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Article: When is the multiaffine image of a cube a convex polygon?

TitleWhen is the multiaffine image of a cube a convex polygon?
Authors
Tsing, NKTits, AndrL
Keywordsmapping theorem
multilinear polynomial families
parametric uncertainty
Robust stability
Issue Date1993
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle
Citation
Systems And Control Letters, 1993, v. 20 n. 6, p. 439-445 How to Cite?
DOI: http://dx.doi.org/10.1016/0167-6911(93)90105-F
AbstractWe give two simple sufficient conditions under which the multiaffine image in the complex plane of an m-dimensional cube is a convex polygon. A third condition which, in some generic sense, is necessary and sufficient is then obtained. Our conditions involve checking the locations of the image of the vertices of the cube. These results help determine whether a parameterized family of polynomials th stable. © 1993.
Persistent Identifierhttp://hdl.handle.net/10722/75232
ISSN
0167-6911
2023 Impact Factor: 2.1
2023 SCImago Journal Rankings: 1.503
ISI Accession Number ID
WOS:A1993LL29000006

 

DC FieldValueLanguage
dc.contributor.authorTsing, NKen_HK
dc.contributor.authorTits, AndrLen_HK
dc.date.accessioned2010-09-06T07:09:11Z-
dc.date.available2010-09-06T07:09:11Z-
dc.date.issued1993en_HK
dc.identifier.citationSystems And Control Letters, 1993, v. 20 n. 6, p. 439-445en_HK
dc.identifier.issn0167-6911en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75232-
dc.description.abstractWe give two simple sufficient conditions under which the multiaffine image in the complex plane of an m-dimensional cube is a convex polygon. A third condition which, in some generic sense, is necessary and sufficient is then obtained. Our conditions involve checking the locations of the image of the vertices of the cube. These results help determine whether a parameterized family of polynomials th stable. © 1993.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconleen_HK
dc.relation.ispartofSystems and Control Lettersen_HK
dc.rightsSystems & Control Letters. Copyright © Elsevier BV.en_HK
dc.subjectmapping theoremen_HK
dc.subjectmultilinear polynomial familiesen_HK
dc.subjectparametric uncertaintyen_HK
dc.subjectRobust stabilityen_HK
dc.titleWhen is the multiaffine image of a cube a convex polygon?en_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0167-6911&volume=20&spage=439&epage=445&date=1993&atitle=When+is+the+multiaffine+image+of+a+cube+a+convex+polygon?en_HK
dc.identifier.emailTsing, NK:nktsing@hku.hken_HK
dc.identifier.authorityTsing, NK=rp00794en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/0167-6911(93)90105-F-
dc.identifier.scopuseid_2-s2.0-0027610670en_HK
dc.identifier.hkuros35390en_HK
dc.identifier.volume20en_HK
dc.identifier.issue6en_HK
dc.identifier.spage439en_HK
dc.identifier.epage445en_HK
dc.identifier.isiWOS:A1993LL29000006-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridTsing, NK=6602663351en_HK
dc.identifier.scopusauthoridTits, AndrL=24757150500en_HK
dc.identifier.issnl0167-6911-

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