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Article: On stabilityand stabilizability of positive delay systems

TitleOn stabilityand stabilizability of positive delay systems
Authors
KeywordsLinear Matrix Inequality (Lmi)
Nonnegative Matrix
Positive Systems
Stabilization
Time Delay
Issue Date2009
PublisherChinese Automatic Control Society. The Journal's web site is located at http://www.wiley.com/bw/journal.asp?ref=1561-8625
Citation
Asian Journal Of Control, 2009, v. 11 n. 2, p. 226-234 How to Cite?
AbstractThe stabilization problem with positivity is investigated in this note for discrete-time linear systems with time delay. A delay-independent necessary and sufficient condition is proposed in terms of linear matrix inequalities (LMTs) for the existence of desired controllers that guarantee the closed-loop system to be asymptotically stable and positive. In addition, the obtained result is further extended to more general case when the system matrices contain uncertain parameters, where a sufficient condition is obtained. The frequently used polytopic parameter uncertainty is taken into consideration. Since the conditions obtained are expressed as LMIs, which can be easily verified by using standard numerical software. A numerical example is provided to illustrate the proposed results. © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society.
Persistent Identifierhttp://hdl.handle.net/10722/157038
ISSN
2015 Impact Factor: 1.407
2015 SCImago Journal Rankings: 0.862
References

 

DC FieldValueLanguage
dc.contributor.authorWu, Len_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorShu, Zen_US
dc.contributor.authorDu, Ben_US
dc.date.accessioned2012-08-08T08:45:03Z-
dc.date.available2012-08-08T08:45:03Z-
dc.date.issued2009en_US
dc.identifier.citationAsian Journal Of Control, 2009, v. 11 n. 2, p. 226-234en_US
dc.identifier.issn1561-8625en_US
dc.identifier.urihttp://hdl.handle.net/10722/157038-
dc.description.abstractThe stabilization problem with positivity is investigated in this note for discrete-time linear systems with time delay. A delay-independent necessary and sufficient condition is proposed in terms of linear matrix inequalities (LMTs) for the existence of desired controllers that guarantee the closed-loop system to be asymptotically stable and positive. In addition, the obtained result is further extended to more general case when the system matrices contain uncertain parameters, where a sufficient condition is obtained. The frequently used polytopic parameter uncertainty is taken into consideration. Since the conditions obtained are expressed as LMIs, which can be easily verified by using standard numerical software. A numerical example is provided to illustrate the proposed results. © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society.en_US
dc.languageengen_US
dc.publisherChinese Automatic Control Society. The Journal's web site is located at http://www.wiley.com/bw/journal.asp?ref=1561-8625-
dc.relation.ispartofAsian Journal of Controlen_US
dc.subjectLinear Matrix Inequality (Lmi)en_US
dc.subjectNonnegative Matrixen_US
dc.subjectPositive Systemsen_US
dc.subjectStabilizationen_US
dc.subjectTime Delayen_US
dc.titleOn stabilityand stabilizability of positive delay 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.doi10.1002/asjc.99en_US
dc.identifier.scopuseid_2-s2.0-72449162964en_US
dc.identifier.hkuros164226-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-72449162964&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume11en_US
dc.identifier.issue2en_US
dc.identifier.spage226en_US
dc.identifier.epage234en_US
dc.publisher.placeTaiwanen_US
dc.identifier.scopusauthoridWu, L=15062089100en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridShu, Z=25652150400en_US
dc.identifier.scopusauthoridDu, B=25823711000en_US

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