Shi, GuodongProutiere, AlexandreJohansson, Karl Henrik2016-09-062016-09-060363-0129http://hdl.handle.net/1885/108640In 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.© 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).coupled oscillatorcomplex networkssynchronizationswitching graphs201510.1137/130950811