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Article: A delay-partitioning projection approach to stability analysis of continuous systems with multiple delay components
Title | A delay-partitioning projection approach to stability analysis of continuous systems with multiple delay components | ||||||
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Authors | |||||||
Issue Date | 2009 | ||||||
Publisher | The 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? | ||||||
Abstract | An 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 Identifier | http://hdl.handle.net/10722/59039 | ||||||
ISSN | 2023 Impact Factor: 2.2 2023 SCImago Journal Rankings: 0.957 | ||||||
ISI Accession Number ID |
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 Field | Value | Language |
---|---|---|
dc.contributor.author | Du, B | en_HK |
dc.contributor.author | Lam, J | en_HK |
dc.contributor.author | Shu, Z | en_HK |
dc.contributor.author | Wang, Z | en_HK |
dc.date.accessioned | 2010-05-31T03:41:51Z | - |
dc.date.available | 2010-05-31T03:41:51Z | - |
dc.date.issued | 2009 | en_HK |
dc.identifier.citation | IET Control Theory And Applications, 2009, v. 3 n. 4, p. 383-390 | en_HK |
dc.identifier.issn | 1751-8644 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/59039 | - |
dc.description.abstract | An 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.language | eng | en_HK |
dc.publisher | The Institution of Engineering and Technology. The Journal's web site is located at http://www.ietdl.org/IP-CTA | en_HK |
dc.relation.ispartof | IET Control Theory and Applications | en_HK |
dc.title | A delay-partitioning projection approach to stability analysis of continuous systems with multiple delay components | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_HK |
dc.identifier.authority | Lam, J=rp00133 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1049/iet-cta.2007.0321 | en_HK |
dc.identifier.scopus | eid_2-s2.0-63049125623 | en_HK |
dc.identifier.hkuros | 164214 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-63049125623&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 3 | en_HK |
dc.identifier.issue | 4 | en_HK |
dc.identifier.spage | 383 | en_HK |
dc.identifier.epage | 390 | en_HK |
dc.identifier.isi | WOS:000265177900002 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.identifier.scopusauthorid | Du, B=25823711000 | en_HK |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_HK |
dc.identifier.scopusauthorid | Shu, Z=25652150400 | en_HK |
dc.identifier.scopusauthorid | Wang, Z=7410037481 | en_HK |
dc.identifier.issnl | 1751-8644 | - |