File Download
 
Links for fulltext
(May Require Subscription)
 
Supplementary

Article: Impulsive consensus for complex dynamical networks with nonidentical nodes and coupling time-delays
  • Basic View
  • Metadata View
  • XML View
TitleImpulsive consensus for complex dynamical networks with nonidentical nodes and coupling time-delays
 
AuthorsLiu, B2
Hill, DJ1
 
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
 
CitationSIAM Journal On Control And Optimization, 2011, v. 49 n. 2, p. 315-338 [How to Cite?]
DOI: http://dx.doi.org/10.1137/080722060
 
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.
 
ISSN0363-0129
2013 Impact Factor: 1.389
 
DOIhttp://dx.doi.org/10.1137/080722060
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorLiu, B
 
dc.contributor.authorHill, DJ
 
dc.date.accessioned2012-10-25T04:54:28Z
 
dc.date.available2012-10-25T04:54:28Z
 
dc.date.issued2011
 
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.
 
dc.description.naturePublished_or_final_version
 
dc.identifier.citationSIAM Journal On Control And Optimization, 2011, v. 49 n. 2, p. 315-338 [How to Cite?]
DOI: http://dx.doi.org/10.1137/080722060
 
dc.identifier.doihttp://dx.doi.org/10.1137/080722060
 
dc.identifier.epage338
 
dc.identifier.issn0363-0129
2013 Impact Factor: 1.389
 
dc.identifier.issue2
 
dc.identifier.scopuseid_2-s2.0-79957523473
 
dc.identifier.spage315
 
dc.identifier.urihttp://hdl.handle.net/10722/169729
 
dc.identifier.volume49
 
dc.languageeng
 
dc.publisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SICON
 
dc.publisher.placeUnited States
 
dc.relation.ispartofSIAM Journal on Control and Optimization
 
dc.relation.referencesReferences in Scopus
 
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License
 
dc.subjectComplex Dynamical Networks
 
dc.subjectConsensus Rate
 
dc.subjectGlobal Exponential Impulsive Consensus
 
dc.subjectImpulsive Consensus
 
dc.subjectLyapunov-Krasovskii Function
 
dc.subjectRobust Global Exponential Stability
 
dc.subjectSynchronization
 
dc.subjectTime-Delays
 
dc.titleImpulsive consensus for complex dynamical networks with nonidentical nodes and coupling time-delays
 
dc.typeArticle
 
<?xml encoding="utf-8" version="1.0"?>
<item><contributor.author>Liu, B</contributor.author>
<contributor.author>Hill, DJ</contributor.author>
<date.accessioned>2012-10-25T04:54:28Z</date.accessioned>
<date.available>2012-10-25T04:54:28Z</date.available>
<date.issued>2011</date.issued>
<identifier.citation>SIAM Journal On Control And Optimization, 2011, v. 49 n. 2, p. 315-338</identifier.citation>
<identifier.issn>0363-0129</identifier.issn>
<identifier.uri>http://hdl.handle.net/10722/169729</identifier.uri>
<description.abstract>This 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. &#169; 2011 Society for Industrial and Applied Mathematics.</description.abstract>
<language>eng</language>
<publisher>Society for Industrial and Applied Mathematics. The Journal&apos;s web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SICON</publisher>
<relation.ispartof>SIAM Journal on Control and Optimization</relation.ispartof>
<rights>Creative Commons: Attribution 3.0 Hong Kong License</rights>
<subject>Complex Dynamical Networks</subject>
<subject>Consensus Rate</subject>
<subject>Global Exponential Impulsive Consensus</subject>
<subject>Impulsive Consensus</subject>
<subject>Lyapunov-Krasovskii Function</subject>
<subject>Robust Global Exponential Stability</subject>
<subject>Synchronization</subject>
<subject>Time-Delays</subject>
<title>Impulsive consensus for complex dynamical networks with nonidentical nodes and coupling time-delays</title>
<type>Article</type>
<description.nature>Published_or_final_version</description.nature>
<identifier.doi>10.1137/080722060</identifier.doi>
<identifier.scopus>eid_2-s2.0-79957523473</identifier.scopus>
<relation.references>http://www.scopus.com/mlt/select.url?eid=2-s2.0-79957523473&amp;selection=ref&amp;src=s&amp;origin=recordpage</relation.references>
<identifier.volume>49</identifier.volume>
<identifier.issue>2</identifier.issue>
<identifier.spage>315</identifier.spage>
<identifier.epage>338</identifier.epage>
<publisher.place>United States</publisher.place>
<bitstream.url>http://hub.hku.hk/bitstream/10722/169729/1/content.pdf</bitstream.url>
</item>
Author Affiliations
  1. University of Sydney
  2. Australian National University