P. Albano and D. Tataru, Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system, Electron, J. Differ. Equ, issue.22, pp.1-15, 2000.

L. Auslander and R. E. Mackenzie, Introduction to differentiable manifolds, 2009.

E. Cerpa and E. Crépeau, On the controllability of the improved Boussinesq equation, SIAM J. Control Optim, vol.56, issue.4, pp.3035-3049, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01661174

F. Chaves-silva, L. Rosier, and E. Zuazua, Null controllability of a system of viscoelasticity with a moving control, J. Math. Pures Appl, vol.101, issue.2, pp.198-222, 2014.

F. Chaves-silva, X. Zhang, and E. Zuazua, Controllability of evolution equations with memory, SIAM J. Control Optim, vol.55, issue.4, pp.2437-2459, 2017.

A. Fursikov and O. Imanuvilov, Controllability of Evolution Equations, vol.34, 1996.

P. Gao, Null controllability of the viscous Camassa-Holm equation with moving control, Proc. Indian Acad. Sci. Math. Sci, vol.126, issue.1, pp.99-108, 2016.

M. Golubitsky and V. Guillemin, Stable mappings and their singularities, Graduate Texts in Mathematics, vol.14, 1973.
DOI : 10.1007/978-1-4615-7904-5

URL : http://dml.cz/bitstream/handle/10338.dmlcz/127118/ArchMathRetro_044-2008-5_13.pdf

G. H. Hardy and E. M. Wright, , 1979.

S. Lang, Introduction to Diophantine approximations, 1995.
DOI : 10.1007/978-1-4612-4220-8

P. Martin, L. Rosier, and P. Rouchon, Null controllability of the structurally damped wave equation with moving control, SIAM J. Control Optim, vol.51, issue.1, pp.660-684, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00829857

S. Micu, On the controllability of the linearized Benjamin-Bona-Mahony equation, SIAM J. Control Optim, vol.39, issue.6, pp.1766-1696, 2001.

A. Pazy, Semigroups of linear operators and applications to partial differential equations, Applied Mathematical Sciences, vol.44, 1983.
DOI : 10.1007/978-1-4612-5561-1

L. Rosier and P. Rouchon, On the controllability of a wave equation with structural damping, Int. J. Tomogr. Stat, vol.5, issue.W07, pp.79-84, 2007.

L. Rosier and B. Zhang, Null controllability of the complex Ginzburg-Landeau equation, vol.26, pp.649-673, 2009.

L. Rosier and B. Zhang, Unique continuation property and control for the Benjamin-Bona-Mahony equation on a periodic domain, J. Differential Equations, vol.254, issue.1, pp.141-178, 2013.

L. De-teresa, Insensitizing controls for a semilinear heat equation, Comm. Partial Differential Equations, vol.25, issue.1-2, pp.39-72, 2000.

U. Departamento-de-matemática, A. Santa-maría, -. España-1680, and C. Valparaíso,