<?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/Robustness_Guarantees_for_Structured_Model_Reduction_of_Dynamical_Systems">
		<swivt:creationDate rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2026-09-05T00:37:46+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/Robustness_Guarantees_for_Structured_Model_Reduction_of_Dynamical_Systems">
		<rdf:type rdf:resource="http://murray.cds.caltech.edu/Special:URIResolver/Category-3APapers"/>
		<rdfs:label>Robustness Guarantees for Structured Model Reduction of Dynamical Systems</rdfs:label>
		<rdfs:isDefinedBy rdf:resource="https://murray.cds.caltech.edu/Special:ExportRDF/Robustness_Guarantees_for_Structured_Model_Reduction_of_Dynamical_Systems"/>
		<swivt:page rdf:resource="https://murray.cds.caltech.edu/Robustness_Guarantees_for_Structured_Model_Reduction_of_Dynamical_Systems"/>
		<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">Model reduction methods usually focus on the error performance analysis; however, in presence of uncertainties, it is important to analyze the robustness properties of the error in model reduction as well. In this paper, we give robustness guarantees for structured model reduction of linear and nonlinear dynamical systems under parametric uncertainties. In particular, we consider a model reduction where the states in the reduced model are a strict subset of the states of the full model, and the dynamics for all other states are collapsed to zero (similar to quasi-steady state approximation). We show two approaches to compute a robustness metric for any such model reduction — a direct linear analysis method for linear dynamics and a sensitivity analysis based approach that also works for nonlinear dynamics. We also prove that for linear systems, both methods give equivalent results.</property:Abstract>
		<property:Authors rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Ayush Pandey</property:Authors>
		<property:Authors rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Richard M. Murray</property:Authors>
		<property:Funding rdf:resource="&wiki;Robust_Multi-2DLayer_Control_Systems_for_Cooperative_Cellular_Behaviors"/>
		<property:Funding rdf:resource="&wiki;Developing_Standardized_Cell-2DFree_Platforms_for_Rapid_Prototyping_of_Synthetic_Biology_Circuits_and_Pathways"/>
		<property:ID rdf:datatype="http://www.w3.org/2001/XMLSchema#string">2021c</property:ID>
		<property:Source rdf:datatype="http://www.w3.org/2001/XMLSchema#string">IEEE Conference on Decision and Control (CDC), 2021</property:Source>
		<property:Tag rdf:datatype="http://www.w3.org/2001/XMLSchema#string">AP21-CDC</property:Tag>
		<property:Title rdf:resource="&wiki;Robustness_Guarantees_for_Structured_Model_Reduction_of_Dynamical_Systems"/>
		<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">2022-10-09T17:11:01Z</swivt:wikiPageModificationDate>
		<property:Modification_date-23aux rdf:datatype="http://www.w3.org/2001/XMLSchema#double">2459862.2159838</property:Modification_date-23aux>
		<swivt:wikiPageSortKey rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Robustness Guarantees for Structured Model Reduction of Dynamical Systems</swivt:wikiPageSortKey>
		<property:URL rdf:resource="https://www.its.caltech.edu/~apandey/documents/cdc_2021.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>