LeHavreV1, France, Analysis, bibRecord, 000017

On Symbolic Approaches to Integro-Differential Equations

Identifieur interne : 000017 ( France/Analysis ); précédent : 000016; suivant : 000018

On Symbolic Approaches to Integro-Differential Equations

Auteurs : François Boulier [France] ; François Lemaire [France] ; Markus Rosenkranz [Royaume-Uni] ; Rosane Ushirobira [France] ; Nathalie Verdière [France]

Source :

RBID : Hal:hal-01367138

English descriptors

mix :
- elimination theory , integro-differential , parameter estimation, computer algebra .

Abstract

Recent progress in computer algebra has opened new opportunities for the parameter estimation problem in nonlinear control theory, by means of integro-differential input-output equations. This paper recalls the origin of integro-differential equations. It presents new opportunities in nonlinear control theory. Finally, it reviews related recent theoretical approaches on integro-differential algebras, illustrating what an integro-differential elimination method might be and what benefits the parameter estimation problem would gain from it.

Url:

https://hal.archives-ouvertes.fr/hal-01367138

Affiliations:

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Hal:hal-01367138

Le document en format XML

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<author><name sortKey="Verdiere, Nathalie" sort="Verdiere, Nathalie" uniqKey="Verdiere N" first="Nathalie" last="Verdière">Nathalie Verdière</name>
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<profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term> elimination theory </term>
<term> integro-differential </term>
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<front><div type="abstract" xml:lang="en">Recent progress in computer algebra has opened new opportunities for the parameter estimation problem in nonlinear control theory, by means of integro-differential input-output equations. This paper recalls the origin of integro-differential equations. It presents new opportunities in nonlinear control theory. Finally, it reviews related recent theoretical approaches on integro-differential algebras, illustrating what an integro-differential elimination method might be and what benefits the parameter estimation problem would gain from it.</div>
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<country name="Royaume-Uni"><noRegion><name sortKey="Rosenkranz, Markus" sort="Rosenkranz, Markus" uniqKey="Rosenkranz M" first="Markus" last="Rosenkranz">Markus Rosenkranz</name>
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On Symbolic Approaches to Integro-Differential Equations

On Symbolic Approaches to Integro-Differential Equations

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