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Article: Hankel norm model reduction of uncertain neutral stochastic time-delay systems
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TitleHankel norm model reduction of uncertain neutral stochastic time-delay systems
 
AuthorsLi, Y2
Lam, J1
Luo, X3
 
KeywordsCone complementarity linearization
Hankel norm
Linear matrix inequality
Model reduction
Neutral stochastic systems
 
Issue Date2009
 
PublisherICIC International. The Journal's web site is located at http://www.ijicic.org/home.htm
 
CitationInternational Journal Of Innovative Computing, Information And Control, 2009, v. 5 n. 9, p. 2819-2828 [How to Cite?]
 
AbstractThis paper investigates the problems of robust Hankel norm model reduction for uncertain neutral stochastic time-delay systems with time-varying norm-bounded parameter uncertainties appearing in the state matrices. For a given mean square asymptotically stable system, our purpose is to construct reduced-order systems, which approximate the original system well in the Hankel norm sense. The Hankel norm gain criterion is first established for neutral stochastic time-delay systems, and the corresponding model reduction problem is solved by using the projection lemma, and sufficient conditions are obtained for the existence of admissible reduced-order models in terms of linear matrix inequalities (LMIs) plus matrix inverse constraints. Since these obtained conditions are not expressed as strict LMIs, the cone complementarity linearization (CCL) method is exploited to cast them into nonlinear minimization problems subject to LMI constraints, which can be readily solved by standard numerical software. The efficiency of the proposed methods is demonstrated via a numerical example. © 2009 ISSN.
 
DescriptionFulltext link: http://www.ijicic.org/08-013-1.pdf
 
ISSN1349-4198
2012 SCImago Journal Rankings: 0.812
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorLi, Y
 
dc.contributor.authorLam, J
 
dc.contributor.authorLuo, X
 
dc.date.accessioned2010-10-31T10:57:37Z
 
dc.date.available2010-10-31T10:57:37Z
 
dc.date.issued2009
 
dc.description.abstractThis paper investigates the problems of robust Hankel norm model reduction for uncertain neutral stochastic time-delay systems with time-varying norm-bounded parameter uncertainties appearing in the state matrices. For a given mean square asymptotically stable system, our purpose is to construct reduced-order systems, which approximate the original system well in the Hankel norm sense. The Hankel norm gain criterion is first established for neutral stochastic time-delay systems, and the corresponding model reduction problem is solved by using the projection lemma, and sufficient conditions are obtained for the existence of admissible reduced-order models in terms of linear matrix inequalities (LMIs) plus matrix inverse constraints. Since these obtained conditions are not expressed as strict LMIs, the cone complementarity linearization (CCL) method is exploited to cast them into nonlinear minimization problems subject to LMI constraints, which can be readily solved by standard numerical software. The efficiency of the proposed methods is demonstrated via a numerical example. © 2009 ISSN.
 
dc.description.natureLink_to_subscribed_fulltext
 
dc.descriptionFulltext link: http://www.ijicic.org/08-013-1.pdf
 
dc.identifier.citationInternational Journal Of Innovative Computing, Information And Control, 2009, v. 5 n. 9, p. 2819-2828 [How to Cite?]
 
dc.identifier.epage2828
 
dc.identifier.hkuros179599
 
dc.identifier.issn1349-4198
2012 SCImago Journal Rankings: 0.812
 
dc.identifier.issue9
 
dc.identifier.scopuseid_2-s2.0-69949113157
 
dc.identifier.spage2819
 
dc.identifier.urihttp://hdl.handle.net/10722/124849
 
dc.identifier.volume5
 
dc.languageeng
 
dc.publisherICIC International. The Journal's web site is located at http://www.ijicic.org/home.htm
 
dc.publisher.placeJapan
 
dc.relation.ispartofInternational Journal of Innovative Computing, Information and Control
 
dc.relation.referencesReferences in Scopus
 
dc.subjectCone complementarity linearization
 
dc.subjectHankel norm
 
dc.subjectLinear matrix inequality
 
dc.subjectModel reduction
 
dc.subjectNeutral stochastic systems
 
dc.titleHankel norm model reduction of uncertain neutral stochastic time-delay systems
 
dc.typeArticle
 
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Author Affiliations
  1. The University of Hong Kong
  2. Daqing Petroleum Institute
  3. China University of Petroleum - Beijing