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Article: Hankel norm model reduction of uncertain neutral stochastic time-delay systems

TitleHankel norm model reduction of uncertain neutral stochastic time-delay systems
Authors
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
Citation
International 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
Persistent Identifierhttp://hdl.handle.net/10722/124849
ISSN
2013 SCImago Journal Rankings: 0.470
References

 

DC FieldValueLanguage
dc.contributor.authorLi, Yen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorLuo, Xen_HK
dc.date.accessioned2010-10-31T10:57:37Z-
dc.date.available2010-10-31T10:57:37Z-
dc.date.issued2009en_HK
dc.identifier.citationInternational Journal Of Innovative Computing, Information And Control, 2009, v. 5 n. 9, p. 2819-2828en_HK
dc.identifier.issn1349-4198en_HK
dc.identifier.urihttp://hdl.handle.net/10722/124849-
dc.descriptionFulltext link: http://www.ijicic.org/08-013-1.pdf-
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.en_HK
dc.languageengen_HK
dc.publisherICIC International. The Journal's web site is located at http://www.ijicic.org/home.htmen_HK
dc.relation.ispartofInternational Journal of Innovative Computing, Information and Controlen_HK
dc.subjectCone complementarity linearizationen_HK
dc.subjectHankel normen_HK
dc.subjectLinear matrix inequalityen_HK
dc.subjectModel reductionen_HK
dc.subjectNeutral stochastic systemsen_HK
dc.titleHankel norm model reduction of uncertain neutral stochastic time-delay systemsen_HK
dc.typeArticleen_HK
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-69949113157en_HK
dc.identifier.hkuros179599en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-69949113157&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume5en_HK
dc.identifier.issue9en_HK
dc.identifier.spage2819en_HK
dc.identifier.epage2828en_HK
dc.publisher.placeJapanen_HK
dc.identifier.scopusauthoridLi, Y=9235884800en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridLuo, X=7402870834en_HK

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