Local synchronization of multiplex networks with delayed couplings

This paper is concerned with local synchronization of multiplex networks which correspond to networked systems coupled by two different relationships. Two network topologies associated with different coupling delays are considered. First, a sufficient delay-dependent condition for local synchronization is derived based on Lyapunov functional theory. Then a decoupled method is applied in the case that two network topology matrices are diagonalizable and commuting. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.This paper is concerned with local synchronization of multiplex networks which correspond to networked systems coupled by two different relationships. Two network topologies associated with different coupling delays are considered. First, a sufficient delay-dependent condition for local synchronization is derived based on Lyapunov functional theory. Then a decoupled method is applied in the case that two network topology matrices are diagonalizable and commuting. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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