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Article: On gramians and balanced truncation of discrete-time bilinear systems

TitleOn gramians and balanced truncation of discrete-time bilinear systems
Authors
Zhang, LLam, JHuang, BYang, GH
Issue Date2003
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.asp
Citation
International Journal Of Control, 2003, v. 76 n. 4, p. 414-427 How to Cite?
DOI: http://dx.doi.org/10.1080/0020717031000082540
AbstractThis paper obtains a balanced truncation model reduction method for discrete-time bilinear systems. After deriving the sufficient conditions for the discrete-time bilinear systems to lead to bounded outputs for some bounded inputs, we study the properties of the reachability and observability gramians. The gramians can be computed by solving two generalized Lyapunov equations. By balancing the reachability and observability gramians, a model reduction method is obtained. Some propositions of the reduced order models are given. A numerical example is given to illustrate the effectiveness of the proposed method.
Persistent Identifierhttp://hdl.handle.net/10722/156686
ISSN
0020-7179
2021 Impact Factor: 2.102
2020 SCImago Journal Rankings: 0.793
ISI Accession Number ID
WOS:000181604000008
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorZhang, Len_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorHuang, Ben_US
dc.contributor.authorYang, GHen_US
dc.date.accessioned2012-08-08T08:43:32Z-
dc.date.available2012-08-08T08:43:32Z-
dc.date.issued2003en_US
dc.identifier.citationInternational Journal Of Control, 2003, v. 76 n. 4, p. 414-427en_US
dc.identifier.issn0020-7179en_US
dc.identifier.urihttp://hdl.handle.net/10722/156686-
dc.description.abstractThis paper obtains a balanced truncation model reduction method for discrete-time bilinear systems. After deriving the sufficient conditions for the discrete-time bilinear systems to lead to bounded outputs for some bounded inputs, we study the properties of the reachability and observability gramians. The gramians can be computed by solving two generalized Lyapunov equations. By balancing the reachability and observability gramians, a model reduction method is obtained. Some propositions of the reduced order models are given. A numerical example is given to illustrate the effectiveness of the proposed method.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207179.aspen_US
dc.relation.ispartofInternational Journal of Controlen_US
dc.titleOn gramians and balanced truncation of discrete-time bilinear systemsen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1080/0020717031000082540en_US
dc.identifier.scopuseid_2-s2.0-0142137644en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0142137644&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume76en_US
dc.identifier.issue4en_US
dc.identifier.spage414en_US
dc.identifier.epage427en_US
dc.identifier.isiWOS:000181604000008-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridZhang, L=9039499900en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridHuang, B=11839993500en_US
dc.identifier.scopusauthoridYang, GH=7405751358en_US
dc.identifier.issnl0020-7179-

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