The Kalman condition for the boundary controllability of coupled parabolic systems. Bounds on biorthogonal families to complex matrix exponentials, Journal de Math??matiques Pures et Appliqu??es, vol.96, issue.6, pp.96-555, 2011. ,
DOI : 10.1016/j.matpur.2011.06.005
URL : https://hal.archives-ouvertes.fr/hal-00539825
Minimal time for the null controllability of parabolic systems: The effect of the condensation index of complex sequences, Journal of Functional Analysis, vol.267, issue.7, pp.2077-2151, 2014. ,
DOI : 10.1016/j.jfa.2014.07.024
URL : https://hal.archives-ouvertes.fr/hal-00918596
New phenomena for the null controllability of parabolic systems: Minimal time and geometrical dependence, Journal of Mathematical Analysis and Applications, vol.444, issue.2, pp.1071-1113, 2016. ,
DOI : 10.1016/j.jmaa.2016.06.058
URL : https://hal.archives-ouvertes.fr/hal-01165713
Supraconvergence of a finite difference scheme for solutions in Hs(0, L), IMA Journal of Numerical Analysis, vol.25, issue.4, pp.25-797, 2005. ,
DOI : 10.1093/imanum/dri018
Finite element approximation of eigenvalue problems, Acta Numerica, vol.19, pp.1-120, 2010. ,
DOI : 10.1017/S0962492910000012
On the penalised HUM approach and its applications to the numerical approximation of null-controls for parabolic problems, CANUM 2012, 41e Congrès National d'Analyse Numérique, pp.15-58, 2013. ,
DOI : 10.1051/proc/201341002
URL : https://hal.archives-ouvertes.fr/hal-00812964
Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations, Journal de Math??matiques Pures et Appliqu??es, vol.93, issue.3, pp.93-240, 2010. ,
DOI : 10.1016/j.matpur.2009.11.003
URL : https://hal.archives-ouvertes.fr/hal-00366496
Discrete Carleman Estimates for Elliptic Operators in Arbitrary Dimension and Applications, SIAM Journal on Control and Optimization, vol.48, issue.8, pp.48-5357, 2010. ,
DOI : 10.1137/100784278
URL : https://hal.archives-ouvertes.fr/hal-00450854
Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations, Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, pp.31-1035, 2014. ,
Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis, IMA Journal of Numerical Analysis, vol.36, issue.2, pp.503-542, 2015. ,
DOI : 10.1093/imanum/drv026
URL : http://hdl.handle.net/20.500.11824/260
Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations, Quarterly of Applied Mathematics, vol.32, issue.1, pp.45-69, 1974. ,
DOI : 10.1090/qam/510972
Exact and approximate controllability for distributed parameter systems, of Encyclopedia of Mathematics and its Applications, 2008. ,
DOI : 10.1017/cbo9780511721595
Uniform controllability of semidiscrete approximations of parabolic control systems, Systems & Control Letters, vol.55, issue.7, pp.597-609, 2006. ,
DOI : 10.1016/j.sysconle.2006.01.004
Control of Wave Processes with Distributed Controls Supported on a Subregion, SIAM Journal on Control and Optimization, vol.21, issue.1, pp.68-85, 1983. ,
DOI : 10.1137/0321004
Some new results related to the null controllability of the 1-d heat equation, Séminaire sur lesÉquationsles´lesÉquations aux Dérivées Partielles, p.22, 1997. ,
Temereanc? a, Approximation of the controls for the linear beam equation, Math. Control Signals Systems, vol.28, p.53, 2016. ,
Lower bounds for higher eigenvalues by finite difference methods, Pacific Journal of Mathematics, vol.8, issue.2, pp.339-368, 1958. ,
DOI : 10.2140/pjm.1958.8.339
URL : http://projecteuclid.org/download/pdf_1/euclid.pjm/1103040107
Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods, SIAM Review, vol.47, issue.2, pp.197-243, 2005. ,
DOI : 10.1137/S0036144503432862