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Conference Paper: On the definiteness of univariate and bivariate two-side matrix polynomials over unitary complex numbers

TitleOn the definiteness of univariate and bivariate two-side matrix polynomials over unitary complex numbers
Authors
KeywordsLinear systems
LMIs
Issue Date2014
PublisherAmerican Automatic Control Council. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000030
Citation
The 2014 American Control Conference (ACC 2014), Portland, OR., 4-6 June 2014. In American Control Conference, 2014, p. 5669-5674 How to Cite?
AbstractEstablishing whether a two-side matrix polynomial is definite over unitary complex numbers is an important problem in modeling, analysis and design of control systems. This paper addresses this problem for univariate and bivariate two-side matrix polynomials, i.e., matrix functions that are polynomial in the variables and their inverse. Sufficient and necessary conditions are proposed in terms of linear matrix inequality (LMI) feasibility tests by exploiting trigonometric transformations and the theory of positive polynomials. Some numerical examples illustrate the proposed conditions. © 2014 American Automatic Control Council.
Persistent Identifierhttp://hdl.handle.net/10722/199368
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.date.accessioned2014-07-22T01:15:37Z-
dc.date.available2014-07-22T01:15:37Z-
dc.date.issued2014en_US
dc.identifier.citationThe 2014 American Control Conference (ACC 2014), Portland, OR., 4-6 June 2014. In American Control Conference, 2014, p. 5669-5674en_US
dc.identifier.isbn978-1-4799-3274-0-
dc.identifier.issn0743-1619-
dc.identifier.urihttp://hdl.handle.net/10722/199368-
dc.description.abstractEstablishing whether a two-side matrix polynomial is definite over unitary complex numbers is an important problem in modeling, analysis and design of control systems. This paper addresses this problem for univariate and bivariate two-side matrix polynomials, i.e., matrix functions that are polynomial in the variables and their inverse. Sufficient and necessary conditions are proposed in terms of linear matrix inequality (LMI) feasibility tests by exploiting trigonometric transformations and the theory of positive polynomials. Some numerical examples illustrate the proposed conditions. © 2014 American Automatic Control Council.-
dc.languageengen_US
dc.publisherAmerican Automatic Control Council. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000030-
dc.relation.ispartofAmerican Control Conferenceen_US
dc.rightsAmerican Control Conference. Copyright © American Automatic Control Council.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectLinear systems-
dc.subjectLMIs-
dc.titleOn the definiteness of univariate and bivariate two-side matrix polynomials over unitary complex numbersen_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/ACC.2014.6858696-
dc.identifier.scopuseid_2-s2.0-84905686784-
dc.identifier.hkuros230398en_US
dc.identifier.spage5669en_US
dc.identifier.epage5674en_US
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 140822-

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