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Article: Robust stability and stabilisation of 2D discrete state-delayed systems

TitleRobust stability and stabilisation of 2D discrete state-delayed systems
Authors
Paszke, WLam, JGałkowski, KXu, SLin, Z
KeywordsDiscrete Linear State-Delayed 2D Systems
Linear Matrix Inequality
Robust Stability
Stabilisation
Issue Date2004
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle
Citation
Systems And Control Letters, 2004, v. 51 n. 3-4, p. 277-291 How to Cite?
DOI: http://dx.doi.org/10.1016/j.sysconle.2003.09.003
AbstractIn this paper, we first present sufficient stability and robust stability conditions for discrete linear state-delayed 2D systems in terms of linear matrix inequalities. All results are obtained with Fornasini-Marchesini delay model but appropriate transformation to the corresponding Roesser form is provided as well. Generalisation to the multiple state-delayed case is also given. Then the stabilisation and robust stabilisation using static state feedback are studied. Stabilising feedback gain matrices are constructed based on the solutions of certain linear matrix inequalities. An numerical example is used to illustrate the effectiveness of the approach. © 2003 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/156721
ISSN
0167-6911
2021 Impact Factor: 2.742
2020 SCImago Journal Rankings: 1.289
ISI Accession Number ID
WOS:000189082400011
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorPaszke, Wen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorGałkowski, Ken_US
dc.contributor.authorXu, Sen_US
dc.contributor.authorLin, Zen_US
dc.date.accessioned2012-08-08T08:43:41Z-
dc.date.available2012-08-08T08:43:41Z-
dc.date.issued2004en_US
dc.identifier.citationSystems And Control Letters, 2004, v. 51 n. 3-4, p. 277-291en_US
dc.identifier.issn0167-6911en_US
dc.identifier.urihttp://hdl.handle.net/10722/156721-
dc.description.abstractIn this paper, we first present sufficient stability and robust stability conditions for discrete linear state-delayed 2D systems in terms of linear matrix inequalities. All results are obtained with Fornasini-Marchesini delay model but appropriate transformation to the corresponding Roesser form is provided as well. Generalisation to the multiple state-delayed case is also given. Then the stabilisation and robust stabilisation using static state feedback are studied. Stabilising feedback gain matrices are constructed based on the solutions of certain linear matrix inequalities. An numerical example is used to illustrate the effectiveness of the approach. © 2003 Elsevier 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 Linear State-Delayed 2D Systemsen_US
dc.subjectLinear Matrix Inequalityen_US
dc.subjectRobust Stabilityen_US
dc.subjectStabilisationen_US
dc.titleRobust stability and stabilisation of 2D discrete state-delayed systemsen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.sysconle.2003.09.003en_US
dc.identifier.scopuseid_2-s2.0-1042288928en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-1042288928&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume51en_US
dc.identifier.issue3-4en_US
dc.identifier.spage277en_US
dc.identifier.epage291en_US
dc.identifier.isiWOS:000189082400011-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridPaszke, W=6602647840en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridGałkowski, K=7003620439en_US
dc.identifier.scopusauthoridXu, S=7404438591en_US
dc.identifier.scopusauthoridLin, Z=7404229052en_US
dc.identifier.issnl0167-6911-

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