N. Burq and M. Zworski, Geometric control in the presence of a black box, Journal of the American Mathematical Society, vol.17, issue.02, pp.443-471, 2004.
DOI : 10.1090/S0894-0347-04-00452-7

N. Burq and M. Zworski, Bouncing Ball Modes and Quantum Chaos, SIAM Review, vol.47, issue.1, pp.43-49, 2005.
DOI : 10.1137/S0036144503429248

URL : http://arxiv.org/pdf/math/0306278

N. Burq and M. Zworski, Control For Schr??dinger operators on tori, Mathematical Research Letters, vol.19, issue.2, pp.309-324, 2012.
DOI : 10.4310/MRL.2012.v19.n2.a4

T. Duyckaerts and L. Miller, Resolvent conditions for the control of parabolic equations, Journal of Functional Analysis, vol.263, issue.11, pp.3641-3673, 2012.
DOI : 10.1016/j.jfa.2012.09.003

URL : https://hal.archives-ouvertes.fr/hal-00620870

S. Ervedoza, Spectral conditions for admissibility and observability of wave systems: applications to finite element schemes, Numerische Mathematik, vol.47, issue.2, pp.377-415, 2009.
DOI : 10.1016/j.crma.2003.11.032

URL : https://hal.archives-ouvertes.fr/hal-00681689

F. Huang, Characteristic conditions for exponential stability of linear dynamical systems in Hilbert space, Ann. Differential Equations, vol.1, pp.43-56, 1985.

B. Jacob and H. Zwart, On the Hautus Test for Exponentially Stable $C_0$-Groups, SIAM Journal on Control and Optimization, vol.48, issue.3, pp.1275-1288, 2009.
DOI : 10.1137/080724733

J. , L. Rousseau, and G. Lebeau, On Carleman estimates for elliptic and parabolic operators . Applications to unique continuation and control of parabolic equations, ESAIM Control Optim. Calc. Var, vol.18, pp.712-747, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00351736

G. Lebeau and L. Robbiano, Contr??le Exact De L??quation De La Chaleur, Communications in Partial Differential Equations, vol.52, issue.1-2, pp.335-356, 1995.
DOI : 10.1016/0022-0396(87)90043-X

K. Liu, Locally Distributed Control and Damping for the Conservative Systems, SIAM Journal on Control and Optimization, vol.35, issue.5, pp.1574-1590, 1997.
DOI : 10.1137/S0363012995284928

L. Miller, Controllability cost of conservative systems: resolvent condition and transmutation, Journal of Functional Analysis, vol.218, issue.2, pp.425-444, 2005.
DOI : 10.1016/j.jfa.2004.02.001

URL : https://hal.archives-ouvertes.fr/hal-00021426

L. Miller, The Control Transmutation Method and the Cost of Fast Controls, SIAM Journal on Control and Optimization, vol.45, issue.2, pp.762-772, 2006.
DOI : 10.1137/S0363012904440654

URL : https://hal.archives-ouvertes.fr/hal-00009083

L. Miller, A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups, Discrete Contin, Dyn. Syst. Ser. B, vol.14, pp.1465-1485, 2010.

L. Miller, Unique continuation estimates for sums of semiclassical eigenfunctions and null-controllability from cones, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00411840

L. Miller, Resolvent conditions for the control of unitary groups and their approximations, Journal of Spectral Theory, vol.2, pp.1-55, 2012.
DOI : 10.4171/JST/20

URL : https://hal.archives-ouvertes.fr/hal-00620772

K. Phung, Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equation under the Bardos-Lebeau-Rauch geometric control condition, Computers & Mathematics with Applications, vol.44, issue.10-11, pp.44-1289, 2002.
DOI : 10.1016/S0898-1221(02)00256-0

K. Phung and G. Wang, An observability estimate for parabolic equations from a measurable set in time and its applications, Journal of the European Mathematical Society, vol.15, issue.2, pp.681-703, 2013.
DOI : 10.4171/JEMS/371

URL : https://hal.archives-ouvertes.fr/hal-00625082

J. Prüss, On the spectrum of C0-semigroups, Trans. Amer. Math. Soc, vol.284, pp.847-857, 1984.

D. Russell, A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations, Studies in Applied Mathematics, vol.40, issue.3, pp.52-189, 1973.
DOI : 10.1016/0022-247X(72)90055-8

D. L. Russell and G. Weiss, A General Necessary Condition for Exact Observability, SIAM Journal on Control and Optimization, vol.32, issue.1, pp.1-23, 1994.
DOI : 10.1137/S036301299119795X

T. Seidman, How violent are fast controls, III, Journal of Mathematical Analysis and Applications, vol.339, issue.1, pp.461-468, 2008.
DOI : 10.1016/j.jmaa.2007.07.008

URL : https://doi.org/10.1016/j.jmaa.2007.07.008

G. Tenenbaum and M. Tucsnak, On the null-controllability of diffusion equations, ESAIM: Control, Optimisation and Calculus of Variations, vol.21, issue.4, pp.1088-1100, 2011.
DOI : 10.1112/jlms/s1-21.4.268

URL : https://hal.archives-ouvertes.fr/hal-00590614

K. Ramdani, T. Takahashi, G. Tenenbaum, and M. Tucsnak, A spectral approach for the exact observability of infinite-dimensional systems with skew-adjoint generator, Journal of Functional Analysis, vol.226, issue.1, pp.226-193, 2005.
DOI : 10.1016/j.jfa.2005.02.009

URL : https://hal.archives-ouvertes.fr/hal-00091371

M. Tucsnak and G. Weiss, Observation and Control for Operator Semigroups, Birkhäuser Advanced Texts: Basel Textbooks, 2009.
DOI : 10.1007/978-3-7643-8994-9

URL : https://link.springer.com/content/pdf/bfm%3A978-3-7643-8994-9%2F1.pdf