L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms, 1975.

B. Bonnard, O. Cots, N. Shcherbakova, and D. Sugny, The energy minimization problem for two-level dissipative quantum systems, Journal of Mathematical Physics, vol.51, issue.9, p.92705, 2010.
DOI : 10.1063/1.3479390

B. Bonnard and D. Sugny, Optimal Control with Applications in Space and Quantum Dynamics, AIMS, 2012.

U. Boscain, T. Chambrion, and G. Charlot, Nonisotropic 3-level Quantum Systems: Complete Solutions for Minimum Time and Minimal Energy, Discrete Contin. Dyn. Syst. Ser. B, vol.5, pp.957-990, 2005.

U. Boscain, G. Charlot, J. Gauthier, S. Guérin, and H. Jauslin, Optimal control in laser-induced population transfer for two- and three-level quantum systems, Journal of Mathematical Physics, vol.43, issue.5, p.2107, 2002.
DOI : 10.1063/1.1465516

U. Boscain and P. Mason, Time minimal trajectories for a spin 1???2 particle in a magnetic field, Journal of Mathematical Physics, vol.47, issue.6, p.62101, 2006.
DOI : 10.1063/1.2203236

U. Boscain, B. , and P. , Optimal Synthesis for Control Systems on 2 ? D Manifolds, p.43, 2004.

A. Bressan, The Generic Local Time-Optimal Stabilizing Controls in Dimension 3, SIAM Journal on Control and Optimization, vol.24, issue.2, pp.77-190, 1986.
DOI : 10.1137/0324010

D. and M. Dahleh, Optimal control of two-level quantum systems, IEEE Trans. on Automatic Control, vol.46, pp.866-876, 2001.

N. Khaneja, R. Brockett, and S. J. Glaser, Time optimal control in spin systems, Physical Review A, vol.63, issue.3
DOI : 10.1103/PhysRevA.63.032308

M. Lapert, Y. Zhang, S. J. Glaser, and D. Sugny, Towards the time-optimal control of dissipative spin-1/2 particles in nuclear magnetic resonance, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.44, issue.15, p.154014, 2011.
DOI : 10.1088/0953-4075/44/15/154014

URL : https://hal.archives-ouvertes.fr/hal-00642391

P. Mason, R. Salmoni, Y. Boscain, and . Chitour, Limit Time Optimal Synthesis for a Control-Affine System on $S^2$, SIAM Journal on Control and Optimization, vol.47, issue.1, pp.111-143, 2008.
DOI : 10.1137/060675988

B. Piccoli and H. J. Sussmann, Regular Synthesis and Sufficiency Conditions for Optimality, SIAM Journal on Control and Optimization, vol.39, issue.2, pp.359-410, 2000.
DOI : 10.1137/S0363012999322031

H. Sussmann, The Structure of Time-Optimal Trajectories for Single-Input Systems in the Plane: The $C^\infty $ Nonsingular Case, SIAM Journal on Control and Optimization, vol.25, issue.2, pp.433-465, 1987.
DOI : 10.1137/0325025

H. Sussmann, Regular Synthesis for Time-Optimal Control of Single-Input Real Analytic Systems in the Plane, SIAM Journal on Control and Optimization, vol.25, issue.5, pp.1145-1162, 1987.
DOI : 10.1137/0325062