<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-01739797</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-22T02:51:27+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Set-membership functional diagnosability: Definitions and analysis</title>
            <author role="aut">
              <persName>
                <forename type="first">Carine</forename>
                <surname>Jauberthie</surname>
              </persName>
              <email type="md5">b92e1f1b2d798ce852e34b89553c5bed</email>
              <email type="domain">laas.fr</email>
              <idno type="idhal" notation="string">carine-jauberthie</idno>
              <idno type="idhal" notation="numeric">13939</idno>
              <idno type="halauthorid" notation="string">25117-13939</idno>
              <idno type="IDREF">https://www.idref.fr/073367826</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-8481-8840</idno>
              <affiliation ref="#struct-389059"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Nathalie</forename>
                <surname>Verdière</surname>
              </persName>
              <email type="md5">fb401fc9374156e6e8633948508e143a</email>
              <email type="domain">univ-lehavre.fr</email>
              <idno type="idhal" notation="numeric">989014</idno>
              <idno type="halauthorid" notation="string">25991-989014</idno>
              <affiliation ref="#struct-87"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Louise</forename>
                <surname>Travé-Massuyès</surname>
              </persName>
              <email type="md5">591b13508b6161c6797e60eb5c903a9d</email>
              <email type="domain">laas.fr</email>
              <idno type="idhal" notation="string">louise-trave-massuyes</idno>
              <idno type="idhal" notation="numeric">14341</idno>
              <idno type="halauthorid" notation="string">25874-14341</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-5322-8418</idno>
              <idno type="IDREF">https://www.idref.fr/035036672</idno>
              <affiliation ref="#struct-389059"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Carine</forename>
                <surname>Jauberthie</surname>
              </persName>
              <email type="md5">28f3d3a71cf6fca2b8c1a6cae236b115</email>
              <email type="domain">laas.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2018-11-21 22:59:35</date>
              <date type="whenModified">2025-10-22 18:04:08</date>
              <date type="whenReleased">2018-12-03 09:09:56</date>
              <date type="whenProduced">2016-09-07</date>
              <date type="whenEndEmbargoed">2018-11-21</date>
              <ref type="file" target="https://hal.science/hal-01739797v1/document">
                <date notBefore="2018-11-21"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-01739797v1/file/108_CJ_NV_LTM_final.pdf" id="file-1930432-1959278">
                <date notBefore="2018-11-21"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="411989">
                <persName>
                  <forename>Carine</forename>
                  <surname>Jauberthie</surname>
                </persName>
                <email type="md5">28f3d3a71cf6fca2b8c1a6cae236b115</email>
                <email type="domain">laas.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01739797</idno>
            <idno type="halUri">https://hal.science/hal-01739797</idno>
            <idno type="halBibtex">jauberthie:hal-01739797</idno>
            <idno type="halRefHtml">&lt;i&gt;2016 Conference on Control and Fault-Tolerant Systems (SysTol)&lt;/i&gt;, Sep 2016, Barcelona, Spain. &lt;a target="_blank" href="https://dx.doi.org/10.1109/SYSTOL.2016.7739794"&gt;&amp;#x27E8;10.1109/SYSTOL.2016.7739794&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">2016 Conference on Control and Fault-Tolerant Systems (SysTol), Sep 2016, Barcelona, Spain. &amp;#x27E8;10.1109/SYSTOL.2016.7739794&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-1930432-1959278"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-TLSE2">Université Toulouse 2</idno>
            <idno type="stamp" n="UNIV-TLSE3">Université de Toulouse</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INSA-TOULOUSE">Institut National des Sciences Appliquées de Toulouse</idno>
            <idno type="stamp" n="LAAS">Laboratoire d'analyse et d'architecture des systèmes</idno>
            <idno type="stamp" n="SANTE_PUB_INSERM" corresp="INSERM">Santé Publique à l'Inserm</idno>
            <idno type="stamp" n="UT1-CAPITOLE">Université Toulouse 1 Capitole</idno>
            <idno type="stamp" n="LAAS-DISCO" corresp="LAAS-DECISION-ET-OPTIMISATION">Equipe diagnostic, supervision et COnduite</idno>
            <idno type="stamp" n="COMUE-NORMANDIE">Normandie Université</idno>
            <idno type="stamp" n="LAAS-DECISION-ET-OPTIMISATION" corresp="LAAS">LAAS-Décision et Optimisation</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="UNILEHAVRE">Université Le Havre Normandie</idno>
            <idno type="stamp" n="LMAH">Laboratoire de Mathématiques Appliquées du Havre</idno>
            <idno type="stamp" n="INSA-GROUPE">Groupe INSA</idno>
            <idno type="stamp" n="TOULOUSE-INP">Toulouse - INP</idno>
            <idno type="stamp" n="UNIV-UT3">Université Toulouse 3</idno>
            <idno type="stamp" n="UT3-INP">Université de Toulouse / Toulouse INP</idno>
            <idno type="stamp" n="UT3-TOULOUSEINP">Université de Toulouse / Toulouse INP</idno>
            <idno type="stamp" n="TEST7-HALCNRS">test 7 du portail hal cnrs</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="invited" n="0">No</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
            <note type="proceedings" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Set-membership functional diagnosability: Definitions and analysis</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Carine</forename>
                    <surname>Jauberthie</surname>
                  </persName>
                  <email type="md5">b92e1f1b2d798ce852e34b89553c5bed</email>
                  <email type="domain">laas.fr</email>
                  <idno type="idhal" notation="string">carine-jauberthie</idno>
                  <idno type="idhal" notation="numeric">13939</idno>
                  <idno type="halauthorid" notation="string">25117-13939</idno>
                  <idno type="IDREF">https://www.idref.fr/073367826</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-8481-8840</idno>
                  <affiliation ref="#struct-389059"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Nathalie</forename>
                    <surname>Verdière</surname>
                  </persName>
                  <email type="md5">fb401fc9374156e6e8633948508e143a</email>
                  <email type="domain">univ-lehavre.fr</email>
                  <idno type="idhal" notation="numeric">989014</idno>
                  <idno type="halauthorid" notation="string">25991-989014</idno>
                  <affiliation ref="#struct-87"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Louise</forename>
                    <surname>Travé-Massuyès</surname>
                  </persName>
                  <email type="md5">591b13508b6161c6797e60eb5c903a9d</email>
                  <email type="domain">laas.fr</email>
                  <idno type="idhal" notation="string">louise-trave-massuyes</idno>
                  <idno type="idhal" notation="numeric">14341</idno>
                  <idno type="halauthorid" notation="string">25874-14341</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-5322-8418</idno>
                  <idno type="IDREF">https://www.idref.fr/035036672</idno>
                  <affiliation ref="#struct-389059"/>
                </author>
              </analytic>
              <monogr>
                <idno type="localRef">Rapport LAAS n° 16637</idno>
                <meeting>
                  <title>2016 Conference on Control and Fault-Tolerant Systems (SysTol)</title>
                  <date type="start">2016-09-07</date>
                  <date type="end">2016-09-09</date>
                  <settlement>Barcelona</settlement>
                  <country key="ES">Spain</country>
                </meeting>
                <imprint>
                  <publisher>IEEE</publisher>
                  <biblScope unit="serie"> 2016 3rd Conference on Control and Fault-Tolerant Systems (SysTol)</biblScope>
                  <date type="datePub">2016-09</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1109/SYSTOL.2016.7739794</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="math.math-ds">Mathematics [math]/Dynamical Systems [math.DS]</classCode>
              <classCode scheme="halDomain" n="math.math-na">Mathematics [math]/Numerical Analysis [math.NA]</classCode>
              <classCode scheme="halDomain" n="math.math-oc">Mathematics [math]/Optimization and Control [math.OC]</classCode>
              <classCode scheme="halDomain" n="spi.signal">Engineering Sciences [physics]/Signal and Image processing</classCode>
              <classCode scheme="halDomain" n="spi.auto">Engineering Sciences [physics]/Automatic</classCode>
              <classCode scheme="halDomain" n="sdv.spee">Life Sciences [q-bio]/Santé publique et épidémiologie</classCode>
              <classCode scheme="halTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halOldTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halTreeTypology" n="COMM">Conference papers</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>This paper introduces the concept of functional diagnosability for nonlinear dynamical uncertain models. Set-membership functional diagnosability is based on the notion of functional signature introduced in [11] extended to the set-membership framework. The link between functional diagnosability and set-membership functional diagnosability is established. Contrary to classical definitions, the study of functional diagnosability highlights some of the residual properties related to the fault acting on the system in time. Set-membership functional diagnosability extends this concept to bounded faults, i.e. faults whose magnitude is unknown but belongs to a bounded set. Numerical simulations for a system based on water tanks illustrate the potential of set-membership functional diagnosability.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="researchteam" xml:id="struct-389059" status="OLD">
          <orgName>Équipe DIagnostic, Supervision et COnduite</orgName>
          <orgName type="acronym">LAAS-DISCO</orgName>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.laas.fr/public/fr/disco</ref>
          </desc>
          <listRelation>
            <relation active="#struct-459" type="direct"/>
            <relation active="#struct-81148" type="indirect"/>
            <relation name="443875" active="#struct-443875" type="indirect"/>
            <relation active="#struct-116255" type="indirect"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation active="#struct-116256" type="indirect"/>
            <relation active="#struct-217752" type="indirect"/>
            <relation name="UPR8001" active="#struct-441569" type="indirect"/>
            <relation active="#struct-448187" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-87" status="OLD">
          <idno type="IdRef">189768495</idno>
          <idno type="RNSR">200415081E</idno>
          <orgName>Laboratoire de Mathématiques Appliquées du Havre</orgName>
          <orgName type="acronym">LMAH</orgName>
          <date type="start">2004-01-01</date>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>25 rue Philippe Lebon  BP 1123 76063 Le Havre Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www-lmah.univ-lehavre.fr</ref>
          </desc>
          <listRelation>
            <relation name="EA3821" active="#struct-300317" type="direct"/>
            <relation active="#struct-455934" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-459" status="OLD">
          <idno type="IdRef">199278792</idno>
          <idno type="ISNI">0000 0001 2188 216X </idno>
          <idno type="RNSR">199517454Y</idno>
          <idno type="ROR">https://ror.org/03vcm6439</idno>
          <orgName>Laboratoire d'analyse et d'architecture des systèmes</orgName>
          <orgName type="acronym">LAAS</orgName>
          <date type="start">1968-01-01</date>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>7 Av du colonel Roche 31077 TOULOUSE CEDEX 4</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.laas.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-81148" type="direct"/>
            <relation name="443875" active="#struct-443875" type="indirect"/>
            <relation active="#struct-116255" type="direct"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation active="#struct-116256" type="direct"/>
            <relation active="#struct-217752" type="direct"/>
            <relation name="UPR8001" active="#struct-441569" type="direct"/>
            <relation active="#struct-448187" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-81148" status="VALID">
          <idno type="IdRef">026404354</idno>
          <idno type="ISNI">0000000121902837</idno>
          <idno type="ROR">https://ror.org/0443n9e75</idno>
          <orgName>Université Toulouse Capitole</orgName>
          <orgName type="acronym">UT Capitole</orgName>
          <date type="start">1970-01-01</date>
          <desc>
            <address>
              <addrLine>2 rue du Doyen-Gabriel-Marty - 31042 Toulouse Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ut-capitole.fr/</ref>
          </desc>
          <listRelation>
            <relation name="443875" active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-443875" status="VALID">
          <idno type="ROR">https://ror.org/017tgbk05</idno>
          <orgName>Communauté d'universités et établissements de Toulouse</orgName>
          <orgName type="acronym">Comue de Toulouse</orgName>
          <desc>
            <address>
              <addrLine>41 Allée Jules Guesde, 31000 Toulouse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-toulouse.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-116255" status="VALID">
          <idno type="IdRef">026388766</idno>
          <idno type="ISNI">0000 0001 2286 8343</idno>
          <idno type="ROR">https://ror.org/01h8pf755</idno>
          <idno type="Wikidata">Q858979</idno>
          <orgName>Institut National des Sciences Appliquées - Toulouse</orgName>
          <orgName type="acronym">INSA Toulouse</orgName>
          <date type="start">1963-10-21</date>
          <desc>
            <address>
              <addrLine>135, avenue de Rangueil - 31077 Toulouse cedex 4</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.insa-toulouse.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301232" type="direct"/>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-301232" status="VALID">
          <idno type="IdRef">162105150</idno>
          <orgName>Institut National des Sciences Appliquées</orgName>
          <orgName type="acronym">INSA</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-116256" status="VALID">
          <idno type="IdRef">026403994</idno>
          <idno type="ROR">https://ror.org/04ezk3x31</idno>
          <orgName>Université Toulouse - Jean Jaurès</orgName>
          <orgName type="acronym">UT2J</orgName>
          <date type="start">1971-01-01</date>
          <desc>
            <address>
              <addrLine>5 allées Antonio Machado - 31058 Toulouse Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-tlse2.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-217752" status="OLD">
          <idno type="IdRef">026404672</idno>
          <idno type="ISNI">0000000121617331</idno>
          <idno type="ROR">https://ror.org/02v6kpv12</idno>
          <idno type="Wikidata">Q1273188</idno>
          <orgName>Université Toulouse III - Paul Sabatier</orgName>
          <orgName type="acronym">UT3</orgName>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>118 route de Narbonne - 31062 Toulouse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-tlse3.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-448187" status="VALID">
          <idno type="IdRef">026388820</idno>
          <idno type="ISNI">0000000121766169</idno>
          <idno type="ROR">https://ror.org/033p9g875</idno>
          <orgName>Institut National Polytechnique (Toulouse)</orgName>
          <orgName type="acronym">Toulouse INP</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.inp-toulouse.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300317" status="VALID">
          <idno type="IdRef">031308570</idno>
          <idno type="ISNI">0000000121731046</idno>
          <idno type="ROR">https://ror.org/05v509s40</idno>
          <orgName>Université Le Havre Normandie</orgName>
          <orgName type="acronym">ULH</orgName>
          <date type="start">1984-08-27</date>
          <desc>
            <address>
              <addrLine>25 rue Philippe Lebon - BP 1123 - 76063 Le Havre Cedex France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-lehavre.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-455934" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-455934" status="VALID">
          <idno type="IdRef">190906332</idno>
          <idno type="ISNI">0000000417859671 </idno>
          <idno type="ROR">https://ror.org/01k40cz91</idno>
          <orgName>Normandie Université</orgName>
          <orgName type="acronym">NU</orgName>
          <date type="start">2015-01-01</date>
          <desc>
            <address>
              <addrLine>Esplanade de la Paix - CS 14032 - 14032 Caen Cedex 5</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.normandie-univ.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>