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Conference Paper: A Lyapunov approach to analysis of discrete singular systems

TitleA Lyapunov approach to analysis of discrete singular systems
Authors
Issue Date2001
Citation
Proceedings Of The Ieee Conference On Decision And Control, 2001, v. 3, p. 2844-2849 How to Cite?
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.
Persistent Identifierhttp://hdl.handle.net/10722/169802
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorZhang, QLen_US
dc.contributor.authorLiu, WQen_US
dc.contributor.authorHill, DJen_US
dc.date.accessioned2012-10-25T04:55:40Z-
dc.date.available2012-10-25T04:55:40Z-
dc.date.issued2001en_US
dc.identifier.citationProceedings Of The Ieee Conference On Decision And Control, 2001, v. 3, p. 2844-2849en_US
dc.identifier.issn0191-2216en_US
dc.identifier.urihttp://hdl.handle.net/10722/169802-
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.en_US
dc.languageengen_US
dc.relation.ispartofProceedings of the IEEE Conference on Decision and Controlen_US
dc.titleA Lyapunov approach to analysis of discrete singular systemsen_US
dc.typeConference_Paperen_US
dc.identifier.emailHill, DJ:en_US
dc.identifier.authorityHill, DJ=rp01669en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0035711131en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035711131&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume3en_US
dc.identifier.spage2844en_US
dc.identifier.epage2849en_US
dc.identifier.scopusauthoridZhang, QL=7406719568en_US
dc.identifier.scopusauthoridLiu, WQ=7407343628en_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US

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