4.6 Article

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

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Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2008.2011611

Keywords

Complex networks; contraction theory; master stability function; synchronization

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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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