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Article: Necessary conditions for the exact observability of systems on Hilbert spaces

TitleNecessary conditions for the exact observability of systems on Hilbert spaces
Authors
Xu, GQLiu, CYung, SP
KeywordsAdmissible observation operator
Degree of unboundedness
Exact observability
Infinite dimensional linear system
Issue Date2008
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle
Citation
Systems And Control Letters, 2008, v. 57 n. 3, p. 222-227 How to Cite?
DOI: http://dx.doi.org/10.1016/j.sysconle.2007.08.006
AbstractIn this paper, we introduce the zero class of admissible observation operators, for which the norm of the output map tends to zero as the time tends to zero. We show that for such an observation operator, exact observability implies that the semigroup of the system is bounded from below. In addition, if the semigroup generator has no residual spectrum, then the semigroup can be extended to a C0 group. © 2007 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/75136
ISSN
0167-6911
2023 Impact Factor: 2.1
2023 SCImago Journal Rankings: 1.503
ISI Accession Number ID
WOS:000253585200005
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorXu, GQen_HK
dc.contributor.authorLiu, Cen_HK
dc.contributor.authorYung, SPen_HK
dc.date.accessioned2010-09-06T07:08:16Z-
dc.date.available2010-09-06T07:08:16Z-
dc.date.issued2008en_HK
dc.identifier.citationSystems And Control Letters, 2008, v. 57 n. 3, p. 222-227en_HK
dc.identifier.issn0167-6911en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75136-
dc.description.abstractIn this paper, we introduce the zero class of admissible observation operators, for which the norm of the output map tends to zero as the time tends to zero. We show that for such an observation operator, exact observability implies that the semigroup of the system is bounded from below. In addition, if the semigroup generator has no residual spectrum, then the semigroup can be extended to a C0 group. © 2007 Elsevier B.V. All rights reserved.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.subjectAdmissible observation operatoren_HK
dc.subjectDegree of unboundednessen_HK
dc.subjectExact observabilityen_HK
dc.subjectInfinite dimensional linear systemen_HK
dc.titleNecessary conditions for the exact observability of systems on Hilbert spacesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0167-6911&volume=57 Issue 3&spage=222&epage=227&date=2008&atitle=Necessary+conditions+for+the+exact+observability+of+systems+on+Hilbert+spacesen_HK
dc.identifier.emailYung, SP:spyung@hkucc.hku.hken_HK
dc.identifier.authorityYung, SP=rp00838en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.sysconle.2007.08.006en_HK
dc.identifier.scopuseid_2-s2.0-43049109546en_HK
dc.identifier.hkuros152036en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-43049109546&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume57en_HK
dc.identifier.issue3en_HK
dc.identifier.spage222en_HK
dc.identifier.epage227en_HK
dc.identifier.eissn1872-7956-
dc.identifier.isiWOS:000253585200005-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridXu, GQ=7404263948en_HK
dc.identifier.scopusauthoridLiu, C=25937323400en_HK
dc.identifier.scopusauthoridYung, SP=7006540951en_HK
dc.identifier.issnl0167-6911-

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