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Conference Paper: Integral partitioning approach to stability analysis and stabilization of distributed time delay systems

TitleIntegral partitioning approach to stability analysis and stabilization of distributed time delay systems
Authors
KeywordsDelay dependent
Distributed delay
Integral partitioning
Linear matrix inequalities
Stabilization
Issue Date2011
PublisherIFAC.
Citation
The 18th World Congress of the International Federation of Automatic Control (IFAC 2011), Milano, Italy, 28 August-2 September 2011. In Proceedings of the 18th IFAC World Congress, 2011, v. 18 pt. 1, p. 5094–5099 How to Cite?
AbstractIn this paper, the problems of delay-dependent stability analysis and stabilization are investigated for linear continuous-time systems with distributed delay. By introducing an integral partitioning technique, a new form of Lyapunov-Krasovskii functional (LKF) is constructed and improved distributed delay dependent stability conditions are established in terms of linear matrix inequalities (LMIs). Based on the criteria, a design algorithm for a state feedback controller is proposed. The results developed in this paper are less conservative than existing ones in the literature, which is illustrated by several examples. © 2011 IFAC.
Persistent Identifierhttp://hdl.handle.net/10722/166893
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorFeng, Zen_US
dc.contributor.authorLam, Jen_US
dc.date.accessioned2012-09-21T01:43:27Z-
dc.date.available2012-09-21T01:43:27Z-
dc.date.issued2011en_US
dc.identifier.citationThe 18th World Congress of the International Federation of Automatic Control (IFAC 2011), Milano, Italy, 28 August-2 September 2011. In Proceedings of the 18th IFAC World Congress, 2011, v. 18 pt. 1, p. 5094–5099en_US
dc.identifier.isbn978-3-902661-93-7-
dc.identifier.issn1474-6670-
dc.identifier.urihttp://hdl.handle.net/10722/166893-
dc.description.abstractIn this paper, the problems of delay-dependent stability analysis and stabilization are investigated for linear continuous-time systems with distributed delay. By introducing an integral partitioning technique, a new form of Lyapunov-Krasovskii functional (LKF) is constructed and improved distributed delay dependent stability conditions are established in terms of linear matrix inequalities (LMIs). Based on the criteria, a design algorithm for a state feedback controller is proposed. The results developed in this paper are less conservative than existing ones in the literature, which is illustrated by several examples. © 2011 IFAC.-
dc.languageengen_US
dc.publisherIFAC.-
dc.relation.ispartofProceedings of the 18th IFAC World Congressen_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectDelay dependent-
dc.subjectDistributed delay-
dc.subjectIntegral partitioning-
dc.subjectLinear matrix inequalities-
dc.subjectStabilization-
dc.titleIntegral partitioning approach to stability analysis and stabilization of distributed time delay systemsen_US
dc.typeConference_Paperen_US
dc.identifier.emailFeng, Z: oncharge@HKUSUC.hku.hken_US
dc.identifier.emailLam, J: james.lam@hku.hk-
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturepostprint-
dc.identifier.doi10.3182/20110828-6-IT-1002.00032-
dc.identifier.scopuseid_2-s2.0-84864562964-
dc.identifier.hkuros208811en_US
dc.identifier.volume18-
dc.identifier.issuept. 1-
dc.identifier.spage5094en_US
dc.identifier.epage5099en_US
dc.description.otherThe 18th World Congress of the International Federation of Automatic Control (IFAC 2011), Milano, Italy, 28 August-2 September 2011. In Proceedings of the 18th IFAC World Congress, 2011, v. 18 pt. 1, p. 5094–5099-

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