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Article: Lyapunov and Riccati equations of discrete-time descriptor systems

TitleLyapunov and Riccati equations of discrete-time descriptor systems
Authors
Zhang, LLam, JZhang, Q
Issue Date1999
PublisherIEEE.
Citation
Ieee Transactions On Automatic Control, 1999, v. 44 n. 11, p. 2134-2139 How to Cite?
DOI: http://dx.doi.org/10.1109/9.802931
AbstractIn this paper, we further develop the generalized Lyapunov equations for discrete-time descriptor systems given by Bender. We associate a stable discrete-time descriptor system with a Lyapunov equation which has a unique solution. Furthermore, under the assumptions of reachability and observability, the solutions are guaranteed to be positive definite. All results are valid for causal and noncausal descriptor systems. This provides a unification of Lyapunov equations and theories established for both normal and descriptor systems. Based on the developed Lyapunov equation, a Riccati equation is also obtained for solving the state-feedback stabilization problem.
Persistent Identifierhttp://hdl.handle.net/10722/43032
ISSN
0018-9286
2023 Impact Factor: 6.2
2023 SCImago Journal Rankings: 4.501
ISI Accession Number ID
WOS:000083713900024
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorZhang, Len_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorZhang, Qen_HK
dc.date.accessioned2007-03-23T04:37:17Z-
dc.date.available2007-03-23T04:37:17Z-
dc.date.issued1999en_HK
dc.identifier.citationIeee Transactions On Automatic Control, 1999, v. 44 n. 11, p. 2134-2139en_HK
dc.identifier.issn0018-9286en_HK
dc.identifier.urihttp://hdl.handle.net/10722/43032-
dc.description.abstractIn this paper, we further develop the generalized Lyapunov equations for discrete-time descriptor systems given by Bender. We associate a stable discrete-time descriptor system with a Lyapunov equation which has a unique solution. Furthermore, under the assumptions of reachability and observability, the solutions are guaranteed to be positive definite. All results are valid for causal and noncausal descriptor systems. This provides a unification of Lyapunov equations and theories established for both normal and descriptor systems. Based on the developed Lyapunov equation, a Riccati equation is also obtained for solving the state-feedback stabilization problem.en_HK
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dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Automatic Controlen_HK
dc.rights©1999 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.titleLyapunov and Riccati equations of discrete-time descriptor systemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0018-9286&volume=44&issue=11&spage=2134&epage=2139&date=1999&atitle=Lyapunov+and+Riccati+equations+of+discrete-time+descriptor+systemsen_HK
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/9.802931en_HK
dc.identifier.scopuseid_2-s2.0-0033322623en_HK
dc.identifier.hkuros51929-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033322623&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume44en_HK
dc.identifier.issue11en_HK
dc.identifier.spage2134en_HK
dc.identifier.epage2139en_HK
dc.identifier.isiWOS:000083713900024-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridZhang, L=9039499900en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridZhang, Q=7406719568en_HK
dc.identifier.issnl0018-9286-

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