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Synchronization in Dynamical Systems Coupled via Multiple Directed Networks.
Synchronization in Dynamical Systems Coupled via Multiple Directed Networks.
- 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