Event‐triggered impulsive control for stabilization of stochastic delayed systems under hybrid cyber‐attacks

Abstract In this paper, an event‐triggered impulsive control (ETIC) scheme is designed to achieve the mean‐square exponential stability (MSES) for stochastic delayed systems under hybrid cyber‐attacks, where the impulsive instants are generated by a predefined event‐triggered mechanism (ETM), and denial‐of‐service (DoS) attacks and deception attacks are coexistent. By utilizing a Lyapunov‐Krasovskii functional candidate, the MSES condition is derived in the form of linear matrix inequalities (LMIs). In addition, Zeno behavior can be eliminated for the designed ETIC mechanism. Moreover, an application is performed to realize the mean‐square exponential synchronization in multi‐agent systems (MASs). Finally, an example of Chua's circuit and a numerical simulation of MASs are presented to demonstrate the efficacy of the proposed control approach.