Title :
Contraction Theory and Master Stability Function: Linking Two Approaches to Study Synchronization of Complex Networks
Author :
Russo, Giovanni ; Di Bernardo, Mario
Author_Institution :
Dept. of Syst. & Comput. Sci., Univ. of Naples Federico II, Naples
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.
Keywords :
Lyapunov methods; oscillators; Lyapunov exponents; complex network synchronization; contraction theory; master stability function; oscillators; synchronous state; Complex networks; Couplings; Evolution (biology); Helium; Joining processes; Mathematics; Nonlinear dynamical systems; Oscillators; Robots; Stability; Complex networks; contraction theory; master stability function; synchronization;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2008.2011611
