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Article: Impulsive consensus for complex dynamical networks with nonidentical nodes and coupling time-delays

TitleImpulsive consensus for complex dynamical networks with nonidentical nodes and coupling time-delays
Authors
KeywordsComplex Dynamical Networks
Consensus Rate
Global Exponential Impulsive Consensus
Impulsive Consensus
Lyapunov-Krasovskii Function
Robust Global Exponential Stability
Synchronization
Time-Delays
Issue Date2011
PublisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SICON
Citation
SIAM Journal On Control And Optimization, 2011, v. 49 n. 2, p. 315-338 How to Cite?
AbstractThis paper investigates the problem of global consensus between a complex dynamical network (CDN) and a known goal signal by designing an impulsive consensus control scheme. The dynamical network is complex with respect to the uncertainties, nonidentical nodes, and coupling time-delays. The goal signal can be a measurable vector function or a solution of a dynamical system. By utilizing the Lyapunov function and Lyapunov-Krasovskii functional methods, robust global exponential stability criteria are derived for the error system, under which global exponential impulsive consensus is achieved for the CDN. These criteria are expressed in terms of linear matrix inequalities (LMIs) and algebraic inequalities. Thus, the impulsive controller can be easily designed by solving the derived inequalities. Meanwhile, the estimations of the consensus rate for global exponential consensus are also obtained. Two examples with numerical simulations are worked out for illustration. © 2011 Society for Industrial and Applied Mathematics.
Persistent Identifierhttp://hdl.handle.net/10722/169729
ISSN
2015 Impact Factor: 1.491
2015 SCImago Journal Rankings: 1.904
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLiu, Ben_US
dc.contributor.authorHill, DJen_US
dc.date.accessioned2012-10-25T04:54:28Z-
dc.date.available2012-10-25T04:54:28Z-
dc.date.issued2011en_US
dc.identifier.citationSIAM Journal On Control And Optimization, 2011, v. 49 n. 2, p. 315-338en_US
dc.identifier.issn0363-0129en_US
dc.identifier.urihttp://hdl.handle.net/10722/169729-
dc.description.abstractThis paper investigates the problem of global consensus between a complex dynamical network (CDN) and a known goal signal by designing an impulsive consensus control scheme. The dynamical network is complex with respect to the uncertainties, nonidentical nodes, and coupling time-delays. The goal signal can be a measurable vector function or a solution of a dynamical system. By utilizing the Lyapunov function and Lyapunov-Krasovskii functional methods, robust global exponential stability criteria are derived for the error system, under which global exponential impulsive consensus is achieved for the CDN. These criteria are expressed in terms of linear matrix inequalities (LMIs) and algebraic inequalities. Thus, the impulsive controller can be easily designed by solving the derived inequalities. Meanwhile, the estimations of the consensus rate for global exponential consensus are also obtained. Two examples with numerical simulations are worked out for illustration. © 2011 Society for Industrial and Applied Mathematics.en_US
dc.languageengen_US
dc.publisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SICONen_US
dc.relation.ispartofSIAM Journal on Control and Optimizationen_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectComplex Dynamical Networksen_US
dc.subjectConsensus Rateen_US
dc.subjectGlobal Exponential Impulsive Consensusen_US
dc.subjectImpulsive Consensusen_US
dc.subjectLyapunov-Krasovskii Functionen_US
dc.subjectRobust Global Exponential Stabilityen_US
dc.subjectSynchronizationen_US
dc.subjectTime-Delaysen_US
dc.titleImpulsive consensus for complex dynamical networks with nonidentical nodes and coupling time-delaysen_US
dc.typeArticleen_US
dc.identifier.emailHill, DJ:en_US
dc.identifier.authorityHill, DJ=rp01669en_US
dc.description.naturepublished_or_final_versionen_US
dc.identifier.doi10.1137/080722060en_US
dc.identifier.scopuseid_2-s2.0-79957523473en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79957523473&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume49en_US
dc.identifier.issue2en_US
dc.identifier.spage315en_US
dc.identifier.epage338en_US
dc.identifier.isiWOS:000289972200001-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLiu, B=36079151900en_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US

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