<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE rdf:RDF[
	<!ENTITY rdf 'http://www.w3.org/1999/02/22-rdf-syntax-ns#'>
	<!ENTITY rdfs 'http://www.w3.org/2000/01/rdf-schema#'>
	<!ENTITY owl 'http://www.w3.org/2002/07/owl#'>
	<!ENTITY swivt 'http://semantic-mediawiki.org/swivt/1.0#'>
	<!ENTITY wiki 'http://murray.cds.caltech.edu/Special:URIResolver/'>
	<!ENTITY category 'http://murray.cds.caltech.edu/Special:URIResolver/Category-3A'>
	<!ENTITY property 'http://murray.cds.caltech.edu/Special:URIResolver/Property-3A'>
	<!ENTITY wikiurl 'https://murray.cds.caltech.edu/'>
]>

<rdf:RDF
	xmlns:rdf="&rdf;"
	xmlns:rdfs="&rdfs;"
	xmlns:owl ="&owl;"
	xmlns:swivt="&swivt;"
	xmlns:wiki="&wiki;"
	xmlns:category="&category;"
	xmlns:property="&property;">

	<owl:Ontology rdf:about="https://murray.cds.caltech.edu/Special:ExportRDF/Compositional_stability_analysis_based_on_dual_decomposition">
		<swivt:creationDate rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2026-07-01T13:30:11+00:00</swivt:creationDate>
		<owl:imports rdf:resource="http://semantic-mediawiki.org/swivt/1.0"/>
	</owl:Ontology>
	<swivt:Subject rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Compositional_stability_analysis_based_on_dual_decomposition">
		<rdf:type rdf:resource="http://murray.cds.caltech.edu/Special:URIResolver/Category-3APapers"/>
		<rdfs:label>Compositional stability analysis based on dual decomposition</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://murray.cds.caltech.edu/Special:ExportRDF/Compositional_stability_analysis_based_on_dual_decomposition"/>
		<swivt:page rdf:resource="https://murray.cds.caltech.edu/Compositional_stability_analysis_based_on_dual_decomposition"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">0</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<property:Abstract rdf:datatype="http://www.w3.org/2001/XMLSchema#string">We propose a compositional stability analysis methodology for verifying properties of systems that are interconnections of multiple subsystems. The proposed method assembles stability certificates for the interconnected system based on the certificates for the input-output properties of the subsystems. The hierarchy in the analysis is achieved by utilizing dual decomposition ideas in optimization. Decoupled subproblems establish subsystem level input-output properties whereas the ``master'' problem imposes and updates the conditions on the subproblems toward ensuring interconnected  system level stability properties. Both global stabilityanalysis and region-of-attraction analysis are discussed.</property:Abstract>
		<property:Authors rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Ufuk Topcu, Andrew K Packard, Richard M Murray</property:Authors>
		<property:ID rdf:datatype="http://www.w3.org/2001/XMLSchema#string">2009a</property:ID>
		<property:Source rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Conference on Decision and Control (CDC), 2009 (Submitted)</property:Source>
		<property:Tag rdf:datatype="http://www.w3.org/2001/XMLSchema#string">tpm09-cdc</property:Tag>
		<property:Title rdf:resource="&wiki;Compositional_stability_analysis_based_on_dual_decomposition"/>
		<property:Type rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Preprint</property:Type>
		<swivt:wikiPageModificationDate rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-05-15T06:16:42Z</swivt:wikiPageModificationDate>
		<property:Modification_date-23aux rdf:datatype="http://www.w3.org/2001/XMLSchema#double">2457523.7615972</property:Modification_date-23aux>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Compositional stability analysis based on dual decomposition</swivt:wikiPageSortKey>
		<property:URL rdf:resource="http://www.cds.caltech.edu/~murray/preprints/tpm09-cdc_s.pdf"/>
	</swivt:Subject>
	<owl:ObjectProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3ATitle">
		<rdfs:label>Title</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://murray.cds.caltech.edu/Special:ExportRDF/Property-3ATitle"/>
		<swivt:page rdf:resource="https://murray.cds.caltech.edu/Property-3ATitle"/>
		<swivt:wikiNamespace rdf:datatype="http://www.w3.org/2001/XMLSchema#integer">102</swivt:wikiNamespace>
		<swivt:wikiPageContentLanguage rdf:datatype="http://www.w3.org/2001/XMLSchema#string">en</swivt:wikiPageContentLanguage>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Title</swivt:wikiPageSortKey>
		<swivt:type rdf:resource="http://semantic-mediawiki.org/swivt/1.0#_wpg"/>
	</owl:ObjectProperty>
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#creationDate" />
	<owl:Class rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Category-3APapers" />
	<owl:ObjectProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#page" />
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#wikiNamespace" />
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#wikiPageContentLanguage" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AAbstract" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AAuthors" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AID" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3ASource" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3ATag" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AType" />
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#wikiPageModificationDate" />
	<owl:DatatypeProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AModification_date-23aux" />
	<owl:DatatypeProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#wikiPageSortKey" />
	<owl:ObjectProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AURL" />
	<owl:ObjectProperty rdf:about="http://semantic-mediawiki.org/swivt/1.0#type" />
	<!-- Created by Semantic MediaWiki, https://www.semantic-mediawiki.org/ -->
</rdf:RDF>