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Article: Stability and riesz basis property of a star-shaped network of Euler-Bernoulli beams with joint damping
Title | Stability and riesz basis property of a star-shaped network of Euler-Bernoulli beams with joint damping | ||||||
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Authors | |||||||
Keywords | Asymptotic stability Euler-Bernoulli beam Star-shaped network Subspace Riesz basis | ||||||
Issue Date | 2008 | ||||||
Citation | Networks And Heterogeneous Media, 2008, v. 3 n. 4, p. 723-747 How to Cite? | ||||||
Abstract | In this paper we study a star-shaped network of Euler-Bernoulli beams, in which a new geometric condition at the common node is imposed. For the network, we give a method to assert whether or not the system is asymptotically stable. In addition, by spectral analysis of the system operator, we prove that there exists a sequence of its root vectors that forms a Riesz basis with parentheses for the Hilbert state space. © American Institute of Mathematical Sciences. | ||||||
Persistent Identifier | http://hdl.handle.net/10722/58967 | ||||||
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 0.502 | ||||||
ISI Accession Number ID |
Funding Information: This research was supported in part by the Natural Science Foundation of China Grant NSFC-60474017 and by an internal grant from The University of Hong Kong. | ||||||
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Xu, GQ | en_HK |
dc.contributor.author | Yung, SP | en_HK |
dc.date.accessioned | 2010-05-31T03:40:31Z | - |
dc.date.available | 2010-05-31T03:40:31Z | - |
dc.date.issued | 2008 | en_HK |
dc.identifier.citation | Networks And Heterogeneous Media, 2008, v. 3 n. 4, p. 723-747 | en_HK |
dc.identifier.issn | 1556-1801 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/58967 | - |
dc.description.abstract | In this paper we study a star-shaped network of Euler-Bernoulli beams, in which a new geometric condition at the common node is imposed. For the network, we give a method to assert whether or not the system is asymptotically stable. In addition, by spectral analysis of the system operator, we prove that there exists a sequence of its root vectors that forms a Riesz basis with parentheses for the Hilbert state space. © American Institute of Mathematical Sciences. | en_HK |
dc.language | eng | en_HK |
dc.relation.ispartof | Networks and Heterogeneous Media | en_HK |
dc.subject | Asymptotic stability | en_HK |
dc.subject | Euler-Bernoulli beam | en_HK |
dc.subject | Star-shaped network | en_HK |
dc.subject | Subspace Riesz basis | en_HK |
dc.title | Stability and riesz basis property of a star-shaped network of Euler-Bernoulli beams with joint damping | en_HK |
dc.type | Article | 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 | 10.3934/nhm.2008.3.723 | en_HK |
dc.identifier.scopus | eid_2-s2.0-57249108046 | en_HK |
dc.identifier.hkuros | 155600 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-57249108046&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 3 | en_HK |
dc.identifier.issue | 4 | en_HK |
dc.identifier.spage | 723 | en_HK |
dc.identifier.epage | 747 | en_HK |
dc.identifier.isi | WOS:000263056700003 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Xu, GQ=7404263948 | en_HK |
dc.identifier.scopusauthorid | Yung, SP=7006540951 | en_HK |
dc.identifier.issnl | 1556-1801 | - |