Network Synchronization with Convexity
dc.contributor.author | Shi, Guodong | |
dc.contributor.author | Proutiere, Alexandre | |
dc.contributor.author | Johansson, Karl Henrik | |
dc.date.accessioned | 2016-09-06T05:25:10Z | |
dc.date.available | 2016-09-06T05:25:10Z | |
dc.date.issued | 2015 | |
dc.description.abstract | In this paper, we establish a few new synchronization conditions for complex networks with nonlinear and nonidentical self-dynamics with switching directed communication graphs. In light of the recent works on distributed subgradient methods, we impose integral convexity for the nonlinear node self-dynamics in the sense that the self-dynamics of a given node is the gradient of some concave function corresponding to that node. The node couplings are assumed to be linear but with switching directed communication graphs. Several sufficient and/or necessary conditions are established for exact or approximate synchronization over the considered complex networks. These results show when and how nonlinear node self-dynamics may cooperate with the linear diffusive coupling, which eventually leads to network synchronization conditions under relaxed connectivity requirements. | en_AU |
dc.identifier.issn | 0363-0129 | en_AU |
dc.identifier.uri | http://hdl.handle.net/1885/108640 | |
dc.publisher | Society for Industrial and Applied Mathematics | en_AU |
dc.rights | © by SIAM. http://www.sherpa.ac.uk/romeo/issn/0363-0129/..."Publisher's version/PDF on authors personal website,institutional website or open access repository" from SHERPA/RoMEO site (as at 6/09/16). | en_AU |
dc.source | SIAM Journal on Control and Optimization | en_AU |
dc.subject | coupled oscillator | en_AU |
dc.subject | complex networks | en_AU |
dc.subject | synchronization | en_AU |
dc.subject | switching graphs | en_AU |
dc.title | Network Synchronization with Convexity | en_AU |
dc.type | Journal article | en_AU |
dcterms.accessRights | Open Access | en_AU |
local.bibliographicCitation.issue | 6 | en_AU |
local.bibliographicCitation.lastpage | 3583 | en_AU |
local.bibliographicCitation.startpage | 3562 | en_AU |
local.contributor.affiliation | Shi, G., College of Engineering and Computer Science, The Australian National University | en_AU |
local.contributor.affiliation | Johansson, K. H., College of Engineering and Computer Science, The Australian National University | en_AU |
local.contributor.authoremail | guodong.shi@anu.edu.au | en_AU |
local.contributor.authoruid | U5549252 | en_AU |
local.identifier.citationvolume | 53 | en_AU |
local.identifier.doi | 10.1137/130950811 | en_AU |
local.identifier.uidSubmittedBy | u1005913 | en_AU |
local.publisher.url | http://www.siam.org/ | en_AU |
local.type.status | Published Version | en_AU |
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