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Article: A lyapunov approach to analysis of discrete singular systems

TitleA lyapunov approach to analysis of discrete singular systems
Authors
Zhang, QLLiu, WQHill, D
KeywordsDiscrete-Time Singular Systems
Lyapunov Equation
Pole Clustering
Stability
Issue Date2002
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle
Citation
Systems And Control Letters, 2002, v. 45 n. 3, p. 237-247 How to Cite?
DOI: http://dx.doi.org/10.1016/S0167-6911(01)00184-0
AbstractIn this paper, a new type generalized Lyapunov equation for discrete singular systems is proposed. Then it is applied to study problems such as pole clustering, controllability and observability for discrete singular systems. First, some necessary and sufficient conditions for pole clustering are derived via the solution of this new type Lyapunov equation. Further, the relationship between the solution of the Lyapunov equation and structure properties of discrete singular systems will be investigated based on these results. Finally, a type of generalized Riccati equation is proposed and its solution is used to design state feedback law for discrete singular systems such that all the finite poles of the closed-loop systems are clustered into a specified disk. © 2002 Elsevier Science B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/169682
ISSN
0167-6911
2021 Impact Factor: 2.742
2020 SCImago Journal Rankings: 1.289
ISI Accession Number ID
WOS:000174148800008
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorZhang, QLen_US
dc.contributor.authorLiu, WQen_US
dc.contributor.authorHill, Den_US
dc.date.accessioned2012-10-25T04:54:09Z-
dc.date.available2012-10-25T04:54:09Z-
dc.date.issued2002en_US
dc.identifier.citationSystems And Control Letters, 2002, v. 45 n. 3, p. 237-247en_US
dc.identifier.issn0167-6911en_US
dc.identifier.urihttp://hdl.handle.net/10722/169682-
dc.description.abstractIn this paper, a new type generalized Lyapunov equation for discrete singular systems is proposed. Then it is applied to study problems such as pole clustering, controllability and observability for discrete singular systems. First, some necessary and sufficient conditions for pole clustering are derived via the solution of this new type Lyapunov equation. Further, the relationship between the solution of the Lyapunov equation and structure properties of discrete singular systems will be investigated based on these results. Finally, a type of generalized Riccati equation is proposed and its solution is used to design state feedback law for discrete singular systems such that all the finite poles of the closed-loop systems are clustered into a specified disk. © 2002 Elsevier Science B.V. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconleen_US
dc.relation.ispartofSystems and Control Lettersen_US
dc.subjectDiscrete-Time Singular Systemsen_US
dc.subjectLyapunov Equationen_US
dc.subjectPole Clusteringen_US
dc.subjectStabilityen_US
dc.titleA lyapunov approach to analysis of discrete singular systemsen_US
dc.typeArticleen_US
dc.identifier.emailHill, D:en_US
dc.identifier.authorityHill, D=rp01669en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/S0167-6911(01)00184-0en_US
dc.identifier.scopuseid_2-s2.0-0037086852en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037086852&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume45en_US
dc.identifier.issue3en_US
dc.identifier.spage237en_US
dc.identifier.epage247en_US
dc.identifier.isiWOS:000174148800008-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridZhang, QL=7406719568en_US
dc.identifier.scopusauthoridLiu, WQ=7407343628en_US
dc.identifier.scopusauthoridHill, D=35398599500en_US
dc.identifier.issnl0167-6911-

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