NDLI: Synchronization and convergence of linear dynamics in random directed networks

Content Provider	IEEE Xplore Digital Library
Author	Chai Wah Wu
Copyright Year	1963
Abstract	Recently, methods in stochastic control are used to study the synchronization properties of a nonautonomous discrete-time linear system x(k+1)=G(k)x(k) where the matrices G(k) are derived from a random graph process. The purpose of this note is to extend this analysis to directed graphs and more general random graph processes. Rather than using Lyapunov type methods, we use results from the theory of inhomogeneous Markov chains in our analysis. These results have been used successfully in deterministic consensus problems and we show that they are useful for these problems as well. Sufficient conditions are derived that depend on the types of graphs that have nonvanishing probabilities. For instance, if a scrambling graph occurs with nonzero probability, then the system synchronizes.
Sponsorship	IEEE Control Systems Society
Starting Page	1207
Ending Page	1210
Page Count	4
File Size	209592
File Format	PDF
ISSN	00189286
Volume Number	51
Issue Number	7
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-07-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Convergence Intelligent networks Stochastic processes Nonlinear dynamical systems Linear systems Couplings Symmetric matrices Stochastic systems Control systems Sufficient conditions synchronization Directed graphs dynamics graph theory Markov processes
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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