Event-Triggered Nonlinear Systems With Stochastic Dynamics, Transmission Times, and Protocols

The event-triggered control problem for stochastic nonlinear systems is addressed in the presence of stochastic transmission protocols. A stochastic event-triggered transmission strategy is first proposed, which implies that the triggering condition is detected at stochastically distributed detecting instants. The entire system is modeled as a stochastic hybrid system and a new Lyapunov function is constructed to analyze stability of the resulting system. Stability conditions are derived and explicit design of the parameters is also presented. Examples of linear systems and a nonlinear system are provided to illustrate the effectiveness.