Contraction theory and master stability function: linking two approaches to study synchronization of complex networks

Authors:
Giovanni Russo;Mario Di Bernardo
Affiliations:
Department of Systems and Computer Science University of Naples Federico II, Naples, Italy;Department of Systems and Computer Science University of Naples Federico II, Naples, Italy
Venue:
IEEE Transactions on Circuits and Systems II: Express Briefs
Year:
2009

Citing 3
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Abstract

In this brief, the contraction theory is applied to the synchronization of a network. The association between the contraction principle, the Lyapunov exponents of a system, and the master stability function of the network is pointed out. Novel sufficient criteria for the fulfillment of a synchronous state are derived.