<?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-01862551</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="2026-05-25T02:33:00+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Stability analysis of singularly perturbed switched linear systems</title>
            <author role="aut">
              <persName>
                <forename type="first">Jihene</forename>
                <surname>Ben Rejeb</surname>
              </persName>
              <email type="md5">940a67ea5546c1d33821e6b93cc2848c</email>
              <email type="domain">gmail.com</email>
              <idno type="idhal" notation="string">jihene-ben-rejeb</idno>
              <idno type="idhal" notation="numeric">5932</idno>
              <idno type="halauthorid" notation="string">25289-5932</idno>
              <idno type="IDREF">https://www.idref.fr/220610452</idno>
              <affiliation ref="#struct-185180"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Irinel-Constantin</forename>
                <surname>Morarescu</surname>
              </persName>
              <email type="md5">4a10d3a1a4863a0b429c2b65c72d48bd</email>
              <email type="domain">univ-lorraine.fr</email>
              <idno type="idhal" notation="string">irinel-constantin-morarescu</idno>
              <idno type="idhal" notation="numeric">5210</idno>
              <idno type="halauthorid" notation="string">25849-5210</idno>
              <idno type="IDREF">https://www.idref.fr/114991065</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-8950-8112</idno>
              <orgName ref="#struct-413289"/>
              <affiliation ref="#struct-185180"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Antoine</forename>
                <surname>Girard</surname>
              </persName>
              <email type="md5">6fa4f03028157b90a04b1bc70c0fc5fd</email>
              <email type="domain">l2s.centralesupelec.fr</email>
              <idno type="idhal" notation="string">antoine-girard</idno>
              <idno type="idhal" notation="numeric">7451</idno>
              <idno type="halauthorid" notation="string">29053-7451</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-4075-9041</idno>
              <idno type="IDREF">https://www.idref.fr/084629916</idno>
              <affiliation ref="#struct-1289"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jamal</forename>
                <surname>Daafouz</surname>
              </persName>
              <email type="md5">ee29563b88d1aa691866cc742e830a5f</email>
              <email type="domain">ensem.inpl-nancy.fr</email>
              <idno type="idhal" notation="numeric">936663</idno>
              <idno type="halauthorid" notation="string">133233-936663</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-8313-8790</idno>
              <idno type="IDREF">https://www.idref.fr/122546008</idno>
              <idno type="ISNI">http://isni.org/isni/0000000358227323</idno>
              <idno type="VIAF">https://viaf.org/viaf/203308975</idno>
              <affiliation ref="#struct-185180"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Didier</forename>
                <surname>Maquin</surname>
              </persName>
              <email type="md5">6fd15b6360e132f1cf915e414b10afca</email>
              <email type="domain">univ-lorraine.fr</email>
            </editor>
            <funder ref="#projanr-36362"/>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2018-08-27 14:19:22</date>
              <date type="whenModified">2025-11-04 11:57:57</date>
              <date type="whenReleased">2018-08-27 14:19:22</date>
              <date type="whenProduced">2018-06</date>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="102710">
                <persName>
                  <forename>Didier</forename>
                  <surname>Maquin</surname>
                </persName>
                <email type="md5">6fd15b6360e132f1cf915e414b10afca</email>
                <email type="domain">univ-lorraine.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01862551</idno>
            <idno type="halUri">https://hal.science/hal-01862551</idno>
            <idno type="halBibtex">benrejeb:hal-01862551</idno>
            <idno type="halRefHtml">Tarbouriech, Sophie and Girard, Antoine and Hetel, Laurentiu. &lt;i&gt;Control Subject to Computational and Communication Constraints&lt;/i&gt;, 475, Springer, pp.47-61, 2018, Lecture Notes in Control and Information Sciences, 978-3-319-78448-9. &lt;a target="_blank" href="https://dx.doi.org/10.1007/978-3-319-78449-6_3"&gt;&amp;#x27E8;10.1007/978-3-319-78449-6_3&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Tarbouriech, Sophie and Girard, Antoine and Hetel, Laurentiu. Control Subject to Computational and Communication Constraints, 475, Springer, pp.47-61, 2018, Lecture Notes in Control and Information Sciences, 978-3-319-78448-9. &amp;#x27E8;10.1007/978-3-319-78449-6_3&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-PSUD">Université Paris Sud - Paris XI</idno>
            <idno type="stamp" n="CRAN-CID" corresp="CRAN">CRAN-CID</idno>
            <idno type="stamp" n="CRAN">Centre de Recherche en Automatique de Nancy</idno>
            <idno type="stamp" n="SUP_LSS">Laboratoire des Signaux et Systèmes</idno>
            <idno type="stamp" n="SUP_SYSTEMES" corresp="SUP_LSS">Pôle Systèmes</idno>
            <idno type="stamp" n="CENTRALESUPELEC">Ecole CentraleSupélec</idno>
            <idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</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="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="UNIV-PSUD-SACLAY" corresp="UNIV-PARIS-SACLAY">Université Paris Sud pour Paris Saclay</idno>
            <idno type="stamp" n="CENTRALESUPELEC-SACLAY" corresp="UNIV-PARIS-SACLAY">CENTRALESUPELEC-SACLAY</idno>
            <idno type="stamp" n="ANR">ANR</idno>
            <idno type="stamp" n="GS-ENGINEERING">Graduate School Sciences de l'Ingénierie et des Systèmes</idno>
            <idno type="stamp" n="GS-COMPUTER-SCIENCE">Graduate School Computer Science</idno>
            <idno type="stamp" n="AM2I-UL">Pôle scientifique Automatique, Mathématiques, Informatique et leurs Intéractions de l'Université de Lorraine</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Stability analysis of singularly perturbed switched linear systems</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Jihene</forename>
                    <surname>Ben Rejeb</surname>
                  </persName>
                  <email type="md5">940a67ea5546c1d33821e6b93cc2848c</email>
                  <email type="domain">gmail.com</email>
                  <idno type="idhal" notation="string">jihene-ben-rejeb</idno>
                  <idno type="idhal" notation="numeric">5932</idno>
                  <idno type="halauthorid" notation="string">25289-5932</idno>
                  <idno type="IDREF">https://www.idref.fr/220610452</idno>
                  <affiliation ref="#struct-185180"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Irinel-Constantin</forename>
                    <surname>Morarescu</surname>
                  </persName>
                  <email type="md5">4a10d3a1a4863a0b429c2b65c72d48bd</email>
                  <email type="domain">univ-lorraine.fr</email>
                  <idno type="idhal" notation="string">irinel-constantin-morarescu</idno>
                  <idno type="idhal" notation="numeric">5210</idno>
                  <idno type="halauthorid" notation="string">25849-5210</idno>
                  <idno type="IDREF">https://www.idref.fr/114991065</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-8950-8112</idno>
                  <orgName ref="#struct-413289"/>
                  <affiliation ref="#struct-185180"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Antoine</forename>
                    <surname>Girard</surname>
                  </persName>
                  <email type="md5">6fa4f03028157b90a04b1bc70c0fc5fd</email>
                  <email type="domain">l2s.centralesupelec.fr</email>
                  <idno type="idhal" notation="string">antoine-girard</idno>
                  <idno type="idhal" notation="numeric">7451</idno>
                  <idno type="halauthorid" notation="string">29053-7451</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-4075-9041</idno>
                  <idno type="IDREF">https://www.idref.fr/084629916</idno>
                  <affiliation ref="#struct-1289"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jamal</forename>
                    <surname>Daafouz</surname>
                  </persName>
                  <email type="md5">ee29563b88d1aa691866cc742e830a5f</email>
                  <email type="domain">ensem.inpl-nancy.fr</email>
                  <idno type="idhal" notation="numeric">936663</idno>
                  <idno type="halauthorid" notation="string">133233-936663</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-8313-8790</idno>
                  <idno type="IDREF">https://www.idref.fr/122546008</idno>
                  <idno type="ISNI">http://isni.org/isni/0000000358227323</idno>
                  <idno type="VIAF">https://viaf.org/viaf/203308975</idno>
                  <affiliation ref="#struct-185180"/>
                </author>
              </analytic>
              <monogr>
                <idno type="isbn">978-3-319-78448-9</idno>
                <idno type="localRef">CID</idno>
                <title level="m">Control Subject to Computational and Communication Constraints</title>
                <editor>Tarbouriech</editor>
                <editor>Sophie and Girard</editor>
                <editor>Antoine and Hetel</editor>
                <editor>Laurentiu</editor>
                <imprint>
                  <publisher>Springer</publisher>
                  <pubPlace>Cham</pubPlace>
                  <biblScope unit="serie">Lecture Notes in Control and Information Sciences</biblScope>
                  <biblScope unit="volume">475</biblScope>
                  <biblScope unit="pp">47-61</biblScope>
                  <date type="datePub">2018-06</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1007/978-3-319-78449-6_3</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="spi.auto">Engineering Sciences [physics]/Automatic</classCode>
              <classCode scheme="halTypology" n="COUV">Book sections</classCode>
              <classCode scheme="halOldTypology" n="COUV">Book sections</classCode>
              <classCode scheme="halTreeTypology" n="COUV">Book sections</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>This chapter proposes a methodology for stability analysis of singularly perturbed switched linear systems. We emphasize that, besides the stability of each subsystem, we need a dwell-time condition to guarantee the overall system stability. The main results of this study provide a characterization of an upper bound on the dwell time ensuring the overall system’s stability. Remarkably, this bound is the sum of two terms. The first one is an upper bound on the dwell time ensuring stability of the reduced-order linear switched system, which is zero if all the reduced modes share a common Lyapunov function. The magnitude of the second term is of order of the parameter defining the ratio between the two timescales of the singularly perturbed system.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-185180" status="VALID">
          <idno type="IdRef">03500472X</idno>
          <idno type="ISNI">0000000121518763</idno>
          <idno type="RNSR">200112440X</idno>
          <idno type="IdUnivLorraine">[UL]RSA--</idno>
          <idno type="ROR">https://ror.org/022r5hc56</idno>
          <orgName>Centre de Recherche en Automatique de Nancy</orgName>
          <orgName type="acronym">CRAN</orgName>
          <date type="start">2012-01-01</date>
          <desc>
            <address>
              <addrLine>Université de Lorraine, Campus Sciences, BP 70239, 54506 Vandoeuvre-les-Nancy Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.cran.univ-lorraine.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-413289" type="direct"/>
            <relation name="UMR7039" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-1289" status="OLD">
          <idno type="IdRef">133818799</idno>
          <idno type="RNSR">199812842X</idno>
          <orgName>Laboratoire des signaux et systèmes</orgName>
          <orgName type="acronym">L2S</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.l2s.centralesupelec.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-92966" type="direct"/>
            <relation active="#struct-411575" type="direct"/>
            <relation name="UMR8506" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-413289" status="VALID">
          <idno type="IdRef">157040569</idno>
          <idno type="IdUnivLorraine">[UL]100--</idno>
          <idno type="ROR">https://ror.org/04vfs2w97</idno>
          <orgName>Université de Lorraine</orgName>
          <orgName type="acronym">UL</orgName>
          <date type="start">2012-01-01</date>
          <desc>
            <address>
              <addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-lorraine.fr/</ref>
          </desc>
        </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-92966" status="OLD">
          <idno type="ROR">https://ror.org/028rypz17</idno>
          <orgName>Université Paris-Sud - Paris 11</orgName>
          <orgName type="acronym">UP11</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Bâtiment 300 - 91405 Orsay cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.u-psud.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-411575" status="VALID">
          <idno type="IdRef">184443237</idno>
          <idno type="ROR">https://ror.org/019tcpt25</idno>
          <orgName>CentraleSupélec</orgName>
          <desc>
            <address>
              <addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.centralesupelec.fr</ref>
          </desc>
        </org>
      </listOrg>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-36362" status="VALID">
          <idno type="anr">ANR-13-BS03-0004</idno>
          <idno type="program">Blanc 2013</idno>
          <orgName>COMPACS</orgName>
          <desc>Computation Aware Control Systems</desc>
          <date type="start">2013</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>