B. Carlsson, A. Ahln, and M. Sternad, Optimal differentiation based on stochastic signal models, IEEE Transactions on Signal Processing, vol.39, issue.2, pp.341-353, 1991.
DOI : 10.1109/78.80817
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.54.1421

C. Chen and J. Lee, Design of high-order digital differentiators using L/sub 1/ error criteria, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, pp.287-291, 1995.
DOI : 10.1109/82.378044

Y. Chitour, Time-varying high-gain observers for numerical differentiation, IEEE Transactions on Automatic Control, vol.47, issue.9, pp.1565-1569, 2002.
DOI : 10.1109/TAC.2002.802740

L. Coluccio, A. Eisinberg, and G. Fedele, A property of the elementary symmetric functions on the frequencies of sinusoidal signals, Signal Processing, vol.89, issue.5, pp.765-777, 2009.
DOI : 10.1016/j.sigpro.2008.10.021

A. M. Dabroom and H. K. Khalil, Discrete-time implementation of high-gain observers for numerical differentiation, International Journal of Control, vol.72, issue.17, pp.1523-1537, 1999.
DOI : 10.1080/002071799220029

D. Efimov and L. Fridman, A Hybrid Robust Non-Homogeneous Finite-Time Differentiator, IEEE Transactions on Automatic Control, vol.56, issue.5, pp.1213-1219, 2011.
DOI : 10.1109/TAC.2011.2108590

M. Fliess, M. Mboup, H. Mounier, and H. Sira-ramírez, Questioning some paradigms of signal processing via concrete examples, Algebraic Methods in Flatness, Signal Processing and State Estimation, pp.1-21, 2003.
URL : https://hal.archives-ouvertes.fr/inria-00001059

M. Fliess and H. Sira-ramírez, An algebraic framework for linear identification, ESAIM: Control, Optimisation and Calculus of Variations, vol.97, pp.151-168, 2003.
DOI : 10.1090/S0002-9947-1960-0122815-9
URL : http://www.esaim-cocv.org/articles/cocv/pdf/2003/01/cocv269.pdf

N. Gehring, T. Knppel, J. Rudolph, and F. Woittennek, Algebraic identification of heavy rope parameters, Proc. 16th IFAC Symposium on System Identification, pp.161-166, 2012.

M. Hou, Parameter Identification of Sinusoids, IEEE Transactions on Automatic Control, vol.57, issue.2, pp.467-472, 2003.
DOI : 10.1109/TAC.2011.2164736

S. Ibrir, On observer design for nonlinear systems, International Journal of Systems Science, vol.46, issue.15, pp.1097-1109, 2001.
DOI : 10.1080/00207178708934019

S. Ibrir and S. Diop, A numerical procedure for filtering and efficient high-order signal differentiation, International Journal of Applied Mathematics and Computer Science, vol.14, issue.2 1, p.201208, 2004.

A. Levant, Robust exact differentiation via sliding mode technique, Automatica, vol.34, issue.3, pp.379-384, 1998.
DOI : 10.1016/S0005-1098(97)00209-4

D. Liu, Analyse d'erreurs d'estimateurs des dérivées de signaux bruités et applications, 2011.

M. Mboup, Parameter estimation for signals described by differential equations, Applicable Analysis, vol.26, issue.1, pp.29-52, 2009.
DOI : 10.1109/MED.2008.4602161

M. Mboup, C. Join, and M. Fliess, Numerical differentiation with annihilators in noisy environment, Numerical Algorithms, vol.14, issue.12, pp.439-467, 2009.
DOI : 10.1007/978-1-4612-1118-1
URL : https://hal.archives-ouvertes.fr/inria-00319240

M. Mboup, Parameter estimation via differential algebra and operational culculus, Research Report, issue.3, 2007.
URL : https://hal.archives-ouvertes.fr/inria-00138294

L. Menhour, B. Novel, C. Boussard, M. Fliess, and H. Mounier, Algebraic nonlinear estimation and flatness-based lateral/longitudinal control for automotive vehicles, 2011 14th International IEEE Conference on Intelligent Transportation Systems (ITSC), pp.463-468, 2011.
DOI : 10.1109/ITSC.2011.6083044
URL : https://hal.archives-ouvertes.fr/hal-00611950

J. Mikusi´nskimikusi´nski and T. Boehme, Operational calculus, ser. International series of monographs in pure and applied mathematics, 1987.

J. Mikusi´nskimikusi´nski, Operational calculus, 1959.

R. Morales, J. Somolinos, and H. Sira-ramírez, Control of a DC motor using algebraic derivative estimation with real time experiments, Measurement, vol.47, issue.2, pp.401-417, 2014.
DOI : 10.1016/j.measurement.2013.09.024

R. Morales, F. Rincn, J. D. Gazzano, and J. C. Lopez, Real-Time Algebraic Derivative Estimations Using a Novel Low-Cost Architecture Based on Reconfigurable Logic, Sensors, vol.46, issue.5, p.9349, 2014.
DOI : 10.1016/j.measurement.2013.07.028
URL : http://www.mdpi.com/1424-8220/14/5/9349/pdf

W. Perruquetti, T. Floquet, and E. Moulay, Finite-time observers: application to secure communication Automatic Control, IEEE Transactions on, vol.53, issue.1 2, pp.356-360, 2008.
DOI : 10.1109/tac.2007.914264

A. Quadrat and D. Robertz, Computation of bases of free modules over the Weyl algebras, Journal of Symbolic Computation, vol.42, issue.11-12, pp.1113-1141, 2007.
DOI : 10.1016/j.jsc.2007.06.005
URL : https://hal.archives-ouvertes.fr/inria-00070235

A. Quadrat, An introduction to constructive algebraic analysis and its applications INRIA, Research Report RR-7354 Available: https://hal.inria, p.14, 2010.
DOI : 10.5802/ccirm.11

C. Rader and L. 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, 2002.
DOI : 10.1109/TCSI.2006.883877

J. Reger, P. Mai, and H. Sira-ramirez, Robust algebraic state estimation of chaotic systems, Computer Aided Control System Design IEEE International Conference on Control Applications IEEE International Symposium on Intelligent Control, pp.326-331, 2006.

S. Riachy, Y. Bachalany, M. Mboup, and J. Richard, An algebraic method for multidimensional derivative estimation, MED'08, 16th IEEE Mediterranean Conference on Control and Automation, 2008.
DOI : 10.1109/med.2008.4602167
URL : https://hal.archives-ouvertes.fr/inria-00275461

S. Riachy, M. Mboup, and J. Richard, Multivariate numerical differentiation, Journal of Computational and Applied Mathematics, vol.236, issue.6, p.11, 2011.
DOI : 10.1016/j.cam.2011.07.031
URL : https://hal.archives-ouvertes.fr/inria-00637164

J. Rudolph and F. Woittennek, An algebraic approach to parameter identification in linear infinite dimensional systems, 2008 16th Mediterranean Conference on Control and Automation, pp.332-337, 2008.
DOI : 10.1109/MED.2008.4602008

H. Sira-ramírez, C. G. Rodríguez, J. C. Romero, and A. L. Juárez, Algebraic Identification and Estimation Methods in Feedback Control Systems, 2014.
DOI : 10.1002/9781118730591

J. T. Stafford, Module Structure of Weyl Algebras, Journal of the London Mathematical Society, vol.2, issue.3, pp.429-442, 1978.
DOI : 10.1112/jlms/s2-18.3.429

Y. Su, C. Zheng, P. Mueller, and B. 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

J. Trapero, H. Sira-ramírez, and V. Battle, A fast on-line frequency estimator of lightly damped vibrations in flexible structures, Journal of Sound and Vibration, vol.307, issue.1-2, pp.365-378, 2007.
DOI : 10.1016/j.jsv.2007.07.005

J. Trapero-arenas, M. Mboup, E. Pereira-gonzalez, and V. Feliu, On-line frequency and damping estimation in a single-link flexible manipulator based on algebraic identification, 2008 16th Mediterranean Conference on Control and Automation, pp.338-343, 2008.
DOI : 10.1109/MED.2008.4602100

R. Ushirobira, A. Korporal, and W. Perruquetti, On an algebraic method for derivatives estimation and parameter estimation for partial derivatives systems, Mathematical Theory of Networks and Systems, p.13, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01116890

R. Ushirobira, W. Perruquetti, M. Mboup, and M. Fliess, Estimation algébrique des paramètres intrinsèques d'un signal sinuso¨?dalsinuso¨?dal biaisé en environnement bruité, Proc

X. Xia, Global frequency estimation using adaptive identifiers, IEEE Transactions on Automatic Control, vol.47, issue.7, pp.1188-1193, 2002.
DOI : 10.1109/TAC.2002.800670

K. Yosida, Operational calculus: a theory of hyperfunctions, 1984.
DOI : 10.1007/978-1-4612-1118-1

L. Yu, J. Barbot, and T. Floquet, Tire/Road Contact Condition Identification Using Algebraic Numerical Differentiation, IFAC Symposium on System Identification, 2009.
DOI : 10.3182/20090706-3-FR-2004.00205
URL : https://hal.archives-ouvertes.fr/inria-00374418