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Article: Exponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology
Title | Exponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology |
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Authors | |
Keywords | Average dwell time Complex dynamical network Exponential synchronization Switched systems Switching topology |
Issue Date | 2010 |
Publisher | IEEE. The Journal's web site is located at http://tcas1.polito.it/ |
Citation | IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2010, v. 57 n. 11, p. 2967-2980 (Article no. 5518337) How to Cite? |
Abstract | This paper studies the local and global exponential synchronization of a complex dynamical network with switching topology and time-varying coupling delays. By using stability theory of switched systems and the network topology, the synchronization of such a network under some special switching signals is investigated. Firstly, under the assumption that all subnetworks are self-synchronizing, a delay-dependent sufficient condition is given in terms of linear matrix inequalities, which guarantees the solvability of the local synchronization problem under an average dwell time scheme. Then this result is extended to the situation that not all subnetworks are self-synchronizing. For the latter case, in addition to average dwell time, an extra condition on the ratio of the total activation time of self-synchronizing and nonsynchronizing subnetworks is needed to achieve synchronization of the entire switched network. The global synchronization of a network whose isolate dynamics is of a particular form is also studied. Three different examples of delayed dynamical networks with switching topology are given, which demonstrate the effectiveness of obtained results. © 2006 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/213535 |
ISSN | 2021 Impact Factor: 4.140 2020 SCImago Journal Rankings: 0.861 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Liu, T | - |
dc.contributor.author | Zhao, J | - |
dc.contributor.author | Hill, DJ | - |
dc.date.accessioned | 2015-08-05T02:53:52Z | - |
dc.date.available | 2015-08-05T02:53:52Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2010, v. 57 n. 11, p. 2967-2980 (Article no. 5518337) | - |
dc.identifier.issn | 1549-8328 | - |
dc.identifier.uri | http://hdl.handle.net/10722/213535 | - |
dc.description.abstract | This paper studies the local and global exponential synchronization of a complex dynamical network with switching topology and time-varying coupling delays. By using stability theory of switched systems and the network topology, the synchronization of such a network under some special switching signals is investigated. Firstly, under the assumption that all subnetworks are self-synchronizing, a delay-dependent sufficient condition is given in terms of linear matrix inequalities, which guarantees the solvability of the local synchronization problem under an average dwell time scheme. Then this result is extended to the situation that not all subnetworks are self-synchronizing. For the latter case, in addition to average dwell time, an extra condition on the ratio of the total activation time of self-synchronizing and nonsynchronizing subnetworks is needed to achieve synchronization of the entire switched network. The global synchronization of a network whose isolate dynamics is of a particular form is also studied. Three different examples of delayed dynamical networks with switching topology are given, which demonstrate the effectiveness of obtained results. © 2006 IEEE. | - |
dc.language | eng | - |
dc.publisher | IEEE. The Journal's web site is located at http://tcas1.polito.it/ | - |
dc.relation.ispartof | IEEE Transactions on Circuits and Systems Part 1: Regular Papers | - |
dc.rights | ©2010 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. | - |
dc.subject | Average dwell time | - |
dc.subject | Complex dynamical network | - |
dc.subject | Exponential synchronization | - |
dc.subject | Switched systems | - |
dc.subject | Switching topology | - |
dc.title | Exponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology | - |
dc.type | Article | - |
dc.identifier.email | Liu, T: taoliu@hku.hk | - |
dc.identifier.email | Hill, DJ: dhill@eee.hku.hk | - |
dc.identifier.authority | Liu, T=rp02045 | - |
dc.identifier.authority | Hill, DJ=rp01669 | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1109/TCSI.2010.2052508 | - |
dc.identifier.scopus | eid_2-s2.0-78149469553 | - |
dc.identifier.volume | 57 | - |
dc.identifier.issue | 11 | - |
dc.identifier.spage | 2967 | - |
dc.identifier.epage | 2980 (Article no. 5518337) | - |
dc.identifier.isi | WOS:000284088600014 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 1549-8328 | - |