In this paper contraction theory is applied to the problem of synchronization of a network. Particularly, the association between the contraction principle, the Lyapunov exponents of a system and the Master Stability Function of the network are pointed out. Novel, sufficient criteria warranting the fulfilment of a synchronous state are derived. Numerical simulations are used to validate the theoretical results.
Contraction theory and the Master Stability Function: linking two approaches to study synchronization / G., Russo; DI BERNARDO, Mario. - In: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS. II, EXPRESS BRIEFS. - ISSN 1549-7747. - STAMPA. - 56:2(2009), pp. 177-181. [10.1109/TCSII.2008.2011611]
Contraction theory and the Master Stability Function: linking two approaches to study synchronization
DI BERNARDO, MARIO
2009
Abstract
In this paper contraction theory is applied to the problem of synchronization of a network. Particularly, the association between the contraction principle, the Lyapunov exponents of a system and the Master Stability Function of the network are pointed out. Novel, sufficient criteria warranting the fulfilment of a synchronous state are derived. Numerical simulations are used to validate the theoretical results.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
