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NETWORK SYNCHRONIZATION WITH CONVEXITY
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. KTH, School of Electrical Engineering (EES), Automatic Control.
2015 (English)In: SIAM Journal of Control and Optimization, ISSN 0363-0129, E-ISSN 1095-7138, Vol. 53, no 6, 3562-3583 p.Article in journal (Refereed) PublishedText
Abstract [en]

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.

Place, publisher, year, edition, pages
Society for Industrial and Applied Mathematics, 2015. Vol. 53, no 6, 3562-3583 p.
Keyword [en]
coupled oscillator, complex networks, synchronization, switching graphs
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-180643DOI: 10.1137/130950811ISI: 000367020200011OAI: oai:DiVA.org:kth-180643DiVA: diva2:895477
Funder
Knut and Alice Wallenberg FoundationSwedish Research Council
Note

QC 20160119

Available from: 2016-01-19 Created: 2016-01-19 Last updated: 2016-01-19Bibliographically approved

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Proutiere, Alexandre
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ACCESS Linnaeus CentreAutomatic Control
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