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

This paper aims to deal with the non-asymptotic and robust estimation problem for nonlinear
fractional-order systems. The motivation starts with a physical system which develops into a …

This paper aims at designing a nonasymptotic and robust pseudo-state estimator for a class
of fractional order linear systems which can be transformed into the Brunovsky's observable …

This paper aims to design model-free fractional order differentiators to non-asymptotically
and robustly estimate both the Riemann–Liouville and Caputo fractional derivatives of an …

In this paper, a non-asymptotic and robust method is proposed to estimate the fractional
integral and derivative of the pseudo-state for a class of fractional order linear systems in …

This paper discusses the use of techniques related to the modulating function method for
performing joint parameter and state estimation. After a short review of other methods …

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, a class of fractional order vibration systems is considered, where the fractional
differentiation orders are arbitrary real numbers between 0 and 2. The objective is to fast and …

In this paper, we aim to introduce an innovative non-asymptotic and robust estimation
method based on the observable canonical form by means of a set of auxiliary modulating …

In this paper, the objective is to estimate the pseudo-state of fractional order systems defined
by the Caputo fractional derivative from discrete noisy output measurement. For this …