Event-triggered control for continuous-time Markov jump systems subject to packet losses and deception attacks

This paper concerns the issue of event-triggered control (ETC) for a class of continuous-time Markov jump system subject to packet losses and deception attacks. In view of inevitable imperfections of communication, triggered data are able to be lost and suffer from deception attacks over networks, which might lead to Zeno phenomenon. To tackle this problem, a strict positive lower bound is embedded in event-triggered scheme (ETS) in advance and the triggering inequality under packet losses and deception attacks is re-estimated. Considering that the probability of deception attacks may depend on the mode information of subsystems, hidden Markov model (HMM) is employed. Then via Lyapunov function method, sufficient conditions involving the number of consecutive packet losses and conditional probability of HMM are provided to ensure the stochastic stability of Markov jump systems. Finally, the correctness and effectiveness of the developed control method is demonstrated by means of a numerical example.