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Article: A delay-partitioning projection approach to stability analysis of continuous systems with multiple delay components

TitleA delay-partitioning projection approach to stability analysis of continuous systems with multiple delay components
Authors
Issue Date2009
PublisherThe Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTA
Citation
IET Control Theory And Applications, 2009, v. 3 n. 4, p. 383-390 How to Cite?
AbstractAn effective approach is introduced to study the stability of continuous systems with multiple time-varying delay components. By employing a new Lyapunov-Krasovskii functional form based on delay partitioning, delay-dependent stability criteria are established for cases with or without the information of the delay rates. The contribution of the paper is 2-fold. First, it provides an improvement, as well as generalisation, of the existing stability criteria for continuous systems with multiple time-varying delay components. Second, it is illustrated numerically that the approach can be applied to estimate the delay bound for system stability in the single delay case with reduction both in conservatism and computational complexity when compared with the existing methods. © The Institution of Engineering and Technology 2009.
Persistent Identifierhttp://hdl.handle.net/10722/59039
ISSN
2015 Impact Factor: 1.957
2015 SCImago Journal Rankings: 1.467
ISI Accession Number ID
Funding AgencyGrant Number
RGC HKU7031/06P
Royal Society of the UK
Funding Information:

This work is supported by RGC HKU 7031/06P, and an international joint project by the Royal Society of the UK.

References

 

DC FieldValueLanguage
dc.contributor.authorDu, Ben_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorShu, Zen_HK
dc.contributor.authorWang, Zen_HK
dc.date.accessioned2010-05-31T03:41:51Z-
dc.date.available2010-05-31T03:41:51Z-
dc.date.issued2009en_HK
dc.identifier.citationIET Control Theory And Applications, 2009, v. 3 n. 4, p. 383-390en_HK
dc.identifier.issn1751-8644en_HK
dc.identifier.urihttp://hdl.handle.net/10722/59039-
dc.description.abstractAn effective approach is introduced to study the stability of continuous systems with multiple time-varying delay components. By employing a new Lyapunov-Krasovskii functional form based on delay partitioning, delay-dependent stability criteria are established for cases with or without the information of the delay rates. The contribution of the paper is 2-fold. First, it provides an improvement, as well as generalisation, of the existing stability criteria for continuous systems with multiple time-varying delay components. Second, it is illustrated numerically that the approach can be applied to estimate the delay bound for system stability in the single delay case with reduction both in conservatism and computational complexity when compared with the existing methods. © The Institution of Engineering and Technology 2009.en_HK
dc.languageengen_HK
dc.publisherThe Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTAen_HK
dc.relation.ispartofIET Control Theory and Applicationsen_HK
dc.titleA delay-partitioning projection approach to stability analysis of continuous systems with multiple delay componentsen_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.doi10.1049/iet-cta.2007.0321en_HK
dc.identifier.scopuseid_2-s2.0-63049125623en_HK
dc.identifier.hkuros164214en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-63049125623&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume3en_HK
dc.identifier.issue4en_HK
dc.identifier.spage383en_HK
dc.identifier.epage390en_HK
dc.identifier.isiWOS:000265177900002-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridDu, B=25823711000en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridShu, Z=25652150400en_HK
dc.identifier.scopusauthoridWang, Z=7410037481en_HK

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