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Article: On stabilityand stabilizability of positive delay systems
Title | On stabilityand stabilizability of positive delay systems |
---|---|
Authors | |
Keywords | Linear Matrix Inequality (Lmi) Nonnegative Matrix Positive Systems Stabilization Time Delay |
Issue Date | 2009 |
Publisher | Chinese 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? |
Abstract | The 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 Identifier | http://hdl.handle.net/10722/157038 |
ISSN | 2023 Impact Factor: 2.7 2023 SCImago Journal Rankings: 0.677 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Wu, L | en_US |
dc.contributor.author | Lam, J | en_US |
dc.contributor.author | Shu, Z | en_US |
dc.contributor.author | Du, B | en_US |
dc.date.accessioned | 2012-08-08T08:45:03Z | - |
dc.date.available | 2012-08-08T08:45:03Z | - |
dc.date.issued | 2009 | en_US |
dc.identifier.citation | Asian Journal Of Control, 2009, v. 11 n. 2, p. 226-234 | en_US |
dc.identifier.issn | 1561-8625 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/157038 | - |
dc.description.abstract | The 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.language | eng | en_US |
dc.publisher | Chinese Automatic Control Society. The Journal's web site is located at http://www.wiley.com/bw/journal.asp?ref=1561-8625 | - |
dc.relation.ispartof | Asian Journal of Control | en_US |
dc.subject | Linear Matrix Inequality (Lmi) | en_US |
dc.subject | Nonnegative Matrix | en_US |
dc.subject | Positive Systems | en_US |
dc.subject | Stabilization | en_US |
dc.subject | Time Delay | en_US |
dc.title | On stabilityand stabilizability of positive delay systems | en_US |
dc.type | Article | en_US |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_US |
dc.identifier.authority | Lam, J=rp00133 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1002/asjc.99 | en_US |
dc.identifier.scopus | eid_2-s2.0-72449162964 | en_US |
dc.identifier.hkuros | 164226 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-72449162964&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 11 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 226 | en_US |
dc.identifier.epage | 234 | en_US |
dc.identifier.isi | WOS:000265717500015 | - |
dc.publisher.place | Taiwan | en_US |
dc.identifier.scopusauthorid | Wu, L=15062089100 | en_US |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |
dc.identifier.scopusauthorid | Shu, Z=25652150400 | en_US |
dc.identifier.scopusauthorid | Du, B=25823711000 | en_US |
dc.identifier.issnl | 1561-8625 | - |