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Article: A constructive approach to stabilizability and stabilization of a class of nD systems

TitleA constructive approach to stabilizability and stabilization of a class of nD systems
Authors
Lin, ZLam, JGalkowski, KXu, S
KeywordsGröbner Bases
Multidimensional Systems
Reduced Minors
Stabilizability
Stabilization
Variety
Issue Date2001
PublisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0923-6082
Citation
Multidimensional Systems And Signal Processing, 2001, v. 12 n. 3-4, p. 329-343 How to Cite?
DOI: http://dx.doi.org/10.1023/A:1011909707499
AbstractThis paper presents a constructive approach to the problem of output feedback stabilizability and stabilization of a class of linear multidimensional (nD, N > 2) systems, whose varieties of the ideals generated by the reduced minors are infinite with respect to not more than two variables. The main idea of the proposed approach is to decompose the variety of an nD system in this class into a union of several varieties, each of which is defined by polynomials in just two variables. The new method can be considered as a combination of Gröbner bases and existing results on two-dimensional (2D) digital filter stability tests and on stabilizability and stabilization of 2D systems. An example is illustrated.
Persistent Identifierhttp://hdl.handle.net/10722/156598
ISSN
0923-6082
2023 Impact Factor: 1.7
2023 SCImago Journal Rankings: 0.499
ISI Accession Number ID
WOS:000171199500006
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorLin, Zen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorGalkowski, Ken_US
dc.contributor.authorXu, Sen_US
dc.date.accessioned2012-08-08T08:43:08Z-
dc.date.available2012-08-08T08:43:08Z-
dc.date.issued2001en_US
dc.identifier.citationMultidimensional Systems And Signal Processing, 2001, v. 12 n. 3-4, p. 329-343en_US
dc.identifier.issn0923-6082en_US
dc.identifier.urihttp://hdl.handle.net/10722/156598-
dc.description.abstractThis paper presents a constructive approach to the problem of output feedback stabilizability and stabilization of a class of linear multidimensional (nD, N > 2) systems, whose varieties of the ideals generated by the reduced minors are infinite with respect to not more than two variables. The main idea of the proposed approach is to decompose the variety of an nD system in this class into a union of several varieties, each of which is defined by polynomials in just two variables. The new method can be considered as a combination of Gröbner bases and existing results on two-dimensional (2D) digital filter stability tests and on stabilizability and stabilization of 2D systems. An example is illustrated.en_US
dc.languageengen_US
dc.publisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0923-6082en_US
dc.relation.ispartofMultidimensional Systems and Signal Processingen_US
dc.subjectGröbner Basesen_US
dc.subjectMultidimensional Systemsen_US
dc.subjectReduced Minorsen_US
dc.subjectStabilizabilityen_US
dc.subjectStabilizationen_US
dc.subjectVarietyen_US
dc.titleA constructive approach to stabilizability and stabilization of a class of nD systemsen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1023/A:1011909707499en_US
dc.identifier.scopuseid_2-s2.0-0035385641en_US
dc.identifier.hkuros70340-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035385641&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume12en_US
dc.identifier.issue3-4en_US
dc.identifier.spage329en_US
dc.identifier.epage343en_US
dc.identifier.isiWOS:000171199500006-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLin, Z=7404229052en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridGalkowski, K=7003620439en_US
dc.identifier.scopusauthoridXu, S=7404438591en_US
dc.identifier.issnl0923-6082-

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