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Article: Impulsive consensus for complex dynamical networks with nonidentical nodes and coupling time-delays
Title | Impulsive consensus for complex dynamical networks with nonidentical nodes and coupling time-delays |
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Authors | |
Keywords | Complex Dynamical Networks Consensus Rate Global Exponential Impulsive Consensus Impulsive Consensus Lyapunov-Krasovskii Function Robust Global Exponential Stability Synchronization Time-Delays |
Issue Date | 2011 |
Publisher | Society for Industrial and Applied Mathematics. The Journal's web site is located at http://www.siam.org/journals/sicon.php |
Citation | SIAM Journal On Control And Optimization, 2011, v. 49 n. 2, p. 315-338 How to Cite? |
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. © 2011 Society for Industrial and Applied Mathematics. |
Persistent Identifier | http://hdl.handle.net/10722/169729 |
ISSN | 2023 Impact Factor: 2.2 2023 SCImago Journal Rankings: 1.565 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Liu, B | en_US |
dc.contributor.author | Hill, DJ | en_US |
dc.date.accessioned | 2012-10-25T04:54:28Z | - |
dc.date.available | 2012-10-25T04:54:28Z | - |
dc.date.issued | 2011 | en_US |
dc.identifier.citation | SIAM Journal On Control And Optimization, 2011, v. 49 n. 2, p. 315-338 | en_US |
dc.identifier.issn | 0363-0129 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/169729 | - |
dc.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. © 2011 Society for Industrial and Applied Mathematics. | en_US |
dc.language | eng | en_US |
dc.publisher | Society for Industrial and Applied Mathematics. The Journal's web site is located at http://www.siam.org/journals/sicon.php | - |
dc.relation.ispartof | SIAM Journal on Control and Optimization | en_US |
dc.rights | © 2011 Society for Industrial and Applied Mathematics. First Published in SIAM Journal on Control and Optimization in volume 49, issue 2, published by the Society for Industrial and Applied Mathematics (SIAM). | - |
dc.subject | Complex Dynamical Networks | en_US |
dc.subject | Consensus Rate | en_US |
dc.subject | Global Exponential Impulsive Consensus | en_US |
dc.subject | Impulsive Consensus | en_US |
dc.subject | Lyapunov-Krasovskii Function | en_US |
dc.subject | Robust Global Exponential Stability | en_US |
dc.subject | Synchronization | en_US |
dc.subject | Time-Delays | en_US |
dc.title | Impulsive consensus for complex dynamical networks with nonidentical nodes and coupling time-delays | en_US |
dc.type | Article | en_US |
dc.identifier.email | Hill, DJ: | en_US |
dc.identifier.authority | Hill, DJ=rp01669 | en_US |
dc.description.nature | published_or_final_version | en_US |
dc.identifier.doi | 10.1137/080722060 | en_US |
dc.identifier.scopus | eid_2-s2.0-79957523473 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-79957523473&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 49 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 315 | en_US |
dc.identifier.epage | 338 | en_US |
dc.identifier.isi | WOS:000289972200001 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Liu, B=36079151900 | en_US |
dc.identifier.scopusauthorid | Hill, DJ=35398599500 | en_US |
dc.identifier.issnl | 0363-0129 | - |