NDLI: Globally Exponential Synchronization and Synchronizability for General Dynamical Networks

Content Provider	IEEE Xplore Digital Library
Author	Jianquan Lu Ho, D.W.C.
Copyright Year	1996
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.
Page Count	12
File Size	1124146
Starting Page	350
Ending Page	361
File Format	PDF
ISSN	10834419
Volume Number	40
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-04-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Complex networks Network topology Large-scale systems Mathematics Chaotic communication Image storage Biology Sociology Differential equations Spatiotemporal phenomena synchronization Asymmetric large-scale dynamical networks reducible synchronizability
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Information Systems Electrical and Electronic Engineering Human-Computer Interaction Computer Science Applications Software

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