A Stability Condition for Asynchronous and Aperiodic Sampled-Data Cyber-Physical Systems Under DoS Attacks

This paper is concerned with the stability problem of cyber-physical systems (CPSs) exposed to denial-of-service (DoS) attacks. In-depth analysis and discussion are made under practical constraints of asynchronous and aperiodic sampling with measurement errors. DoS attacks, which are supposed to be aperiodic, interrupt communication on control channels. A sufficient condition in terms of DoS attack duration and frequency is derived to guarantee the asymptotic stability of the system by combining the Lyapunov's method, inequality techniques and an iterative method. The stability result is applicable to the estimation of the maximum allowable sampling intervals which are closely related to the convergence speed, and characterizes the trade-off between communication resources and stability performance. Finally, the effectiveness of the theoretical analysis is verified by two simulation examples.