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Article: Necessary conditions for the exact observability of systems on Hilbert spaces
Title | Necessary conditions for the exact observability of systems on Hilbert spaces |
---|---|
Authors | |
Keywords | Admissible observation operator Degree of unboundedness Exact observability Infinite dimensional linear system |
Issue Date | 2008 |
Publisher | Elsevier 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? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/75136 |
ISSN | 2023 Impact Factor: 2.1 2023 SCImago Journal Rankings: 1.503 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Xu, GQ | en_HK |
dc.contributor.author | Liu, C | en_HK |
dc.contributor.author | Yung, SP | en_HK |
dc.date.accessioned | 2010-09-06T07:08:16Z | - |
dc.date.available | 2010-09-06T07:08:16Z | - |
dc.date.issued | 2008 | en_HK |
dc.identifier.citation | Systems And Control Letters, 2008, v. 57 n. 3, p. 222-227 | en_HK |
dc.identifier.issn | 0167-6911 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/75136 | - |
dc.description.abstract | In 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.language | eng | en_HK |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle | en_HK |
dc.relation.ispartof | Systems and Control Letters | en_HK |
dc.rights | Systems & Control Letters. Copyright © Elsevier BV. | en_HK |
dc.subject | Admissible observation operator | en_HK |
dc.subject | Degree of unboundedness | en_HK |
dc.subject | Exact observability | en_HK |
dc.subject | Infinite dimensional linear system | en_HK |
dc.title | Necessary conditions for the exact observability of systems on Hilbert spaces | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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+spaces | en_HK |
dc.identifier.email | Yung, SP:spyung@hkucc.hku.hk | en_HK |
dc.identifier.authority | Yung, SP=rp00838 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.sysconle.2007.08.006 | en_HK |
dc.identifier.scopus | eid_2-s2.0-43049109546 | en_HK |
dc.identifier.hkuros | 152036 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-43049109546&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 57 | en_HK |
dc.identifier.issue | 3 | en_HK |
dc.identifier.spage | 222 | en_HK |
dc.identifier.epage | 227 | en_HK |
dc.identifier.eissn | 1872-7956 | - |
dc.identifier.isi | WOS:000253585200005 | - |
dc.publisher.place | Netherlands | en_HK |
dc.identifier.scopusauthorid | Xu, GQ=7404263948 | en_HK |
dc.identifier.scopusauthorid | Liu, C=25937323400 | en_HK |
dc.identifier.scopusauthorid | Yung, SP=7006540951 | en_HK |
dc.identifier.issnl | 0167-6911 | - |