Skip navigation
Skip navigation

Exponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology

Liu, Tao; Zhao, Jun; Hill, David

Description

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...[Show more]

dc.contributor.authorLiu, Tao
dc.contributor.authorZhao, Jun
dc.contributor.authorHill, David
dc.date.accessioned2015-12-10T22:57:05Z
dc.identifier.issn1549-8328
dc.identifier.urihttp://hdl.handle.net/1885/60502
dc.description.abstractThis 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.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)
dc.sourceIEEE Transactions on Circuits and Systems Part I: Regular Papers
dc.subjectKeywords: Average dwell time; Complex dynamical networks; Exponential synchronization; Switched system; switching topology; Time-varying delay; Electric network topology; Linear matrix inequalities; Switching; Switching systems; Synchronization; Time varying contro Average dwell time; complex dynamical network; exponential synchronization; switched systems; switching topology; time-varying delays
dc.titleExponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume57
dc.date.issued2010
local.identifier.absfor090602 - Control Systems, Robotics and Automation
local.identifier.ariespublicationu4334215xPUB543
local.type.statusPublished Version
local.contributor.affiliationLiu, Tao, College of Engineering and Computer Science, ANU
local.contributor.affiliationZhao, Jun, College of Engineering and Computer Science, ANU
local.contributor.affiliationHill, David, College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue11
local.bibliographicCitation.startpage2967
local.bibliographicCitation.lastpage2980
local.identifier.doi10.1109/TCSI.2010.2052508
local.identifier.absseo970108 - Expanding Knowledge in the Information and Computing Sciences
dc.date.updated2016-02-24T11:01:46Z
local.identifier.scopusID2-s2.0-78149469553
CollectionsANU Research Publications

Download

File Description SizeFormat Image
01_Liu_Exponential_Synchronization_of_2010.pdf1.28 MBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator