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Synchronization in Dynamical Systems Coupled via Multiple Directed Networks.

Synchronization in Dynamical Systems Coupled via Multiple Directed Networks.

Authors :
Wu, Chai Wah
Source :
IEEE Transactions on Circuits & Systems. Part II: Express Briefs; May2021, Vol. 68 Issue 5, p1660-1664, 5p
Publication Year :
2021

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15497747
Volume :
68
Issue :
5
Database :
Complementary Index
Journal :
IEEE Transactions on Circuits & Systems. Part II: Express Briefs
Publication Type :
Academic Journal
Accession number :
150086710
Full Text :
https://doi.org/10.1109/TCSII.2021.3068202