, Null-controllability of one-dimensional parabolic equations, ESAIM: Control, Optimisation and Calculus of Variations, vol.164, issue.2, pp.284-293, 2008.
DOI : 10.1007/s002050200202
URL : http://www.esaim-cocv.org/articles/cocv/pdf/2008/02/cocv0636.pdf
, Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem, Journal of Mathematical Analysis and Applications, vol.336, issue.2, pp.865-887, 2007.
DOI : 10.1016/j.jmaa.2007.03.024
URL : https://hal.archives-ouvertes.fr/hal-00017486
, Measure Theory, 2007.
DOI : 10.1007/978-3-540-34514-5
, Persistent regional null controllability for a class of degenerate parabolic equations, Commun. Pure Appl. Anal, vol.3, issue.4, pp.607-635, 2004.
, Carleman Estimates for a Class of Degenerate Parabolic Operators, SIAM Journal on Control and Optimization, vol.47, issue.1, pp.1-19, 2008.
DOI : 10.1137/04062062X
, Carleman estimates and null controllability for boundarydegenerate parabolic operators, C. R. Math. Acad. Sci. Paris, vol.347, pp.3-4147, 2009.
DOI : 10.1016/j.crma.2008.12.011
URL : https://hal.archives-ouvertes.fr/hal-00994813
, The cost of controlling degenerate parabolic equations by boundary controls. ArXiv e-prints, 2015.
, Controllability of the Heat Equation with an Inverse-Square Potential Localized on the Boundary, SIAM Journal on Control and Optimization, vol.52, issue.4
DOI : 10.1137/120862557
URL : http://arxiv.org/pdf/1201.3390
, Integral operators and reflection principles for parabolic equations in one space variable, Journal of Differential Equations, vol.15, issue.3, pp.551-559, 1974.
DOI : 10.1016/0022-0396(74)90073-4
URL : https://doi.org/10.1016/0022-0396(74)90073-4
, Control and Stabilization Properties for a Singular Heat Equation with an Inverse-Square Potential, Communications in Partial Differential Equations, vol.5, issue.11, pp.10-121996, 2008.
DOI : 10.1006/jfan.1999.3556
URL : https://hal.archives-ouvertes.fr/hal-00681699
, Exact controllability theorems for linear parabolic equations in one space dimension, Archive for Rational Mechanics and Analysis, vol.18, issue.4, pp.272-292, 1971.
DOI : 10.1016/0022-247X(67)90045-5
, Carleman estimates for degenerate parabolic equations with first order terms and applications, Comptes Rendus Mathematique, vol.348, issue.7-8, pp.391-396, 2010.
DOI : 10.1016/j.crma.2010.01.007
, Controllability of evolution equations, 1996.
, Controllability of parabolic equations, Mat. Sb, vol.186, issue.6, pp.109-132, 1995.
, A fundamental solution for the heat equation which is supported in a strip, J. Math. Anal. Appl, vol.60, issue.2, pp.314-324, 1977.
, Extension de la notion de platitudè a des systèmes décrits par deséquationsdeséquations aux dérivées partielles linéaires, 2000.
, Motion planning for a 1-D diffusion equation using a Brunovsky-like decomposition, Proceedings of the International Symposium on the Mathematical Theory of Networks and Systems (MTNS), 2000.
, Motion planning for the heat equation, International Journal of Robust and Nonlinear Control, vol.59, issue.60, pp.629-643, 2000.
DOI : 10.1017/CBO9780511609565
, 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
, Entire functions and Müntz-Szász type approximation, Trans. Amer. Math. Soc, vol.157, pp.23-37, 1971.
, Null controllability of the 1D heat equation using flatness, 1st IFAC workshop on Control of Systems Governed by Partial Differential Equations (CPDE2013), pp.7-12, 2013.
DOI : 10.3182/20130925-3-FR-4043.00074
URL : https://hal.archives-ouvertes.fr/hal-00971487
, Null controllability of the 2D heat equation using flatness, 52nd IEEE Conference on Decision and Control, pp.3738-3743, 2013.
DOI : 10.1109/CDC.2013.6760459
URL : https://hal.archives-ouvertes.fr/hal-00971484
, Controllability of the 1d schrödinger equation by the flatness approach, 19th World Congress of the International Federation of Automatic Control, pp.646-651, 2014.
DOI : 10.3182/20140824-6-za-1003.00442
URL : http://arxiv.org/pdf/1404.0814.pdf
, Null controllability of the heat equation using flatness, Automatica, vol.50, issue.12, pp.3067-3076, 2014.
DOI : 10.1016/j.automatica.2014.10.049
URL : https://hal.archives-ouvertes.fr/hal-00971484
, Null controllability using flatness: A case study of a 1-D heat equation with discontinuous coefficients, 2015 European Control Conference (ECC), 2015.
DOI : 10.1109/ECC.2015.7330525
URL : https://hal.archives-ouvertes.fr/hal-01263652
, Flatness and null controllability of 1-D parabolic equations, PAMM, vol.16, issue.1, pp.47-50, 2016.
DOI : 10.1109/ECC.2015.7330525
URL : https://hal.archives-ouvertes.fr/hal-01486915
, Null Controllability of One-dimensional Parabolic Equations by the Flatness Approach, SIAM Journal on Control and Optimization, vol.54, issue.1, pp.198-220, 2016.
DOI : 10.1137/14099245X
URL : https://hal.archives-ouvertes.fr/hal-01073404
, On the Reachable States for the Boundary Control of the Heat Equation, Applied Mathematics Research eXpress, vol.117, issue.1, pp.2016181-216, 2016.
DOI : 10.1007/BF03322923
URL : https://hal.archives-ouvertes.fr/hal-01206378
, Control of Higher?Dimensional PDEs: Flatness and Backstepping Designs, Communications and Control Engineering, 2012.
DOI : 10.1007/978-3-642-30015-8