Event-Triggered Impulsive Control for Nonlinear Stochastic Systems

We study the stabilization problem for nonlinear stochastic systems via an event-triggered impulsive control (ETIC) scheme, where the impulsive control time sequence is generated by the event-triggered mechanism (ETM). Both continuous ETM and periodic ETM are developed by continuous measuring and periodic sampling, respectively. The continuous ETM with time regularization is proposed to exclude the Zeno behavior. The upper bound of the sampling period is given for the periodic ETM. By means of the continuous ETM and periodic ETM, sufficient conditions are given to guarantee the pth moment uniform stability and the pth moment exponential stability of related systems. Moreover, LMI-based conditions of exponential stability in the mean square are established for linear stochastic systems under ETIC. Finally, two examples are presented to illustrate the proposed ETIC schemes, in which an example of the consensus of linear stochastic multiagent systems is considered.

Automated summary

This study focuses on the stabilization problem of nonlinear stochastic systems using an event-triggered impulsive control scheme. Continuous and periodic event-triggered mechanisms are developed, with sufficient conditions given for system stability. Additionally, LMI-based conditions for exponential stability in the mean square are established for linear stochastic systems.