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Article: Delay-dependent and delay-independent energy-to-peak model approximation for systems with time-varying delay

TitleDelay-dependent and delay-independent energy-to-peak model approximation for systems with time-varying delay
Authors
KeywordsEnergy-To-Peak Gain
Model Approximation
Time-Varying Delay
Issue Date2005
PublisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.asp
Citation
International Journal Of Systems Science, 2005, v. 36 n. 8, p. 445-460 How to Cite?
AbstractThis paper deals with the problem of computing an approximation system for a given system with time-varying delay such that the energy-to-peak gain of the error system is less than a prescribed scalar. First, a delay-dependent boundedness condition of energy-to-peak gain is given in terms of linear matrix inequalities (LMIs), which recovers the delay-independent case. Then, based on the established delay-dependent boundedness condition of energy-to-peak gain, a sufficient condition to characterize the approximation system is obtained to solve the energy-to-peak model approximation problem in the form of LMIs with inverse constraints. A number of delay-independent energy-to-peak model approximation cases are special cases of a delay-dependent approximation. An efficient algorithm is derived to obtain the approximation models. Finally, examples are employed to demonstrate the effectiveness of the model approximation algorithm. © 2005 Taylor & Francis Group Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/156797
ISSN
2015 Impact Factor: 1.947
2015 SCImago Journal Rankings: 1.083
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWang, Qen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorXu, Sen_US
dc.contributor.authorGao, Hen_US
dc.date.accessioned2012-08-08T08:44:00Z-
dc.date.available2012-08-08T08:44:00Z-
dc.date.issued2005en_US
dc.identifier.citationInternational Journal Of Systems Science, 2005, v. 36 n. 8, p. 445-460en_US
dc.identifier.issn0020-7721en_US
dc.identifier.urihttp://hdl.handle.net/10722/156797-
dc.description.abstractThis paper deals with the problem of computing an approximation system for a given system with time-varying delay such that the energy-to-peak gain of the error system is less than a prescribed scalar. First, a delay-dependent boundedness condition of energy-to-peak gain is given in terms of linear matrix inequalities (LMIs), which recovers the delay-independent case. Then, based on the established delay-dependent boundedness condition of energy-to-peak gain, a sufficient condition to characterize the approximation system is obtained to solve the energy-to-peak model approximation problem in the form of LMIs with inverse constraints. A number of delay-independent energy-to-peak model approximation cases are special cases of a delay-dependent approximation. An efficient algorithm is derived to obtain the approximation models. Finally, examples are employed to demonstrate the effectiveness of the model approximation algorithm. © 2005 Taylor & Francis Group Ltd.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.aspen_US
dc.relation.ispartofInternational Journal of Systems Scienceen_US
dc.subjectEnergy-To-Peak Gainen_US
dc.subjectModel Approximationen_US
dc.subjectTime-Varying Delayen_US
dc.titleDelay-dependent and delay-independent energy-to-peak model approximation for systems with time-varying delayen_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.doi10.1080/00207720500139773en_US
dc.identifier.scopuseid_2-s2.0-27944486525en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-27944486525&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume36en_US
dc.identifier.issue8en_US
dc.identifier.spage445en_US
dc.identifier.epage460en_US
dc.identifier.isiWOS:000230457400001-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridWang, Q=7406912110en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridXu, S=7404438591en_US
dc.identifier.scopusauthoridGao, H=7402971422en_US

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