Sampled-Data Resilient Control for Hybrid Nonlinear Stochastic Systems Under Periodic DoS Attacks

This paper concerns the sampled-data resilient control for hybrid nonlinear stochastic systems under periodic denial of service (P-DoS) attacks. First of all, considering that the system is attacked by P-DoS and using the zero-order holder (ZOH) technique to further analyze the impact of such attacks on the control input. Secondly, via using the time-delay transform method, the attacked sampled-data resilient control system is modeled as a switched stochastic nonlinear time-delay closed-loop system. Thirdly, by using the piecewise Lyapunov functional method, the sufficient conditions to guarantee the mean square exponential stability of the attacked system are given. Then, according to these sufficient conditions, the controller parameters are solved when specific Lyapunov functional and controller design are given. Finally, an example is given to illustrate the efficiency of our results.