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

Dynamic rotor imbalance is widely identified as the primary source of disturbance in gimbal
servo systems and a major factor in the deterioration of their velocity tracking performance …

The weak form is a ubiquitous, well-studied, and widely-utilized mathematical tool in modern
computational and applied mathematics. In this work we provide a survey of both the history …

In this paper, we propose a non-asymptotic state estimation method for the linear reaction
diffusion equation with general boundary conditions. The method is based on the …

In online parameter estimation, fast and accurate estimation without dependence on the
initial conditions with good transient properties is an essential issue. Hence, in this paper, a …

The problem of estimating the parameters of biased and exponentially-damped multi-
sinusoidal signals is addressed in this paper by a finite-time identification scheme based on …

In this article, we studied the parameters identification problem for the single sinusoidal
signal based on the finite-time observer technique. After representing the sinusoidal signal …

In this technical communique, we propose a novel observer-based adaptive scheme to deal
with the parameter estimation problem of biased sinusoidal signals. Different from the …

Parametric estimation of a biased harmonic signal is a significant technical challenge for
many engineering applications. Such a problem is particularly important for electric utility …

The paper presents a method to estimate frequencies of a multi-sinusoidal signal in finite
time. Expressing the signal via delayed measurements, we transform this nonlinear problem …