methodes-formelles co2 cfhp

A parametric differential system admitting an integral input-output equation with a fraction

17 septembre 2026 à 10h15

François Lemaire

Abstract:

This talk is motivated by the parameter estimation problem in control theory. The so-called input-output (I/O) differential equations are a classical tool for estimating the parameters of a parametric differential systems, assuming some experimental data are available. We present a new simple system which admits an original integral I/O equation involving nested fractions and integral terms. This result is a contribution to the much more general problem: is it possible to develop a complete elimination theory using integral equations ?

Room Rubis, ESPRIT

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