Y. Amirat and A. Münch, Asymptotic analysis of an advection-diffusion equation and application to boundary controllability, Asymptot. Anal, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01654390

F. Ammar-khodja, G. Geymonat, and A. Münch, On the exact controllability of a system of mixed order with essential spectrum, C. R. Math. Acad. Sci, vol.346, pp.629-634, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00482879

N. Cîndea, E. Fernández-cara, and A. Münch, Numerical controllability of the wave equation through primal methods and Carleman estimates, ESAIM Control Optim. Calc. Var, vol.19, pp.1076-1108, 2013.

N. Cîndea, S. Micu, and I. Roven?a, Boundary controllability for finite-differences semidiscretizations of a clamped beam equation, SIAM J. Control Optim, vol.55, pp.785-817, 2017.

N. Cîndea and A. Münch, A mixed formulation for the direct approximation of the control of minimal L 2 -norm for linear type wave equations, Calcolo, vol.52, pp.245-288, 2015.

J. Coron and S. Guerrero, Singular optimal control: a linear 1-D parabolic-hyperbolic example, Asymptot. Anal, vol.44, pp.237-257, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00018367

B. Dehman and G. Lebeau, Analysis of the HUM control operator and exact controllability for semilinear waves in uniform time, SIAM J. Control Optim, vol.48, pp.521-550, 2009.

M. G. Dmitriev and G. A. Kurina, Singular perturbations in control problems, Avtomat. i Telemekh, pp.3-51, 2006.

W. Eckhaus, Asymptotic analysis of singular perturbations, Mathematics and its Applications, vol.9, 1979.

S. Ervedoza and E. Zuazua, A systematic method for building smooth controls for smooth data, Discrete Contin. Dyn. Syst. Ser. B, vol.14, pp.1375-1401, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00629596

R. Glowinski, J. Lions, and J. He, Exact and approximate controllability for distributed parameter systems, of Encyclopedia of Mathematics and its Applications, vol.117, 2008.

J. Kevorkian and J. D. Cole, Multiple scale and singular perturbation methods, Applied Mathematical Sciences, vol.114, 1996.

J. Lions, Perturbations singulières dans les problèmes aux limites et en contrôle optimal, Lecture Notes in Mathematics, vol.323, 1973.

, Contrôlabilité exacte et perturbations singulières. II. La méthode de dualité, in Applications of multiple scaling in mechanics, Rech. Math. Appl, vol.4, pp.223-237, 1986.

, Exact controllability and singular perturbations, Wave motion: theory, modelling, and computation, vol.7, pp.217-247, 1986.

, Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués, Masson, vol.2, 1988.

A. López and E. Zuazua, Null controllability of the 1-d heat equation as limit of the controllability of dissipative wave equations, C. R. Acad. Sci. Paris Sér. I Math, vol.327, pp.753-758, 1998.

F. Marbach, Small time global null controllability for a viscous Burgers' equation despite the presence of a boundary layer, J. Math. Pures Appl, vol.102, issue.9, pp.364-384, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00776508

J. Miklowitz, Flexural waves in beams according to the more exact theory of bending, 1953.

A. Münch, A uniformly controllable and implicit scheme for the 1-D wave equation, M2AN Math. Model. Numer. Anal, vol.39, pp.377-418, 2005.

, Null boundary controllability of a circular elastic arch, IMA J. Math. Control Inform, vol.27, pp.119-144, 2010.

F. Rellich, Perturbation theory of eigenvalue problems, 1969.