On Symbolic Approaches to Integro-Differential Equations
Identifieur interne : 000017 ( Main/Exploration ); précédent : 000016; suivant : 000018On Symbolic Approaches to Integro-Differential Equations
Auteurs : François Boulier [France] ; François Lemaire [France] ; Markus Rosenkranz [Royaume-Uni] ; Rosane Ushirobira [France] ; Nathalie Verdière [France]Source :
English descriptors
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.
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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>
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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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<tree><country name="France"><noRegion><name sortKey="Boulier, Francois" sort="Boulier, Francois" uniqKey="Boulier F" first="François" last="Boulier">François Boulier</name>
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