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Article: Discrete bilinear stochastic systems with time-varying delay: Stability analysis and control synthesis

TitleDiscrete bilinear stochastic systems with time-varying delay: Stability analysis and control synthesis
Authors
Issue Date2007
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/chaos
Citation
Chaos, Solitons And Fractals, 2007, v. 34 n. 2, p. 394-404 How to Cite?
AbstractThis paper deals with the problems of stability analysis and static output-feedback stabilization for discrete stochastic systems with time-varying state delay. A delay-dependent condition for mean-square asymptotic stability is first established in terms of linear matrix inequalities (LMIs), which can be solved efficiently via available numerical software. Connection with an existing result on related topics is thoroughly discussed. Based on the established stability criterion, the problem of static output-feedback stabilization is then investigated, which is cast into a nonlinear minimization problem involving LMI constraints. An iterative algorithm making use of sequential linear programming matrix method (SLPMM) is proposed to solve the nonlinear minimization problem. A numerical example is provided to demonstrate the feasibility and applicability of the proposed approaches. © 2006 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/156887
ISSN
2015 Impact Factor: 1.611
2015 SCImago Journal Rankings: 0.679
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorGao, Hen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorWang, Zen_US
dc.date.accessioned2012-08-08T08:44:25Z-
dc.date.available2012-08-08T08:44:25Z-
dc.date.issued2007en_US
dc.identifier.citationChaos, Solitons And Fractals, 2007, v. 34 n. 2, p. 394-404en_US
dc.identifier.issn0960-0779en_US
dc.identifier.urihttp://hdl.handle.net/10722/156887-
dc.description.abstractThis paper deals with the problems of stability analysis and static output-feedback stabilization for discrete stochastic systems with time-varying state delay. A delay-dependent condition for mean-square asymptotic stability is first established in terms of linear matrix inequalities (LMIs), which can be solved efficiently via available numerical software. Connection with an existing result on related topics is thoroughly discussed. Based on the established stability criterion, the problem of static output-feedback stabilization is then investigated, which is cast into a nonlinear minimization problem involving LMI constraints. An iterative algorithm making use of sequential linear programming matrix method (SLPMM) is proposed to solve the nonlinear minimization problem. A numerical example is provided to demonstrate the feasibility and applicability of the proposed approaches. © 2006 Elsevier Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/chaosen_US
dc.relation.ispartofChaos, Solitons and Fractalsen_US
dc.titleDiscrete bilinear stochastic systems with time-varying delay: Stability analysis and control synthesisen_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.chaos.2006.03.027en_US
dc.identifier.scopuseid_2-s2.0-34147129623en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34147129623&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume34en_US
dc.identifier.issue2en_US
dc.identifier.spage394en_US
dc.identifier.epage404en_US
dc.identifier.isiWOS:000247022100021-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridGao, H=7402971422en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridWang, Z=7410037481en_US

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