M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, American Journal of Physics, vol.34, issue.2, 1965.
DOI : 10.1119/1.1972842

M. Fliess and H. Sira-ramírez, Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques Identification of Continuous-time Models from Sampled Data, pp.363-391, 2008.

M. Fliess and H. Sira-ramírez, An algebraic framework for linear identification, ESAIM: Control, Optimisation and Calculus of Variations, vol.9, pp.151-168, 2003.
DOI : 10.1051/cocv:2003008

H. , D. N. Schneider, A. Reinhardt, and H. J. , Regularization of a non-characteristic Cauchy problem for a parabolic equation, Inverse Problems, vol.11, pp.1247-1264, 1995.

S. Haykin and B. Van-veen, Signals and Systems, 2002.

S. Ibrir, Online exact differentiation and notion of asymptotic algebraic observers, IEEE Transactions on Automatic Control, vol.48, issue.11, pp.2055-2060, 2003.
DOI : 10.1109/TAC.2003.819303

S. Ibrir, Linear time-derivative trackers, Automatica, vol.40, issue.3, pp.397-405, 2004.
DOI : 10.1016/j.automatica.2003.09.020

I. R. Khan and R. Ohba, New finite difference formulas for numerical differentiation, Journal of Computational and Applied Mathematics, vol.126, issue.1-2, pp.269-276, 2000.
DOI : 10.1016/S0377-0427(99)00358-1

A. Levant, Higher-order sliding modes, differentiation and output-feedback control, International Journal of Control, vol.76, issue.9-10, pp.924-941, 2003.
DOI : 10.1080/0020717031000099029

D. Y. Liu, O. Gibaru, and W. Perruquetti, Error analysis for a class of numerical differentiator: application to state observation, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009.
DOI : 10.1109/CDC.2009.5400907

URL : https://hal.archives-ouvertes.fr/inria-00437129

D. Y. Liu, O. Gibaru, W. Perruquetti, M. Fliess, and M. Mboup, An error analysis in the algebraic estimation of a noisy sinusoidal signal, 2008 16th Mediterranean Conference on Control and Automation, 2008.
DOI : 10.1109/MED.2008.4602161

URL : https://hal.archives-ouvertes.fr/inria-00300234

D. Y. Liu, O. Gibaru, and W. Perruquetti, Differentiation by integration with Jacobi polynomials, Journal of Computational and Applied Mathematics, vol.235, issue.9, 2010.
DOI : 10.1016/j.cam.2010.12.023

URL : https://hal.archives-ouvertes.fr/inria-00550160

J. N. Lyness, Finite-part integrals and the Euler-Maclaurin expansion, in Approximation and Computation, Internat. Ser. Numer. Math, vol.119, pp.397-407, 1994.

M. Mboup, C. Join, and M. Fliess, A revised look at numerical differentiation with an application to nonlinear feedback control, 2007 Mediterranean Conference on Control & Automation, 2007.
DOI : 10.1109/MED.2007.4433728

URL : https://hal.archives-ouvertes.fr/inria-00142588

M. Mboup, C. Join, and M. Fliess, Numerical differentiation with annihilators in noisy environment, Numerical Algorithms 50, pp.439-467, 2009.

D. A. Murio, The Mollification Method and the Numerical Solution of Ill-Posed Problems, 1993.
DOI : 10.1002/9781118033210

D. A. Murio, C. E. Mejía, and S. , Discrete mollification and automatic numerical differentiation, Computers & Mathematics with Applications, vol.35, issue.5, pp.1-16, 1998.
DOI : 10.1016/S0898-1221(98)00001-7

G. Nakamura, S. Wang, and Y. Wang, Numerical differentiation for the second order derivatives of functions of two variables, Journal of Computational and Applied Mathematics, vol.212, issue.2, pp.341-358, 2008.
DOI : 10.1016/j.cam.2006.11.035

R. Qu, A new approach to numerical differentiation and integration, Mathematical and Computer Modelling, vol.24, issue.10, pp.55-68, 1996.
DOI : 10.1016/S0895-7177(96)00164-1

C. M. Rader and L. B. Jackson, Approximating Noncausal IIR Digital Filters Having Arbitrary Poles, Including New Hilbert Transformer Designs, Via Forward/Backward Block Recursion, IEEE Transactions on Circuits and Systems I: Regular Papers, vol.53, issue.12, pp.2779-2787, 2006.
DOI : 10.1109/TCSI.2006.883877

A. G. Ramm and A. B. Smirnova, On stable numerical differentiation, Mathematics of Computation, vol.70, issue.235, pp.1131-1153, 2001.
DOI : 10.1090/S0025-5718-01-01307-2

S. K. Rangarajana and S. P. Purushothaman, Lanczos??? generalized derivative for higher orders, Journal of Computational and Applied Mathematics, vol.177, issue.2, pp.461-465, 2005.
DOI : 10.1016/j.cam.2004.10.016

R. A. Roberts and C. T. Mullis, Digital signal processing in the UK, Electronics and Power, vol.33, issue.3, 1987.
DOI : 10.1049/ep.1987.0120

E. Parzen, Stochastic processes, 1962.
DOI : 10.1137/1.9781611971125

Y. X. Su, C. H. Zheng, P. C. Mueller, and B. Y. Duan, A simple improved velocity estimation for low-speed regions based on position measurements only, IEEE Transactions on Control Systems Technology, vol.14, issue.5, pp.937-942, 2006.
DOI : 10.1109/TCST.2006.876917

G. Szegö, Orthogonal polynomials, 1967.
DOI : 10.1090/coll/023

Y. Wang, X. Jia, and J. Cheng, A numerical differentiation method and its application to reconstruction of discontinuity, Inverse Problems, vol.18, issue.6, pp.1461-1476, 2002.
DOI : 10.1088/0266-5611/18/6/301

Z. Wang and R. Wen, Numerical differentiation for high orders by an integration method, Journal of Computational and Applied Mathematics, vol.234, issue.3, pp.941-948, 2010.
DOI : 10.1016/j.cam.2010.01.056

T. Wei, Y. C. Hon, and Y. Wang, Reconstruction of numerical derivatives from scattered noisy data, Inverse Problems, vol.21, issue.2, pp.657-672, 2005.
DOI : 10.1088/0266-5611/21/2/013