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 …

The historical developments, parametrization, and numerous applications of algebraic
numerical differentiation methods initiated by Fliess, Mboup, Join, and Sira-Ramírez are …

This article provides an overview of the cubic phase function (CPF) as a tool proposed for
both parametric and nonparametric estimation of the frequency modulated (FM) and in …

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 …

This paper presents the design of a robust nonlinear adaptive controller for trajectory
tracking maneuvers of the nonminimum phase output voltage on a dc-to-dc “boost” power …

The control of the popular magnetic levitation system is addressed from the viewpoint of
adaptive control based on fast, on line, algebraic parameter estimation, exact linearization …

Algèbre différentielle, algèbre non commutative et calcul opérationnel conduisent à des
méthodes efficaces et simples d'analyse et de compression de signaux transitoires bruités …

This paper deals with on-line identification of continuous-time systems with structured
entries. Such entries, which may consist of inputs, perturbations or piecewise polynomial …

An algebraic approach is proposed for the fast and reliable, on line, identification of the
amplitude, frequency and phase parameters in unknown noisy sinusoidal signals. The …

The integer order differentiation by integration method based on the Jacobi orthogonal
polynomials for noisy signals was originally introduced by Mboup, Join and Fliess. We …