On Symbolic Approaches to Integro-Differential Equations
Identifieur interne : 000018 ( Hal/Checkpoint ); précédent : 000017; suivant : 000019On Symbolic Approaches to Integro-Differential Equations
Auteurs : François Boulier [France] ; François Lemaire [France] ; Markus Rosenkranz [Royaume-Uni] ; Rosane Ushirobira [France] ; Nathalie Verdière [France]Source :
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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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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></front></TEI><hal api="V3"><titleStmt><title xml:lang="en">On Symbolic Approaches to Integro-Differential Equations</title><title xml:lang="fr">Au Sujet des Approches Symboliques des Équations Intégro-Différentielles</title><author role="aut"><persName><forename type="first">François</forename><surname>Boulier</surname></persName><email>francois.boulier@univ-lille1.fr</email><idno type="idhal">boulier</idno><idno type="halauthor">620639</idno><affiliation ref="#struct-410272"></affiliation></author><author role="aut"><persName><forename type="first">François</forename><surname>Lemaire</surname></persName><email>francois.lemaire@univ-lille1.fr</email><idno type="idhal">francois-lemaire</idno><idno type="halauthor">1262823</idno><affiliation ref="#struct-410272"></affiliation></author><author role="aut"><persName><forename type="first">Markus</forename><surname>Rosenkranz</surname></persName><email></email><idno type="halauthor">852935</idno><affiliation ref="#struct-300739"></affiliation></author><author role="aut"><persName><forename type="first">Rosane</forename><surname>Ushirobira</surname></persName><email></email><idno type="halauthor">452418</idno><affiliation ref="#struct-432039"></affiliation></author><author role="aut"><persName><forename type="first">Nathalie</forename><surname>Verdière</surname></persName><email>Nathalie.Verdiere@univ-lehavre.fr</email><idno type="halauthor">1383717</idno><affiliation ref="#struct-87"></affiliation></author><editor role="depositor"><persName><forename>François</forename><surname>Boulier</surname></persName><email>francois.boulier@univ-lille1.fr</email></editor></titleStmt><editionStmt><edition n="v1"><date type="whenSubmitted">2016-09-15 16:43:03</date></edition><edition n="v2" type="current"><date type="whenSubmitted">2016-10-18 17:19:39</date><date type="whenWritten">2016-03</date><date type="whenModified">2016-10-20 01:04:58</date><date type="whenReleased">2016-10-19 14:13:46</date><date type="whenProduced">2016-03</date><date type="whenEndEmbargoed">2016-10-18</date><ref type="file" target="https://hal.archives-ouvertes.fr/hal-01367138v2/document"><date notBefore="2016-10-18"></date></ref><ref type="file" subtype="author" n="1" target="https://hal.archives-ouvertes.fr/hal-01367138/file/BLRUV.pdf"><date notBefore="2016-10-18"></date></ref></edition><respStmt><resp>contributor</resp><name key="117168"><persName><forename>François</forename><surname>Boulier</surname></persName><email>francois.boulier@univ-lille1.fr</email></name></respStmt></editionStmt><publicationStmt><distributor>CCSD</distributor><idno type="halId">hal-01367138</idno><idno type="halUri">https://hal.archives-ouvertes.fr/hal-01367138</idno><idno type="halBibtex">boulier:hal-01367138</idno><idno type="halRefHtml">2016</idno><idno type="halRef">2016</idno></publicationStmt><seriesStmt><idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno><idno type="stamp" n="UNIV-LEHAVRE">Université du Havre</idno><idno type="stamp" n="EC-LILLE">Ecole Centrale de Lille</idno><idno type="stamp" n="INRIA-LILLE">INRIA Lille - Nord Europe</idno><idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno><idno type="stamp" n="COMUE-NORMANDIE">Normandie Université</idno><idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno><idno type="stamp" n="CRISTAL" p="UNIV-LILLE3">Centre de Recherche en Informatique, Signal et Automatique de Lille (CRISTAL)</idno><idno type="stamp" n="UNIV-LILLE3">Université de Lille Sciences humaines et sociales</idno></seriesStmt><notesStmt></notesStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">On Symbolic Approaches to Integro-Differential Equations</title><title xml:lang="fr">Au Sujet des Approches Symboliques des Équations Intégro-Différentielles</title><author role="aut"><persName><forename type="first">François</forename><surname>Boulier</surname></persName><email>francois.boulier@univ-lille1.fr</email><idno type="idHal">boulier</idno><idno type="halAuthorId">620639</idno><affiliation ref="#struct-410272"></affiliation></author><author role="aut"><persName><forename type="first">François</forename><surname>Lemaire</surname></persName><email>francois.lemaire@univ-lille1.fr</email><idno type="idHal">francois-lemaire</idno><idno type="halAuthorId">1262823</idno><affiliation ref="#struct-410272"></affiliation></author><author role="aut"><persName><forename type="first">Markus</forename><surname>Rosenkranz</surname></persName><idno type="halAuthorId">852935</idno><affiliation ref="#struct-300739"></affiliation></author><author role="aut"><persName><forename type="first">Rosane</forename><surname>Ushirobira</surname></persName><idno type="halAuthorId">452418</idno><affiliation ref="#struct-432039"></affiliation></author><author role="aut"><persName><forename type="first">Nathalie</forename><surname>Verdière</surname></persName><email>Nathalie.Verdiere@univ-lehavre.fr</email><idno type="halAuthorId">1383717</idno><affiliation ref="#struct-87"></affiliation></author></analytic><monogr><imprint></imprint></monogr></biblStruct></sourceDesc><profileDesc><langUsage><language ident="en">English</language></langUsage><textClass><keywords scheme="author"><term xml:lang="en">computer algebra </term><term xml:lang="en"> integro-differential </term><term xml:lang="en"> elimination theory </term><term xml:lang="en"> parameter estimation</term></keywords><classCode scheme="halDomain" n="info.info-sc">Computer Science [cs]/Symbolic Computation [cs.SC]</classCode><classCode scheme="halTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode></textClass><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.</abstract><abstract xml:lang="fr">Un résultat récent en calcul formel a ouvert de nouvelles opportunités pour l'estimation de paramètres en théorie du contrôle non linéaire, via des équations entrée-sortie intégro-différentielles. Ce chapitre rappelle les origines des équations intégro-différentielles. Il présente de nouvelles opportunités en théorie du contrôle non linéaire. Finalement, il passe en revue des approches théoriques récentes sur les algèbres intégro-différentielles, illustrant ce qu'une méthode d'élimination intégro-différentielle pourrait être et les bénéfices que le problème de l'estimation de paramètres pourrait en tirer. </abstract></profileDesc></hal></record>Pour manipuler ce document sous Unix (Dilib)
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