Adaptive Event-Triggered Control for Markovian Jump Multi-agent Systems under Hybrid Cyber Attacks

This article addresses leader-following consistency control problem of Markov jump multi-agent systems (MASs) under hybrid random cyber attacks, an adaptive event triggering schemes based on sampled data is introduced, which can adaptive adjust the trigger threshold according to the performance requirements of the MASs to reduce unnecessary communication frequency between agents, thereby saving communication resources. At the same time, considering the simultaneous existence of multiple attacks, the attack model of Bernoulli is established, and a consistency control protocol based on the event triggering schemes is designed. In the case of simultaneous communication delay and cyber attacks transmission delays, the MASs is transformed into a time-delay error system, and the L-K functional method is used to obtain sufficient conditions for the asymptotic stability of the time-delay error system. Finally, numerical simulation examples show the effectiveness of the method.