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Network Synchronization with Convexity

Shi, Guodong; Proutiere, Alexandre; Johansson, Karl Henrik


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...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: SIAM Journal on Control and Optimization
DOI: 10.1137/130950811
Access Rights: Open Access


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