Algebraic estimation in partial derivatives systems: parameters and differentiation problems

Rosane Ushirobira (1) , Anja Korporal (2) , Wilfrid Perruquetti (3, 4)

1 VALSE - Finite-time control and estimation for distributed systems
2 RWTH - Rheinisch-Westfälische Technische Hochschule Aachen University
3 Centrale Lille
4 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189

Two goals are sought in this paper: namely, to provide a succinct overview on algebraic techniques for numerical differentiation and parameter estimation for linear systems and to present novel algebraic methods in the case of several variables. The state-of-art in the introduction is followed by a brief description of the methodology in the subsequent sections. Our new algebraic methods are illustrated by two examples in the multidimensional case. Some algebraic preliminaries are given in the appendix.

Mots clés: Partial derivatives systems; Algebraic methods; Parameter estimation; Numerical differentiation

Domaines: Automatique / Robotique

Rosane Ushirobira, Anja Korporal, Wilfrid Perruquetti. Algebraic estimation in partial derivatives systems: parameters and differentiation problems. Alban Quadrat; Eva Zerz. Algebraic and Symbolic Computation Methods in Dynamical Systems, 9, Springer, pp.183-200, 2020, Advances in Delays and Dynamics. ⟨hal-01617321⟩