<?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-04345255</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="2026-05-18T18:21:41+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Two-term large-time asymptotic expansion of the value function for dissipative nonlinear optimal control problems</title>
            <author role="aut">
              <persName>
                <forename type="first">Veljko</forename>
                <surname>Askovic</surname>
              </persName>
              <email type="md5">60fdbc5e87779a40427be9700259e7ff</email>
              <email type="domain">hotmail.com</email>
              <idno type="idhal" notation="numeric">1072672</idno>
              <idno type="halauthorid" notation="string">1966226-1072672</idno>
              <idno type="IDREF">https://www.idref.fr/275806820</idno>
              <affiliation ref="#struct-244633"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Emmanuel</forename>
                <surname>Trélat</surname>
              </persName>
              <email type="md5">b519ee3872f750130252e6ae4b8eaed7</email>
              <email type="domain">sorbonne-universite.fr</email>
              <idno type="idhal" notation="string">emmanueltrelat</idno>
              <idno type="idhal" notation="numeric">649</idno>
              <idno type="halauthorid" notation="string">2615-649</idno>
              <idno type="IDREF">https://www.idref.fr/087796465</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-0656-7003</idno>
              <idno type="VIAF">https://viaf.org/viaf/12565489</idno>
              <idno type="ISNI">http://isni.org/isni/0000000026175141</idno>
              <affiliation ref="#struct-1005052"/>
              <affiliation ref="#struct-1005054"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Hasnaa</forename>
                <surname>Zidani</surname>
              </persName>
              <email type="md5">bbfaff388c81bea32d31e1147e4d4d0d</email>
              <email type="domain">insa-rouen.fr</email>
              <idno type="idhal" notation="string">hasnaa-zidani</idno>
              <idno type="idhal" notation="numeric">565</idno>
              <idno type="halauthorid" notation="string">8905-565</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-3583-6863</idno>
              <idno type="IDREF">https://www.idref.fr/115287396</idno>
              <affiliation ref="#struct-1087783"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Emmanuel</forename>
                <surname>Trélat</surname>
              </persName>
              <email type="md5">b519ee3872f750130252e6ae4b8eaed7</email>
              <email type="domain">sorbonne-universite.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2023-12-14 16:00:20</date>
              <date type="whenModified">2025-10-27 10:52:02</date>
              <date type="whenReleased">2023-12-15 09:57:58</date>
              <date type="whenProduced">2024</date>
              <date type="whenEndEmbargoed">2023-12-14</date>
              <ref type="file" target="https://hal.science/hal-04345255v1/document">
                <date notBefore="2023-12-14"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-04345255v1/file/ATZ_hal.pdf" id="file-4345255-3783916">
                <date notBefore="2023-12-14"/>
              </ref>
              <ref type="externalLink" target="http://arxiv.org/pdf/2312.09616"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="112181">
                <persName>
                  <forename>Emmanuel</forename>
                  <surname>Trélat</surname>
                </persName>
                <email type="md5">b519ee3872f750130252e6ae4b8eaed7</email>
                <email type="domain">sorbonne-universite.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-04345255</idno>
            <idno type="halUri">https://hal.science/hal-04345255</idno>
            <idno type="halBibtex">askovic:hal-04345255</idno>
            <idno type="halRefHtml">&lt;i&gt;Mathematical Control and Related Fields&lt;/i&gt;, 2024, 14 (4), pp.1501--1516. &lt;a target="_blank" href="https://dx.doi.org/10.3934/mcrf.2024041"&gt;&amp;#x27E8;10.3934/mcrf.2024041&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Mathematical Control and Related Fields, 2024, 14 (4), pp.1501--1516. &amp;#x27E8;10.3934/mcrf.2024041&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-4345255-3783916"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="INSA-ROUEN">Institut National des Sciences Appliquées de Rouen</idno>
            <idno type="stamp" n="INRIA-ROCQ">INRIA Paris - Rocquencourt</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="LJLL" corresp="SORBONNE-UNIVERSITE">Laboratoire Jacques-Louis Lions</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="COMUE-NORMANDIE">Normandie Université</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="LMI-ROUEN">Laboratoire de Mathématiques de l'INSA Rouen - Normandie Université - INSA Rouen</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="INSA-GROUPE">Groupe INSA</idno>
            <idno type="stamp" n="SORBONNE-UNIVERSITE">Sorbonne Université</idno>
            <idno type="stamp" n="SORBONNE-UNIV" corresp="SORBONNE-UNIVERSITE">Sorbonne Université 01/01/2018</idno>
            <idno type="stamp" n="SU-SCIENCES" corresp="SORBONNE-UNIVERSITE">Faculté des Sciences de Sorbonne Université</idno>
            <idno type="stamp" n="UNIV-PARIS">Université Paris Cité</idno>
            <idno type="stamp" n="UNIVERSITE-PARIS" corresp="UNIV-PARIS">Université Paris Cité</idno>
            <idno type="stamp" n="UP-SCIENCES">Université Paris Cité - Faculté des Sciences</idno>
            <idno type="stamp" n="SU-TI">Sorbonne Université - Texte Intégral</idno>
            <idno type="stamp" n="ALLIANCE-SU"> Alliance Sorbonne Université</idno>
            <idno type="stamp" n="CHAIRE_COPTI">Chaire COPTI</idno>
            <idno type="stamp" n="SUPRA_MATHS_INFO">Mathématiques + Informatique</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Two-term large-time asymptotic expansion of the value function for dissipative nonlinear optimal control problems</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Veljko</forename>
                    <surname>Askovic</surname>
                  </persName>
                  <email type="md5">60fdbc5e87779a40427be9700259e7ff</email>
                  <email type="domain">hotmail.com</email>
                  <idno type="idhal" notation="numeric">1072672</idno>
                  <idno type="halauthorid" notation="string">1966226-1072672</idno>
                  <idno type="IDREF">https://www.idref.fr/275806820</idno>
                  <affiliation ref="#struct-244633"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Emmanuel</forename>
                    <surname>Trélat</surname>
                  </persName>
                  <email type="md5">b519ee3872f750130252e6ae4b8eaed7</email>
                  <email type="domain">sorbonne-universite.fr</email>
                  <idno type="idhal" notation="string">emmanueltrelat</idno>
                  <idno type="idhal" notation="numeric">649</idno>
                  <idno type="halauthorid" notation="string">2615-649</idno>
                  <idno type="IDREF">https://www.idref.fr/087796465</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-0656-7003</idno>
                  <idno type="VIAF">https://viaf.org/viaf/12565489</idno>
                  <idno type="ISNI">http://isni.org/isni/0000000026175141</idno>
                  <affiliation ref="#struct-1005052"/>
                  <affiliation ref="#struct-1005054"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Hasnaa</forename>
                    <surname>Zidani</surname>
                  </persName>
                  <email type="md5">bbfaff388c81bea32d31e1147e4d4d0d</email>
                  <email type="domain">insa-rouen.fr</email>
                  <idno type="idhal" notation="string">hasnaa-zidani</idno>
                  <idno type="idhal" notation="numeric">565</idno>
                  <idno type="halauthorid" notation="string">8905-565</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-3583-6863</idno>
                  <idno type="IDREF">https://www.idref.fr/115287396</idno>
                  <affiliation ref="#struct-1087783"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">66852</idno>
                <idno type="issn">2156-8472</idno>
                <idno type="eissn">2156-8499</idno>
                <title level="j">Mathematical Control and Related Fields</title>
                <imprint>
                  <publisher>AIMS</publisher>
                  <biblScope unit="volume">14</biblScope>
                  <biblScope unit="issue">4</biblScope>
                  <biblScope unit="pp">1501--1516</biblScope>
                  <date type="datePub">2024</date>
                </imprint>
              </monogr>
              <idno type="arxiv">2312.09616</idno>
              <idno type="doi">10.3934/mcrf.2024041</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="math.math-oc">Mathematics [math]/Optimization and Control [math.OC]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>Considering a general nonlinear dissipative finite dimensional optimal control problem in fixed time horizon T , we establish a two-term asymptotic expansion of the value function as $T\rightarrow+\infty$. The dominating term is T times the optimal value obtained from the optimal static problem within the classical turnpike theory. The second term, of order unity, is interpreted as the sum of two values associated with optimal stabilization problems related to the turnpike.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="institution" xml:id="struct-244633" status="VALID">
          <orgName>MBDA France [Le Plessis Robinson]</orgName>
          <desc>
            <address>
              <addrLine>1, avenue Réaumur 92350 Le Plessis Robinson</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.mbda-systems.com/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-1005052" status="VALID">
          <idno type="IdRef">099222221</idno>
          <idno type="ISNI">0000000101748385</idno>
          <idno type="RNSR">199712644L</idno>
          <idno type="ROR">https://ror.org/04xmteb38</idno>
          <orgName>Laboratoire Jacques-Louis Lions</orgName>
          <orgName type="acronym">LJLL (UMR_7598)</orgName>
          <date type="start">2020-01-01</date>
          <desc>
            <address>
              <addrLine>Sorbonne-Université, Boîte courrier 187 - 75252 Paris Cedex 05</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.ljll.math.upmc.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-413221" type="direct"/>
            <relation name="UMR7598" active="#struct-441569" type="direct"/>
            <relation name="UMR_7598" active="#struct-557826" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-1005054" status="VALID">
          <idno type="RNSR">201722536B</idno>
          <idno type="ROR">https://ror.org/05fg1yv24</idno>
          <orgName>Control And GEometry</orgName>
          <orgName type="acronym">CaGE</orgName>
          <date type="start">2020-01-01</date>
          <date type="end">2026-12-31</date>
          <desc>
            <address>
              <addrLine>4 place Jussieu 75005 Paris</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-1005052" type="direct"/>
            <relation active="#struct-413221" type="indirect"/>
            <relation name="UMR7598" active="#struct-441569" type="indirect"/>
            <relation name="UMR_7598" active="#struct-557826" type="indirect"/>
            <relation active="#struct-1175218" type="direct"/>
            <relation active="#struct-454310" type="indirect"/>
            <relation active="#struct-300009" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-1087783" status="VALID">
          <idno type="IdRef">08552896X</idno>
          <idno type="RNSR">200014524S</idno>
          <idno type="ROR">https://ror.org/009rwsd77</idno>
          <orgName>Laboratoire de Mathématiques de l'INSA de Rouen Normandie</orgName>
          <orgName type="acronym">LMI</orgName>
          <date type="start">2022-01-01</date>
          <desc>
            <address>
              <addrLine>685 Avenue de l'Université76800 Saint-Etienne-du-Rouvray</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://lmi.insa-rouen.fr/</ref>
          </desc>
          <listRelation>
            <relation name="UR 3226" active="#struct-301288" type="direct"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-455934" type="indirect"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-413221" status="VALID">
          <idno type="IdRef">221333754</idno>
          <idno type="ROR">https://ror.org/02en5vm52</idno>
          <orgName>Sorbonne Université</orgName>
          <orgName type="acronym">SU</orgName>
          <date type="start">2018-01-01</date>
          <desc>
            <address>
              <addrLine>21 rue de l’École de médecine - 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.sorbonne-universite.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-557826" status="VALID">
          <idno type="IdRef">236453505</idno>
          <idno type="ISNI">0000 0004 7885 7602</idno>
          <idno type="ROR">https://ror.org/05f82e368</idno>
          <orgName>Université Paris Cité</orgName>
          <orgName type="acronym">UPCité</orgName>
          <date type="start">2020-01-01</date>
          <desc>
            <address>
              <addrLine>85 boulevard Saint-Germain75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://u-paris.fr/</ref>
          </desc>
        </org>
        <org type="department" xml:id="struct-1175218" status="VALID">
          <idno type="ROR">https://ror.org/03cjm2544</idno>
          <orgName>Centre Inria de Sorbonne Université</orgName>
          <date type="start">2022-11-01</date>
          <desc>
            <address>
              <addrLine>48 Rue Barrault, 75013 Paris</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-454310" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-454310" status="VALID">
          <idno type="IdRef">241614864</idno>
          <idno type="RNSR">196718247G</idno>
          <idno type="ROR">https://ror.org/05eyd5d35</idno>
          <orgName>Centre Inria de Paris</orgName>
          <date type="start">2016-03-10</date>
          <desc>
            <address>
              <addrLine>48 Rue Barrault, 75013 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/paris</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-301288" status="VALID">
          <idno type="IdRef">033364346</idno>
          <idno type="ISNI">0000000121908462</idno>
          <idno type="ROR">https://ror.org/020ws7586</idno>
          <orgName>Institut national des sciences appliquées Rouen Normandie</orgName>
          <orgName type="acronym">INSA Rouen Normandie</orgName>
          <date type="start">1985-01-01</date>
          <desc>
            <address>
              <addrLine>Avenue de l’Université 76801 Saint-Étienne-du-Rouvray Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.insa-rouen.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301232" type="direct"/>
            <relation active="#struct-455934" 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="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>