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Article: Control for stability and positivity: Equivalent conditions and computation
Title | Control for stability and positivity: Equivalent conditions and computation |
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Authors | |
Keywords | Linear matrix inequality Metzler matrix Non-negative matrix Positive systems Stabilization |
Issue Date | 2005 |
Publisher | IEEE. |
Citation | Ieee Transactions On Circuits And Systems Ii: Express Briefs, 2005, v. 52 n. 9, p. 540-544 How to Cite? |
Abstract | This paper investigates the stabilizability of linear systems with closed-loop positivity. A necessary and sufficient condition for the existence of desired state-feedback controllers guaranteeing the resultant closed-loop system to be asymptotically stable and positive is obtained. Both continuous- and discrete-time cases are considered, and all of the conditions are expressed as linear matrix inequalities which can be easily verified by using standard numerical software. Numerical examples are provided to illustrate the proposed conditions. © 2005 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/44923 |
ISSN | |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Gao, H | en_HK |
dc.contributor.author | Lam, J | en_HK |
dc.contributor.author | Wang, C | en_HK |
dc.contributor.author | Xu, S | en_HK |
dc.date.accessioned | 2007-10-30T06:13:33Z | - |
dc.date.available | 2007-10-30T06:13:33Z | - |
dc.date.issued | 2005 | en_HK |
dc.identifier.citation | Ieee Transactions On Circuits And Systems Ii: Express Briefs, 2005, v. 52 n. 9, p. 540-544 | en_HK |
dc.identifier.issn | 1057-7130 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/44923 | - |
dc.description.abstract | This paper investigates the stabilizability of linear systems with closed-loop positivity. A necessary and sufficient condition for the existence of desired state-feedback controllers guaranteeing the resultant closed-loop system to be asymptotically stable and positive is obtained. Both continuous- and discrete-time cases are considered, and all of the conditions are expressed as linear matrix inequalities which can be easily verified by using standard numerical software. Numerical examples are provided to illustrate the proposed conditions. © 2005 IEEE. | en_HK |
dc.format.extent | 141170 bytes | - |
dc.format.extent | 2200 bytes | - |
dc.format.extent | 10566 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | text/plain | - |
dc.format.mimetype | text/plain | - |
dc.language | eng | en_HK |
dc.publisher | IEEE. | en_HK |
dc.relation.ispartof | IEEE Transactions on Circuits and Systems II: Express Briefs | en_HK |
dc.rights | ©2005 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. | - |
dc.subject | Linear matrix inequality | en_HK |
dc.subject | Metzler matrix | en_HK |
dc.subject | Non-negative matrix | en_HK |
dc.subject | Positive systems | en_HK |
dc.subject | Stabilization | en_HK |
dc.title | Control for stability and positivity: Equivalent conditions and computation | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1549-7747&volume=52&issue=9&spage=540&epage=544&date=2005&atitle=Control+for+stability+and+positivity:+equivalent+conditions+and+computation | en_HK |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_HK |
dc.identifier.authority | Lam, J=rp00133 | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.doi | 10.1109/TCSII.2005.850525 | en_HK |
dc.identifier.scopus | eid_2-s2.0-26844569798 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-26844569798&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 52 | en_HK |
dc.identifier.issue | 9 | en_HK |
dc.identifier.spage | 540 | en_HK |
dc.identifier.epage | 544 | en_HK |
dc.identifier.isi | WOS:000231991700004 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Gao, H=7402971422 | en_HK |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_HK |
dc.identifier.scopusauthorid | Wang, C=8337851300 | en_HK |
dc.identifier.scopusauthorid | Xu, S=7404438591 | en_HK |
dc.identifier.issnl | 1057-7130 | - |