fields, International Journal of Control, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01520173
Simultaneous global exact controllability in projection of infinite 1D bilinear Schrödinger equations, Dynamics of Partial Differential Equations, vol.17, issue.3, pp.275-306, 2020. ,
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, Special section on quantum graphs, Waves Random Media, vol.14, pp.107-128, 2004. ,
, Contrôle des systèmes distribués singuliers, vol.13, 1983.
Optimization by vector space methods, 1969. ,
Lyapunov control of a quantum particle in a decaying potential, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.26, 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, pp.228-254, 2015. ,
Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights, Inverse Problems, vol.24, p.18, 2008. ,
Simultaneous local exact controllability of 1D bilinear Schrödinger equations, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.31, 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, pp.901-915, 2010. ,
Controllability of invariant systems on Lie groups and homogeneous spaces. Dynamical systems, 8, J. Math. Sci, vol.100, pp.2355-2427, 2000. ,
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