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Conference Paper: On the positivity of polynomials on the complex unit disc via LMIs

TitleOn the positivity of polynomials on the complex unit disc via LMIs
Authors
KeywordsLinear system
Discrete time
Transfer function
Positivity
LMI
Issue Date2012
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000225
Citation
The 25th IEEE Canadian Conference on Electrical and Computer Engineering (CCECE 2012), Montreal, QC., 29 April-2 May 2012. In IEEE Canadian Conference on Electrical and Computer Engineering Proceedings, 2012 How to Cite?
AbstractInvestigating positivity of polynomials over the complex unit disc is a relevant problem in electrical and computer engineering. This paper provides two sufficient and necessary conditions for solving this problem via linear matrix inequalities (LMIs). These conditions are obtained by exploiting trigonometric transformations, a key tool for the representation of polynomials, and results from the theory of positive polynomials. Some numerical examples illustrate the proposed conditions. © 2012 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/153078
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.date.accessioned2012-07-16T09:55:45Z-
dc.date.available2012-07-16T09:55:45Z-
dc.date.issued2012en_US
dc.identifier.citationThe 25th IEEE Canadian Conference on Electrical and Computer Engineering (CCECE 2012), Montreal, QC., 29 April-2 May 2012. In IEEE Canadian Conference on Electrical and Computer Engineering Proceedings, 2012en_US
dc.identifier.isbn978-1-4673-1433-6-
dc.identifier.issn0840-7789-
dc.identifier.urihttp://hdl.handle.net/10722/153078-
dc.description.abstractInvestigating positivity of polynomials over the complex unit disc is a relevant problem in electrical and computer engineering. This paper provides two sufficient and necessary conditions for solving this problem via linear matrix inequalities (LMIs). These conditions are obtained by exploiting trigonometric transformations, a key tool for the representation of polynomials, and results from the theory of positive polynomials. Some numerical examples illustrate the proposed conditions. © 2012 IEEE.-
dc.languageengen_US
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000225-
dc.relation.ispartofIEEE Canadian Conference on Electrical and Computer Engineering Proceedingsen_US
dc.rightsIEEE Canadian Conference on Electrical and Computer Engineering Proceedings. Copyright © IEEE.-
dc.rights©2012 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.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectLinear system-
dc.subjectDiscrete time-
dc.subjectTransfer function-
dc.subjectPositivity-
dc.subjectLMI-
dc.titleOn the positivity of polynomials on the complex unit disc via LMIsen_US
dc.typeConference_Paperen_US
dc.identifier.emailChesi, G: chesi@eee.hku.hken_US
dc.identifier.authorityChesi, G=rp00100en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/CCECE.2012.6334819-
dc.identifier.scopuseid_2-s2.0-84870449629-
dc.identifier.hkuros201444en_US
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 140318-

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