Numerical differentiation with annihilators in noisy environment

By Mamadou Lamine Mboup, Cédric Join, Michel Fliess. Numerical Algorithms, 2009

424 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/4afc0e9ad03b55e8cd0460bf32584d579b428bd5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. T. Laleg‐Kirati
2. Wilfrid Perruquetti
3. Olivier Gibaru
4. Dayan Liu
5. Mamadou Lamine Mboup
6. Andrey E. Polyakov

Citations in the corpus

• Parameter estimation for signals described by differential equations (2009, background): “Discrete-time implementation – These closed-form expressions depend only on iterated integrals of the observed signals, the discrete-time implementation of which is based on the very classical numerical integration (see [20] for an FIR digital filter implementation).”
• Non-asymptotic state estimation for a class of linear time-varying systems with unknown inputs (2014, methodology): “When this algebraic method is used for numerical differentiation problem, thanks to the proposed integral formulae, it also refers to the differentiation by integration method well known for the Lanczos generalized derivative (see [13] p. 324).”