, Boundary null-controllability of semi-discrete coupled 2015 parabolic systems in some multi-dimensional geometries, preprint, 2018.
, Spectral analysis of discrete elliptic opera2018 tors and applications in control theory, vol.140, pp.857-911, 2018.
, Null-controllability of some 2021 systems of parabolic type by one control force, ESAIM Control Optim. Calc. Var, vol.11, pp.2022-426, 2005.
, The 2024 Kalman condition for the boundary controllability of coupled parabolic systems. Bounds 2025 on biorthogonal families to complex matrix exponentials, J. Math. Pures Appl, issue.9, pp.555-590, 2011.
, Minimal 2028 time for the null controllability of parabolic systems: The effect of the condensation index 2029 of complex sequences, Journal of Functional Analysis, vol.267, pp.2077-2151, 2014.
, New phe2032 nomena for the null controllability of parabolic systems: minimal time and geometrical de2033 pendence, Ammar Khodja, A. Benabdallah, M. González-Burgos, and M. Morancey, Quanti2035 tative fattorini-hautus test and minimal null control time for parabolic problems, vol.444, pp.1071-1113, 2016.
, Riesz bases of exponentials and divided differences, Algebra 2038 i Analiz, vol.13, pp.1-17, 2001.
DOI : 10.1007/bf01903611
, Heat equation on the Heisenberg group: observability and 2040 applications, J. Differential Equations, vol.262, pp.4475-4521, 2017.
DOI : 10.1016/j.jde.2016.12.021
, Null controllability of Grushin-type oper2043 ators in dimension two, J. Eur. Math. Soc. (JEMS), vol.16, pp.67-101, 2014.
DOI : 10.4171/jems/428
URL : http://hal.inria.fr/docs/00/82/61/16/PDF/Grushin_JEMS.pdf
, Minimal time issues for the observabil2046 ity of Grushin-type equations. working paper or preprint, 2018.
, Degenerate parabolic operators of 2049 Kolmogorov type with a geometric control condition, ESAIM Control Optim. Calc. Var, pp.487-512, 2015.
DOI : 10.1051/cocv/2014035
URL : http://hal.inria.fr/docs/00/86/30/56/PDF/article_7.pdf
, 2D Grushin-type equations: minimal time 2052 and null controllable data, J. Differential Equations, pp.5813-5845, 2015.
DOI : 10.1016/j.jde.2015.07.007
URL : https://hal.archives-ouvertes.fr/hal-01082175/file/Tmin_Grushin_final.pdf
, Leçons sur les Progrès Récents de la Théorie des Séries de Dirichlet
, , 1933.
, Approximate controllability conditions for some linear 1D parabolic 2057 systems with space-dependent coefficients, Math. Control Relat. Fields, vol.4, p.287, 2014.
, Control and nonlinearity, vol.136, p.2060
, Observability for the one-dimensional heat equation, Studia Math, vol.17, pp.2062-291, 1973.
, Controllability of a 2 × 2 parabolic system by one force with space-dependent cou2064 pling term of order one, ESAIM: COCV, 2017.
, Control of the Grushin equation: non-rectangular control region 2067 and minimal time, 2018.
, Resolvent conditions for the control of parabolic equations, J, p.2070
URL : https://hal.archives-ouvertes.fr/hal-00620870
, Funct. Anal, vol.263, pp.3641-3673, 2012.
, Some problems in the theory of optimal control, Z. Vy?isl. Mat. i Mat. Fiz, vol.3, pp.887-904, 1963.
, Some remarks on complete controllability, SIAM J. Control, vol.4, p.694, 1966.
, Exact controllability theorems for linear parabolic equations in 2076 one space dimension, Arch. Rational Mech. Anal, vol.43, pp.272-292, 1971.
, Uniform bounds on biorthogonal functions for real exponentials 2078 with an application to the control theory of parabolic equations, Quart. Appl. Math, vol.32, pp.45-69, 1974.
, Controllability of evolution equations, vol.34, 1996.
, Gal'chuk, Optimal control of systems described by parabolic equations, SIAM J. Control, vol.7, pp.546-558, 1969.
, Probì emes d'Interpolation dans les Espaces de Paley-Wiener et Applica2086 tions en Théorie du Contrôle, 2011.
, Interpolation by vector-valued analytic functions, 2089 with applications to controllability, J. Funct. Anal, vol.252, pp.517-549, 2007.
, Weighted interpolation in Paley-Wiener spaces 2092 and finite-time controllability, J. Funct. Anal, vol.259, pp.2424-2436, 2010.
, Weighted multiple interpolation and the con2095 trol of perturbed semigroup systems, J. Evol. Equ, vol.13, pp.395-410, 2013.
, Applications of Laplace-Carleson embeddings 2098 to admissibility and controllability, SIAM J. Control Optim, vol.52, pp.1299-1313, 2014.
, Sur une expression simple du reste dans la formule d'interpolation de 2101 Newton, Kjöb. Overs, pp.1-7, 1894.
, An introduction to the mathematical theory of inverse problems, vol.120, p.2103
, Applied Mathematical Sciences, pp.978-979, 2011.
, Contrôle exact de l'´ equation de la chaleur, Partial 2106 Differential Equations, vol.20, pp.335-356, 1995.
, Uniform null-controllability for the one-dimensional heat equation 2108 with rapidly oscillating periodic density, Annales de l'Institut Henri Poincare (C) Non 2109 Linear Analysis, vol.19, pp.543-580, 2002.
, Minimal time of null controllability of two parabolic equations, preprint, 2018.
, On the controllability of anomalous diffusions generated by the fractional Laplacian, p.2113
URL : https://hal.archives-ouvertes.fr/hal-00008809
, Math. Control Signals Systems, vol.18, pp.260-271, 2006.
, Boundary approximate controllability of some linear parabolic systems, Evol. Equ. 2115 Control Theory, vol.3, pp.167-189, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00808381
, Approximation theory and methods, 1981.
, Inverse spectral theory, Pure and Applied 2119 Mathematics, vol.130, 1987.
, Real and complex analysis, 1987.
, Boundary null-controllability of two coupled parabolic equations: simultaneous 2122 condensation of eigenvalues and eigenfunctions, preprint, 2018.
, ´ Etude des sommes d'exponentielles réelles, 1943.
, Overconvergence of Dirichlet series with complex exponents, J. Analyse Math, vol.2127, pp.135-170, 1969.
, Observation and control for operator semigroups, Birkhäuser 2129 Advanced Texts: Basler Lehrbücher, pp.978-981, 2009.