Delayed impulsive control for synchronization of complex-valued stochastic complex network with unbounded delays under cyber attacks

In this paper, we study the synchronization of complex-valued stochastic complex networks (SCNs) with unbounded time delays via unbounded impulsive control under cyber attacks. This paper considers unbounded delays for the first time in complex networks. By the combination of Lyapunov–Razumikhin method and graph theory, several criteria for realizing pth moment exponential synchronization (PMES) can be obtained, which are associated with the intensity of impulsive control, unbounded time delays and cyber attacks. In the end, we search the PMES of a class of complex-valued stochastic coupled Chua's circuit systems under network attacks to validate the reliability and effectiveness of the results.