The pth moment asymptotical stability for stochastic impulsive delayed system with G-brownian motion based on event-trigger

Zhu De-jun, Jun Tao Yang · 2021

This paper explores the stability problem of nonlinear stochastic impulsive delayed system driven by G- brownian motion with regard to event-triggered mechanism in theory. Event-triggered method is designed to guarantee that the system more easily enjoys stable properties. In this method, the impulsive of system is produced by some conditions which combine expectation with impulsive instants. Based on employing £-operator and G- Ito formula, this paper proposed consequences supply sufficient conditions for the pth moment asymptotical stability in theory and exhibits the benefits and validity of theoretical analysis. Besides, the non-Zeno behaviour problem is shown in this paper.

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