<?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/Privacy_Preserving_Average_Consensus">
		<swivt:creationDate rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2026-07-05T03:47:10+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/Privacy_Preserving_Average_Consensus">
		<rdf:type rdf:resource="http://murray.cds.caltech.edu/Special:URIResolver/Category-3APapers"/>
		<rdfs:label>Privacy Preserving Average Consensus</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://murray.cds.caltech.edu/Special:ExportRDF/Privacy_Preserving_Average_Consensus"/>
		<swivt:page rdf:resource="https://murray.cds.caltech.edu/Privacy_Preserving_Average_Consensus"/>
		<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">Average consensus is a widely used algorithm for distributed averaging, where all the agents in the network constantly communicate and update their states in order to achieve an agreement. This approach could result in an undesirable disclosure of information on the initial state of agent i to other agents. In this paper, we propose a Privacy Preserving Average Consensus (PPAC) algorithm to guarantee the privacy of the initial state and the convergence to the exact initial values, by adding and subtracting random noises to the consensus process. We characterize the mean square convergence rate of the PPAC algorithm and derive upper and lower bounds for the covariance matrix of the maximum likelihood estimate on the initial state. We further provide an algebraic condition under which the PPAC algorithm is (epsilon, delta)-differentially private. A numerical example is provided to illustrate the effectiveness of the PPAC algorithm.</property:Abstract>
		<property:Authors rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Yilin Mo and Richard M. Murray</property:Authors>
		<property:Funding rdf:resource="&wiki;ICyPhy-3A_Industrial_Cyber-2DPhysical_Systems"/>
		<property:ID rdf:datatype="http://www.w3.org/2001/XMLSchema#string">2014d</property:ID>
		<property:Source rdf:datatype="http://www.w3.org/2001/XMLSchema#string">2014 Conference on Decision and Control (CDC)</property:Source>
		<property:Tag rdf:datatype="http://www.w3.org/2001/XMLSchema#string">mm14-cdc</property:Tag>
		<property:Title rdf:resource="&wiki;Privacy_Preserving_Average_Consensus"/>
		<property:Type rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Conference Paper</property:Type>
		<swivt:wikiPageModificationDate rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-05-15T06:14:52Z</swivt:wikiPageModificationDate>
		<property:Modification_date-23aux rdf:datatype="http://www.w3.org/2001/XMLSchema#double">2457523.7603241</property:Modification_date-23aux>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Privacy Preserving Average Consensus</swivt:wikiPageSortKey>
		<property:URL rdf:resource="http://www.cds.caltech.edu/~murray/preprints/mm14-cdc.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:ObjectProperty rdf:about="http://murray.cds.caltech.edu/Special:URIResolver/Property-3AFunding" />
	<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>