K. Beauchard and C. Laurent, Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control, JMPA, vol.94, issue.95, pp.520-554, 2010.

K. Beauchard and F. Marbach, Quadratic obstructions to small-time local controllability for scalar-input differential systems. ArXiv e-prints, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01526290

K. Beauchard and M. Morancey, Local controllability of 1D Schr??dinger equations with bilinear control and minimal time, Mathematical Control and Related Fields, vol.4, issue.2, pp.125-160, 2014.
DOI : 10.3934/mcrf.2014.4.125

J. Coron and E. Crépeau, Exact boundary controllability of a nonlinear KdV equation with critical lengths, Journal of the European Mathematical Society, vol.6, issue.3, pp.367-398, 2004.
DOI : 10.4171/JEMS/13

URL : https://hal.archives-ouvertes.fr/inria-00077038

H. Fattorini and D. Russell, Exact controllability theorems for linear parabolic equations in one space dimension, Archive for Rational Mechanics and Analysis, vol.43, issue.4, pp.272-292, 1971.
DOI : 10.1007/BF00250466

R. Hermann, On the Accessibility Problem in Control Theory, Internat. Sympos. Nonlinear Differential Equations and Nonlinear Mechanics, pp.325-332, 1963.
DOI : 10.1016/B978-0-12-395651-4.50035-0

R. Kalman, Y. Ho, and K. Narendra, Controllability of linear dynamical systems, Contributions to Differential Equations, vol.1, pp.189-213, 1963.

M. Kawski, High-order small-time local controllability, Nonlinear controllability and optimal control, pp.431-467, 1990.

B. Lee and L. Markus, Foundations of optimal control theory, 1986.

F. Marbach, An obstruction to small time local null controllability for a viscous Burgers' equation. ArXiv e-prints, 2015.
DOI : 10.1016/j.matpur.2013.11.013

URL : https://hal.archives-ouvertes.fr/hal-01229493

L. Nirenberg, On Elliptic Partial Differential Equations, Ann. Scuola Norm. Sup. Pisa, vol.13, issue.3, pp.115-162, 1959.
DOI : 10.1007/978-3-642-10926-3_1

L. Rosier, Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain, ESAIM: Control, Optimisation and Calculus of Variations, vol.2, pp.33-55, 1997.
DOI : 10.1051/cocv:1997102

H. Sussmann, Lie Brackets and Local Controllability: A Sufficient Condition for Scalar-Input Systems, SIAM Journal on Control and Optimization, vol.21, issue.5, pp.686-713, 1983.
DOI : 10.1137/0321042

R. Torres, Boundedness results for operators with singular kernels on distribution spaces, Memoirs of the American Mathematical Society, vol.90, issue.442, p.172, 1991.
DOI : 10.1090/memo/0442

A. Youssfi, Regularity properties of singular integral operators, Studia Math, vol.119, issue.3, pp.199-217, 1996.