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Contraction Theory and Master Stability Function: Linking Two Approaches to Study Synchronization of Complex Networks

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2 Author(s)
Russo, G. ; Dept. of Syst. & Comput. Sci., Univ. of Naples Federico II, Naples ; di Bernardo, M.

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.

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Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:56 ,  Issue: 2 )