Paper Info
Title
Network Synchronization with Convexity.
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.
Year
DOI
Venue
2015
10.1137/130950811
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Keywords
DocType
Volume
coupled oscillator,complex networks,synchronization,switching graphs
Journal
53
Issue
ISSN
Citations 
6
0363-0129
0
PageRank 
References 
Authors
0.34
20
3
Name
Order
Citations
PageRank
guodong shi171154.50
A. Proutiére267351.18
Karl Henrik Johansson33996322.75