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Article: Complete characterization of the spherical spectral set

TitleComplete characterization of the spherical spectral set
Authors
Chesi, G
KeywordsRobustness
Spectral Set
Spherical Uncertainty
Issue Date2002
Citation
Ieee Transactions On Automatic Control, 2002, v. 47 n. 11, p. 1875-1879 How to Cite?
DOI: http://dx.doi.org/10.1109/TAC.2002.804476
AbstractIn this note, the problem of computing the spectral set of any given spherical family of polynomials is considered. An algorithm based on the decomposition of the spectral set in three disjoint subsets, with relate points having the same dimension of the back image in the parameter space, is devised. Moreover, the structure of the polynomial function which characterizes the main subset is analyzed. Such an analysis leads to significant simplifications for boundary generation and bounds computation of the spectral set.
Persistent Identifierhttp://hdl.handle.net/10722/155170
ISSN
0018-9286
2023 Impact Factor: 6.2
2023 SCImago Journal Rankings: 4.501
ISI Accession Number ID
WOS:000179218000009
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.date.accessioned2012-08-08T08:32:10Z-
dc.date.available2012-08-08T08:32:10Z-
dc.date.issued2002en_US
dc.identifier.citationIeee Transactions On Automatic Control, 2002, v. 47 n. 11, p. 1875-1879en_US
dc.identifier.issn0018-9286en_US
dc.identifier.urihttp://hdl.handle.net/10722/155170-
dc.description.abstractIn this note, the problem of computing the spectral set of any given spherical family of polynomials is considered. An algorithm based on the decomposition of the spectral set in three disjoint subsets, with relate points having the same dimension of the back image in the parameter space, is devised. Moreover, the structure of the polynomial function which characterizes the main subset is analyzed. Such an analysis leads to significant simplifications for boundary generation and bounds computation of the spectral set.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Automatic Controlen_US
dc.subjectRobustnessen_US
dc.subjectSpectral Seten_US
dc.subjectSpherical Uncertaintyen_US
dc.titleComplete characterization of the spherical spectral seten_US
dc.typeArticleen_US
dc.identifier.emailChesi, G:chesi@eee.hku.hken_US
dc.identifier.authorityChesi, G=rp00100en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/TAC.2002.804476en_US
dc.identifier.scopuseid_2-s2.0-0036858331en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036858331&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume47en_US
dc.identifier.issue11en_US
dc.identifier.spage1875en_US
dc.identifier.epage1879en_US
dc.identifier.isiWOS:000179218000009-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChesi, G=7006328614en_US
dc.identifier.issnl0018-9286-

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