Event-triggered delayed impulsive control for synchronization of stochastic complex networks under deception attacks

This paper analyzes a class of stochastic complex networks (SCNs) subjected to deception attacks via the event- triggered delayed impulsive control (ETDIC) strategy. Noting the universality of delay, we consider the delay in impulsive control. The impulse is combined with the event-triggered mechanism (ETM), that is, the impulsive instant is determined by the ETM, which is defined by the network topology and the Lyapunov function. Based on this ETM, through a combination of the Lipschitz-Razumikhin method and graph theory, we obtain the conditions to avoid Zeno behavior and give some criteria of pth moment exponential synchronization (PMES) for SCNs under deception attacks. The criteria are related to the topology of the network, the event-triggered parameters, and the attack signals sent by the enemy. Finally, we analyze a class of coupling Chua's circuits subjected to deception attacks and present numerical examples to verify the validity and practicability of our theoretical results.