<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-04-17T03:05:30Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2117/175447" metadataPrefix="mets">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2117/175447</identifier><datestamp>2026-02-07T10:43:17Z</datestamp><setSpec>com_2072_1033</setSpec><setSpec>col_2072_452950</setSpec></header><metadata><mets xmlns="http://www.loc.gov/METS/" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" ID="&#xa;&#x9;&#x9;&#x9;&#x9;DSpace_ITEM_2117-175447" TYPE="DSpace ITEM" PROFILE="DSpace METS SIP Profile 1.0" xsi:schemaLocation="http://www.loc.gov/METS/ http://www.loc.gov/standards/mets/mets.xsd" OBJID="&#xa;&#x9;&#x9;&#x9;&#x9;hdl:2117/175447">
   <metsHdr CREATEDATE="2026-04-17T03:31:17Z">
      <agent ROLE="CUSTODIAN" TYPE="ORGANIZATION">
         <name>RECERCAT</name>
      </agent>
   </metsHdr>
   <dmdSec ID="DMD_2117_175447">
      <mdWrap MDTYPE="MODS">
         <xmlData xmlns:mods="http://www.loc.gov/mods/v3" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd">
            <mods:mods xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd">
               <mods:name>
                  <mods:role>
                     <mods:roleTerm type="text">author</mods:roleTerm>
                  </mods:role>
                  <mods:namePart>Naser, Mohammad Fuad Mohammad</mods:namePart>
               </mods:name>
               <mods:name>
                  <mods:role>
                     <mods:roleTerm type="text">author</mods:roleTerm>
                  </mods:role>
                  <mods:namePart>Ikhouane, Fayçal</mods:namePart>
               </mods:name>
               <mods:originInfo>
                  <mods:dateIssued encoding="iso8601">2019-06-01</mods:dateIssued>
               </mods:originInfo>
               <mods:identifier type="none"/>
               <mods:abstract>When a non-linear system has a strict Lyapunov function, its stability can be studied using standard tools from Lyapunov stability theory. What happens when the strict condition fails? This paper provides an answer to that question using a formulation that does not make use of the specific structure of the system model. This formulation is then applied to the study of the asymptotic stability of some classes of linear and non-linear time-varying systems.Peer ReviewedPostprint (author's final draft)</mods:abstract>
               <mods:language>
                  <mods:languageTerm authority="rfc3066"/>
               </mods:language>
               <mods:accessCondition type="useAndReproduction">http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain</mods:accessCondition>
               <mods:subject>
                  <mods:topic>Àrees temàtiques de la UPC::Matemàtiques i estadística</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>Lyapunov functions</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>Lyapunov functions</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>Time-varying systems</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>(Asymptotic) stability</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>Lyapunov, Funcions de</mods:topic>
               </mods:subject>
               <mods:titleInfo>
                  <mods:title>Stability of time-varying systems in the absence of strict Lyapunov functions</mods:title>
               </mods:titleInfo>
               <mods:genre>Article</mods:genre>
            </mods:mods>
         </xmlData>
      </mdWrap>
   </dmdSec>
   <structMap LABEL="DSpace Object" TYPE="LOGICAL">
      <div TYPE="DSpace Object Contents" ADMID="DMD_2117_175447"/>
   </structMap>
</mets></metadata></record></GetRecord></OAI-PMH>