DocumentCode :
1506049
Title :
Globally Exponential Synchronization and Synchronizability for General Dynamical Networks
Author :
Lu, Jianquan ; Ho, Daniel W C
Author_Institution :
Dept. of Math., Southeast Univ., Nanjing, China
Volume :
40
Issue :
2
fYear :
2010
fDate :
4/1/2010 12:00:00 AM
Firstpage :
350
Lastpage :
361
Abstract :
The globally exponential synchronization problem for general dynamical networks is considered in this paper. One quantity will be distilled from the coupling matrix to characterize the synchronizability of the corresponding dynamical networks. The calculation of such a quantity is very convenient even for large-scale networks. The network topology is assumed to be directed and weakly connected, which implies that the coupling configuration matrix can be asymmetric, weighted, or reducible. This assumption is more consistent with the realistic network in practice than the constraint of symmetry and irreducibility. By using the Lyapunov functional method and the Kronecker product techniques, some criteria are obtained to guarantee the globally exponential synchronization of general dynamical networks. In addition, numerical examples, including small-world and scale-free networks, are given to demonstrate the theoretical results. It will be shown that our criteria are available for large-scale dynamical networks.
Keywords :
Lyapunov methods; complex networks; large-scale systems; matrix algebra; network theory (graphs); network topology; synchronisation; Kronecker product techniques; Lyapunov functional method; coupling configuration matrix; general dynamical networks; globally exponential synchronization; irreducibility constraint; large-scale networks; network topology; scale-free networks; small-world networks; symmetry constraint; synchronizability; Asymmetric; large-scale dynamical networks; reducible; synchronizability; synchronization;
fLanguage :
English
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
Publisher :
ieee
ISSN :
1083-4419
Type :
jour
DOI :
10.1109/TSMCB.2009.2023509
Filename :
5291781
Link To Document :
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