Algebraic estimation in partial derivatives systems: parameters and differentiation problems

Rosane Ushirobira 1 Anja Korporal 1 Wilfrid Perruquetti 1
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : 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.
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Rosane Ushirobira, Anja Korporal, Wilfrid Perruquetti. Algebraic estimation in partial derivatives systems: parameters and differentiation problems. Silviu-Iulian Niculescu; Thomas Ditzinger Advances in Delays and Dynamics, Springer, 2017. ⟨hal-01617321⟩

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