Event-triggered impulsive control for nonlinear stochastic delayed systems and complex networks

In this paper, we probe the pth moment exponential stability (p-ES) - ES) of stochastic delayed systems subject to event-triggered delayed impulsive control (ETDIC), where the impulsive intensities are assumed to be positive random variables. Based on event-triggered mechanism (ETM) in the sense of expectation, some new sufficient conditions are developed to ensure stability of the addressed system with Zeno-free behavior. The Lyapunov-Razumikhin method is adopted to handle the time-varying delay in continuous dynamics, and the concept average random impulsive estimation (ARIE) is introduced to reduce the design requirements of the controller. Especially, the proposed ETDIC strategy not only generates the impulse sequence according to the predesigned ETM, but also removes the limitations on the of time delays. Furthermore, the ETM serves as a solution for synchronization problems complex neural networks. Finally, two examples are given to illustrate the effectiveness of conclusions.