Yingdong Lu, Mark S. Squillante, et al.
IFIP WG 7.3 Performance 2015
We study synchronization and consensus in a group of dynamical systems coupled via multiple directed networks. We show that even though the coupling in a single network may not be sufficient to synchronize the systems, combination of multiple networks can contribute to synchronization. We illustrate how the effectiveness of a collection of networks to synchronize the coupled systems depends on the graph topology. In particular, we show that if the graph sum is a directed graph whose reversal contains a spanning directed tree, then the network synchronizes if the coupling is strong enough. This is intuitive as there is a root node that influence every other node via a set of edges where each edge in the set is in one of the networks.
Yingdong Lu, Mark S. Squillante, et al.
IFIP WG 7.3 Performance 2015
Chai Wah Wu
IEEE TACON
Chai Wah Wu, Charles P. Tresser, et al.
NIP 2001
Hui Liu, Ming Cao, et al.
ECC 2013