7 citations · 35 across the 38 of their papers we have counts for
5 papers · 1 filter
Modulating Functions-Based Method for Parameters and Source Estimation in One-Dimensional Partial Differential Equations
Sharefa Asiri, Taous-Meriem Laleg-Kirati
In this paper, modulating functions-based method is proposed for estimating space-time dependent unknowns in one-dimensional partial differential equations. The proposed method sim…
Iterative observer for boundary estimation for elliptic equations
Muhammad Usman Majeed, Taous Meriem Laleg-Kirati
In this paper we propose the design of an iterative observer using space as a time-like variable and prove its convergence. The iterative observer algorithm solves boundary estimat…
Identification of fractional order systems using modulating functions method
Da-Yan Liu, Taous-Meriem Laleg-Kirati, Olivier Gibaru +1
The modulating functions method has been used for the identification of linear and nonlinear systems. In this paper, we generalize this method to the on-line identification of frac…
Fractional order differentiation by integration with Jacobi polynomials
Da-Yan Liu, Olivier Gibaru, Wilfrid Perruquetti +1
The differentiation by integration method with Jacobi polynomials was originally introduced by Mboup, Join and Fliess. This paper generalizes this method from the integer order to…
Mathematical properties of a semi-classical signal analysis method: noisy signal case
Da-Yan Liu, Taous-Meriem Laleg-Kirati
Recently, a new signal analysis method based on a semi-classical approach has been proposed [1]. The main idea in this method is to interpret a signal as a potential of a Schroding…