Event-Triggered Control Systems Under Stochastic Pulsing Denial-of-Service Attacks

By designing a time-regularized (Zeno-free) event-triggered strategy for the state-feedback control law, this article considers the stochastic stabilization of networked control systems, where the networked communication is constrained by stochastic pulsing denial-of-service (DoS) attacks. The attacks' cardinal number is supposed to be subject to Poisson distribution, so the interattack time, i.e., the time between two consecutive attack instants, is subject to exponential distribution. The considered system is modeled as the stochastic hybrid formalism, where the randomness enters through the jump map into the reset value (interattack time directly related) of the designed triggered strategy. Using stochastic hybrid tools to combine attack-active parts with attack-over parts, we show that the designed triggered strategy, if designed well according to the actual system needs, can tolerate (be resilient to) the pulsing DoS attacks without jeopardizing the stability and Zeno-freeness.