Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Abstract

In this paper, the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied. Firstly, the definition of combination projection synchronization of fractional-order complex dynamic networks is given, and the synchronization problem of the drive-response systems is transformed into the stability problem of the error system. In addition, time-varying delays and disturbances are taken into consideration to make the network synchronization more practical and universal. Then, based on Lyapunov stability theory and fractional inequality theory, the adaptive controller is formulated to make the drive and response systems synchronization by the scaling factors. The controller is easier to realize because there is no time-delay term in the controller. At last, the corresponding simulation examples demonstrate the effectiveness of the proposed scheme.

General Decay Projective Synchronization of Drive-response Reaction-diffusion Memristive Neural Networks

“…Due to the unpredictability of scaling constants, projection synchronization has outstanding advantages over other types of synchronization, which can extra promote communication security. The article [13] investigated the combinatorial projection synchronization issue of fractional order complex dynamic networks with external interference and time-varying delay coupling. By making use of a suitable controller, He et al [14] explored the projection scaling factor to a general constant matrix and researched the global matrix projection synchronization for the delayed fractional-order NNs.…”