Hybrid-triggered mechanism ℋ∞ performance analysis for Markovian jump cyber-physical systems under deception attacks

This paper investigates the ℋ∞ performance problem of discrete-time Markovian jump cyber-physical systems under deception attacks, utilizing a hybrid-triggered mechanism. First, a hybrid-triggered mechanism is used to reduce the controller update frequency to conserve the limited network bandwidth. Second, a random variable is introduced to describe the deception attack and a new controller model is designed. Third, the stochastic stability of the system is proved through the selection of appropriate segmented Lyapunov functions, which give sufficient conditions for the system to satisfy the ℋ∞ performance index. Finally, we simulate an example to illustrate the efficacy of the approach presented in this paper.