Survey on algebraic numerical differentiation: historical developments, parametrization, examples, and applications

A Othmane, L Kiltz, J Rudolph - International Journal of Systems …, 2022 - Taylor & Francis
The historical developments, parametrization, and numerous applications of algebraic
numerical differentiation methods initiated by Fliess, Mboup, Join, and Sira-Ramírez are …

Numerical differentiation with annihilators in noisy environment

M Mboup, C Join, M Fliess - Numerical algorithms, 2009 - Springer
Numerical differentiation in noisy environment is revised through an algebraic approach. For
each given order, an explicit formula yielding a pointwise derivative estimation is derived …

Analyse non standard du bruit

M Fliess - Comptes rendus. Mathématique, 2006 - comptes-rendus.academie-sciences …
Résumé La formalisation non standard, due à P. Cartier et Y. Perrin, des oscillations rapides
fournit un cadre mathématique adéquat pour de nouvelles techniques d'estimation non …

A revised look at numerical differentiation with an application to nonlinear feedback control

M Mboup, C Join, M Fliess - 2007 Mediterranean Conference …, 2007 - ieeexplore.ieee.org
A Revised Look at Numerical Differentiation with an Application to Nonlinear Feedback Control
Page 1 A revised look at numerical differentiation with an application to nonlinear feedback …

On algebraic time-derivative estimation and deadbeat state reconstruction

J Reger, J Jouffroy - Proceedings of the 48h IEEE Conference …, 2009 - ieeexplore.ieee.org
This paper places into perspective the so-called algebraic time-derivative estimation method
introduced by Fliess and co-authors with standard results from linear state-space theory for …

[PDF][PDF] Vers une commande multivariable sans mod\ele

M Fliess, C Join, M Mboup, H Sira-Ramirez - arXiv preprint math/0603155, 2006 - arxiv.org
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On the algebraic identification of the frequencies, amplitudes and phases of two sinusoidal signals from their noisy sum

JR Trapero, H Sira-Ramírez… - International Journal of …, 2008 - Taylor & Francis
An algebraic identification approach is used for the fast and reliable on-line determination of
the defining parameters of two sinusoidal signals of different, unknown, amplitudes, phases …

Algebraische Ableitungsschätzung im Kontext der Rekonstruierbarkeit (Algebraic time-derivative estimation in the context of reconstructibility)

J Reger, J Jouffroy - 2008 - degruyter.com
Das von Fliess und Sira Ramírez vorgeschlagene algebraische Verfahren zur Schätzung
von Zeitableitungen gemessener Signale wird aus klassischen Resultaten der …

Adaptive higher order sliding modes for two-dimensional derivative estimation

L Sidhom, M Smaoui, D Thomasset, X Brun… - IFAC Proceedings …, 2011 - Elsevier
The higher order sliding modes is some of recent technique which is used for the derivatives
noisy signals estimation. In fact, this technique is well known mostly to elaborate the control …

[HTML][HTML] Multivariate numerical differentiation

S Riachy, M Mboup, JP Richard - Journal of Computational and Applied …, 2011 - Elsevier
We present an innovative method for multivariate numerical differentiation ie the estimation
of partial derivatives of multidimensional noisy signals. Starting from a local model of the …