Sampled-data resilient H∞ control for networked stochastic systems subject to multiple attacks

Abstract In this paper, the sampled-data resilient H ∞ control problem is concerned for networked stochastic systems with multiple attacks. Multiple attacks consisting of denial-of-service (DoS) attacks and random deception attacks are first described. Then on the basis of these attacks, a new switched stochastic time-delay closed-loop system is proposed under sampled-data and full state feedback controller. By utilizing piecewise Lyapunov-Krasovskii functional analysis theory, some new criterions are derived to guarantee the mean-square asymptotical stability with an H ∞ performance of the resulting closed-loop system. The explicit expression of controller gain is subsequently presented. Finally, two examples are given to show the feasibility of the developed control approach.