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- Publisher Website: 10.1016/j.chaos.2007.09.075
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Article: Synchronization of complex delayed dynamical networks with nonlinearly coupled nodes
Title | Synchronization of complex delayed dynamical networks with nonlinearly coupled nodes |
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Authors | |
Issue Date | 2009 |
Publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/chaos |
Citation | Chaos, Solitons And Fractals, 2009, v. 40 n. 3, p. 1506-1519 How to Cite? |
Abstract | In this paper, we study the global synchronization of nonlinearly coupled complex delayed dynamical networks with both directed and undirected graphs. Via Lyapunov-Krasovskii stability theory and the network topology, we investigate the global synchronization of such networks. Under the assumption that coupling coefficients are known, a family of delay-independent decentralized nonlinear feedback controllers are designed to globally synchronize the networks. When coupling coefficients are unavailable, an adaptive mechanism is introduced to synthesize a family of delay-independent decentralized adaptive controllers which guarantee the global synchronization of the uncertain networks. Two numerical examples of directed and undirected delayed dynamical network are given, respectively, using the Lorenz system as the nodes of the networks, which demonstrate the effectiveness of proposed results. © 2007 Elsevier Ltd. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/169717 |
ISSN | 2023 Impact Factor: 5.3 2023 SCImago Journal Rankings: 1.349 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Liu, T | en_US |
dc.contributor.author | Zhao, J | en_US |
dc.contributor.author | Hill, DJ | en_US |
dc.date.accessioned | 2012-10-25T04:54:22Z | - |
dc.date.available | 2012-10-25T04:54:22Z | - |
dc.date.issued | 2009 | en_US |
dc.identifier.citation | Chaos, Solitons And Fractals, 2009, v. 40 n. 3, p. 1506-1519 | en_US |
dc.identifier.issn | 0960-0779 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/169717 | - |
dc.description.abstract | In this paper, we study the global synchronization of nonlinearly coupled complex delayed dynamical networks with both directed and undirected graphs. Via Lyapunov-Krasovskii stability theory and the network topology, we investigate the global synchronization of such networks. Under the assumption that coupling coefficients are known, a family of delay-independent decentralized nonlinear feedback controllers are designed to globally synchronize the networks. When coupling coefficients are unavailable, an adaptive mechanism is introduced to synthesize a family of delay-independent decentralized adaptive controllers which guarantee the global synchronization of the uncertain networks. Two numerical examples of directed and undirected delayed dynamical network are given, respectively, using the Lorenz system as the nodes of the networks, which demonstrate the effectiveness of proposed results. © 2007 Elsevier Ltd. All rights reserved. | en_US |
dc.language | eng | en_US |
dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/chaos | en_US |
dc.relation.ispartof | Chaos, Solitons and Fractals | en_US |
dc.title | Synchronization of complex delayed dynamical networks with nonlinearly coupled nodes | 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 | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1016/j.chaos.2007.09.075 | en_US |
dc.identifier.scopus | eid_2-s2.0-65349129381 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-65349129381&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 40 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.spage | 1506 | en_US |
dc.identifier.epage | 1519 | en_US |
dc.identifier.isi | WOS:000266418000052 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Liu, T=36071745600 | en_US |
dc.identifier.scopusauthorid | Zhao, J=8856756500 | en_US |
dc.identifier.scopusauthorid | Hill, DJ=35398599500 | en_US |
dc.identifier.issnl | 0960-0779 | - |