Adaptive generalized synchronization between two different complex networks with time-varying delay coupling

Abstract

This paper deals deals with the problem of generalized synchronization (GS) between two different complex networks with time-varying delay coupling. By designing a nonlinear adaptive controller, the GS between these two networks is achieved based on Barbalat's lemma. Furthermore, when the topological structures of two networks are fully unknown, the GS problem is also discussed. Numerical simulations are provided to demonstrate the effectiveness of the proposed methods.