NETWORK SYNCHRONIZATION WITH CONVEXITY
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
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.
coupled oscillator, complex networks, synchronization, switching graphs
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-180643DOI: 10.1137/130950811ISI: 000367020200011OAI: oai:DiVA.org:kth-180643DiVA: diva2:895477
FunderKnut and Alice Wallenberg FoundationSwedish Research Council
QC 201601192016-01-192016-01-192016-01-19Bibliographically approved