Nonuniform sampling and reconstruction in shift-invariant spaces, SIAM Rev, pp.585-620, 2001. ,
Solving Inverse Source Problems Using Observability. Applications to the Euler???Bernoulli Plate Equation, SIAM Journal on Control and Optimization, vol.48, issue.3, pp.1632-1659, 2009. ,
DOI : 10.1137/080725635
URL : https://hal.archives-ouvertes.fr/hal-00283402
Vector-valued Laplace transforms and Cauchy problems, Monographs in Mathematics, vol.96, 2001. ,
DOI : 10.1007/bf02774144
Theory of reproducing kernels, Transactions of the American Mathematical Society, vol.68, issue.3, pp.337-404, 1950. ,
DOI : 10.1090/S0002-9947-1950-0051437-7
Automatic correction of motion artifacts in magnetic resonance images using an entropy focus criterion, IEEE Transactions on Medical Imaging, vol.16, issue.6, pp.16-903, 1997. ,
DOI : 10.1109/42.650886
Families of exponentials The method of moments in controllability problems for distributed parameter systems, 1995. ,
Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations, SIAM Journal on Numerical Analysis, vol.13, issue.4, pp.564-576, 1976. ,
DOI : 10.1137/0713048
Initial-boundary value problems for an extensible beam, Journal of Mathematical Analysis and Applications, vol.42, issue.1, pp.61-90, 1973. ,
DOI : 10.1016/0022-247X(73)90121-2
Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary, SIAM Journal on Control and Optimization, vol.30, issue.5, pp.1024-1065, 1992. ,
DOI : 10.1137/0330055
A new approach to the analysis of large deflections of plates, J. Appl. Mech, vol.22, pp.465-472, 1955. ,
Segmented K-space cine breath-hold cardiovascular MR imaging: Part 1. Principles and technique., American Journal of Roentgenology, vol.169, issue.2, pp.395-400, 1997. ,
DOI : 10.2214/ajr.169.2.9242742
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2396298
PC-based system for retrospective cardiac and respiratory gating of NMR data, Magnetic Resonance in Medicine, vol.3, issue.2, pp.16-303, 1990. ,
DOI : 10.1002/mrm.1910160211
The mathematical theory of finite element methods, of Texts in Applied Mathematics, 1994. ,
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
Control and Stabilization for the Wave Equation in a Bounded Domain, SIAM Journal on Control and Optimization, vol.17, issue.1, pp.66-81, 1979. ,
DOI : 10.1137/0317007
An approximation method for exact controls of vibrating systems, 2009. ,
Three dimensional reproducing kernel Hilbert spaces for heart modulated cadio-respiratory magnetic resonance imaging, Proceedings 16th Scientific Meeting, 2008. ,
Fast and strongly localized observation for a perturbed plate equation, International Series of Numerical Mathematics, vol.158, pp.73-83, 2009. ,
Local exact controllability for Berger plate equation, Mathematics of Control, Signals, and Systems (MCSS), pp.93-110, 2009. ,
Reconstruction from free-breathing cardiac MRI data using reproducing kernel Hilbert spaces, Magn Reson Med, vol.63, pp.59-67, 2010. ,
Free vibrations and dynamic buckling of the extensible beam, Journal of Mathematical Analysis and Applications, vol.29, issue.2, pp.443-454, 1970. ,
DOI : 10.1016/0022-247X(70)90094-6
A General Theory of Observation and Control, SIAM Journal on Control and Optimization, vol.15, issue.2, pp.185-220, 1977. ,
DOI : 10.1137/0315015
Representation of the exact solution and a stability analysis on the Fredholm integral equation of the first kind in reproducing kernel space, Applied Mathematics and Computation, vol.182, issue.2, pp.1608-1614, 2006. ,
DOI : 10.1016/j.amc.2006.05.049
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 : 10.1007/s00211-009-0235-5
URL : https://hal.archives-ouvertes.fr/hal-00681689
Hilbert Uniqueness Method and Regularity: Applications to the order of convergence of discrete controls for the wave equation, 2009. ,
Amplitude demodulation of the electrocardiogram signal (ECG) for respiration monitoring and compensation during MR examinations, Magnetic Resonance in Medicine, vol.33, issue.6, pp.129-136, 1997. ,
DOI : 10.1002/mrm.1910380118
Simultaneous temporal resolution of cardiac and respiratory motion in MR imaging., Radiology, vol.195, issue.1, pp.195-169, 1995. ,
DOI : 10.1148/radiology.195.1.7892461
Controllability of evolution equations, of Lecture Notes Series, 1996. ,
A numerical approach to the exact boundary controllability of the wave equation (i) Dirichlet controls: Description of the numerical methods, Japan J. Appl. Math, pp.7-8, 1990. ,
Exact and approximate controllability for distributed parameter systems, Acta Numer, pp.159-333, 1996. ,
DOI : 10.1017/cbo9780511721595
Une remarque sur la stabilisation de certains systèmes dudeuxì eme ordre en temps, Portugal. Math, vol.46, pp.245-258, 1989. ,
Global Carleman estimates for weak solutions of elliptic nonhomogeneous Dirichlet problems, Comptes Rendus Mathematique, vol.335, issue.1, pp.883-913, 2003. ,
DOI : 10.1016/S1631-073X(02)02389-0
Some trigonometrical inequalities with applications to the theory of series, Mathematische Zeitschrift, vol.3, issue.2, pp.367-379, 1936. ,
DOI : 10.1112/plms/s2-38.1.458
A time reversal based algorithm for solving initial data inverse problems, Discrete Contin, Dyn. Syst. Ser. S, 2010. ,
Contrôle interne exact des vibrations d'une plaque rectangulaire, Portugal . Math, pp.47-423, 1990. ,
SENSE using FOCUSS, Physics in Medicine and Biology, vol.52, issue.11, pp.52-3201, 2007. ,
DOI : 10.1088/0031-9155/52/11/018
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.489.8976
Pseudo-p??riodicit?? et s??ries de Fourier lacunaires, Annales scientifiques de l'??cole normale sup??rieure, vol.79, issue.2, pp.79-93, 1962. ,
DOI : 10.24033/asens.1108
URL : http://archive.numdam.org/article/ASENS_1962_3_79_2_93_0.pdf
Fully automatic, retrospective enhancement of real-time acquired cardiac cine MR images using image-based navigators and respiratory motion-corrected averaging, Magnetic Resonance in Medicine, vol.51, issue.4, pp.59-771, 2008. ,
DOI : 10.1002/mrm.21509
On the exact internal controllability of a Petrowsky system, J. Math. Pures Appl, issue.9, pp.71-331, 1992. ,
Necessary density conditions for sampling and interpolation of certain entire functions, Acta Mathematica, vol.117, issue.0, pp.37-52, 1967. ,
DOI : 10.1007/BF02395039
Exact controllability and uniform stabilization of Euler-Bernoulli equations with boundary control only in ?w| ?, Boll. Un. Mat. Ital. B, vol.5, issue.7, pp.665-702, 1991. ,
Contrôle de l'´ equation de Schrödinger, J. Math. Pures Appl, issue.9, pp.71-267, 1992. ,
Dynamic imaging by model estimation, International Journal of Imaging Systems and Technology, vol.8, issue.6, pp.551-557, 1997. ,
DOI : 10.1002/(SICI)1098-1098(1997)8:6<551::AID-IMA7>3.0.CO;2-9
Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués, of Recherches en Mathématiques Appliquées, 1988. ,
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
Observing the State of a Linear System, IEEE Transactions on Military Electronics, vol.8, issue.2, p.74, 1964. ,
DOI : 10.1109/TME.1964.4323124
Timoshenko's beam equation as limit of a nonlinear one-dimensional von K??rm??n system, Proc. Roy. Soc. Edinburgh Sect. A, pp.130-855, 2000. ,
DOI : 10.1017/S0308210500000470
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-00002098
Maximum Entropy Image Restoration in Astronomy, Annual Review of Astronomy and Astrophysics, vol.24, issue.1, pp.127-170, 1986. ,
DOI : 10.1146/annurev.aa.24.090186.001015
Nonlinear oscillations, 1979. ,
Free-breathing Cardiac MR Imaging: Study of Implications of Respiratory Motion???Initial Results, Radiology, vol.220, issue.3, pp.220-810, 2001. ,
DOI : 10.1148/radiol.2203010132
Generalized MRI reconstruction including elastic physiological motion and coil sensitivity encoding, Magnetic Resonance in Medicine, vol.33, issue.6, pp.59-1401, 2008. ,
DOI : 10.1002/mrm.21520
URL : https://hal.archives-ouvertes.fr/inserm-00311700
Noise Cancellation Signal Processing Method and Computer System for Improved Real-Time Electrocardiogram Artifact Correction During MRI Data Acquisition, IEEE Transactions on Biomedical Engineering, vol.54, issue.4, pp.54-630, 2007. ,
DOI : 10.1109/TBME.2006.889174
Generalized Reconstruction by Inversion of Coupled Systems (GRICS) applied to free-breathing MRI, Magnetic Resonance in Medicine, vol.176, issue.1, pp.60-146, 2008. ,
DOI : 10.1002/mrm.21623
URL : https://hal.archives-ouvertes.fr/inserm-00311698
Semigroups of linear operators and applications to partial differential equations, of Applied Mathematical Sciences, 1983. ,
DOI : 10.1007/978-1-4612-5561-1
Stabilization of Berger- Timoshenko's equation as limit of the uniform stabilization of the von Kármán system of beams and plates, M2AN Math. Model. Numer. Anal, pp.36-657, 2002. ,
Assessment of reproducibility and stability of different breath-hold maneuvres by dynamic MRI: comparison between healthy adults and patients with pulmonary hypertension, European Radiology, vol.16, issue.1, pp.16-173, 2006. ,
DOI : 10.1007/s00330-005-2795-9
Mutualinformation-based registration of medical images: a survey, pp.986-1004, 2003. ,
Numerical approximation of partial differential equations, of Springer Series in Computational Mathematics, 1997. ,
A spectral approach for the exact observability of infinite-dimensional systems with skew-adjoint generator, Journal of Functional Analysis, vol.226, issue.1, pp.193-229, 2005. ,
DOI : 10.1016/j.jfa.2005.02.009
URL : https://hal.archives-ouvertes.fr/hal-00091371
Recovering the initial state of an infinite-dimensional system using observers, Automatica, vol.46, issue.10, 2009. ,
DOI : 10.1016/j.automatica.2010.06.032
URL : https://hal.archives-ouvertes.fr/hal-00529834
An extension of russell's principle on exact controllability, Proc. of the Fourth ECC, 1997. ,
Cardiac magnetic resonance imaging by retrospective gating: mathematical modelling and reconstruction algorithms, European Journal of Applied Mathematics, vol.9, issue.03, pp.241-270, 1993. ,
DOI : 10.1109/PROC.1978.10837
URL : https://www.rug.nl/research/portal/files/14406682/1993EurJApplMathRoerdink.pdf
Exact boundary value controllability theorems for wave and heat processes in star-complemented regions, Differential games and control theory, pp.291-319, 1973. ,
The effect of motion on two-dimensional Fourier transformation magnetic resonance images., Radiology, vol.152, issue.1, pp.152-117, 1984. ,
DOI : 10.1148/radiology.152.1.6729101
Motion in Cardiovascular MR Imaging, Radiology, vol.250, issue.2, pp.250-331, 2009. ,
DOI : 10.1148/radiol.2502071998
Cardiac function estimation from MRI using a heart model and data assimilation: Advances and difficulties, Medical Image Analysis, pp.642-656, 2005. ,
Fivedimensional MRI incorporating simultaneous resolution of cardiac and respiratory phases for volumetric imaging, J Magn Reson Imaging, pp.25-113, 2007. ,
Introduction to Fourier analysis on Euclidean spaces, 1971. ,
An Analysis of the Finite-Element Method, Journal of Applied Mechanics, vol.41, issue.1, 1973. ,
DOI : 10.1115/1.3423272
Fast and strongly localized observation for the Schr??dinger equation, Transactions of the American Mathematical Society, vol.361, issue.02, pp.951-977, 2009. ,
DOI : 10.1090/S0002-9947-08-04584-4
Cardiorespiratory-resolved magnetic resonance imaging: Measuring respiratory modulation of cardiac function, Magnetic Resonance in Medicine, vol.56, issue.6, pp.56-1301, 2006. ,
DOI : 10.1002/mrm.21075
Simultaneous Exact Controllability and Some Applications, SIAM Journal on Control and Optimization, vol.38, issue.5, pp.1408-1427, 2000. ,
DOI : 10.1137/S0363012999352716
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.530.5418
Real-Time MR Imaging of Aortic Flow: Influence of Breathing on Left Ventricular Stroke Volume in Chronic Obstructive Pulmonary Disease, Radiology, vol.229, issue.2, pp.229-513, 2003. ,
DOI : 10.1148/radiol.2292020559
How to get a conservative well-posed linear system out of thin air. Part I. Well-posedness and energy balance, ESAIM: Control, Optimisation and Calculus of Variations, vol.9, pp.247-274, 2003. ,
DOI : 10.1051/cocv:2003012
Systolic Time Intervals in Heart Failure in Man, Circulation, vol.37, issue.2, pp.37-149, 1968. ,
DOI : 10.1161/01.CIR.37.2.149
Comparison of Different Methods for Detection of Diastolic Filling Abnormalities, Journal of the American Society of Echocardiography, vol.18, issue.7, pp.710-717, 2005. ,
DOI : 10.1016/j.echo.2005.03.038
MR image artifacts from periodic motion, Medical Physics, vol.12, issue.2, pp.143-51, 1985. ,
DOI : 10.1118/1.595782
An introduction to nonharmonic Fourier series., Pure and Applied Mathematics, 93, 1980. ,
Contrôlabilité exacte d'un modèle de plaques vibrantes en un temps arbitrairement petit, C. R. Acad. Sci. Paris Sér. I Math, vol.304, pp.173-176, 1987. ,