A Stochastic Hybrid Approach to Decentralized Networked Control: Stochastic Network Delays and Poisson Pulsing...

This article designs a decentralized time-regularized event-triggered strategy to stabilize networked control systems (NCSs) under two independent sources of randomness: stochastic network delays and Poisson-pulsing denial-of-service (Pp-DoS) attacks. Explicit stability guarantees are derived under specified conditions on stochastic network delays and attack frequencies. Network delays are modeled as continuous random variables, while attack counts follow a Poisson distribution with exponentially distributed interattack times. The proposed strategies combine attack-active and attack-free components via stochastic hybrid systems theory. This approach maintains stability and ensures Zeno-freeness, while tolerating both Pp-DoS attacks and stochastic network delays.