Practical stability analysis of stochastic functional differential systems with G-Brownian motion and impulsive effects

Abstract

This article is concerned with the practical stability performance of nonlinear impulsive stochastic functional differential systems driven by G-Brownian motion (G-ISFDSs). Comparing with traditional Lyapunov stability theory, practical stability can portray qualitative behaviour and quantitative properties of suggested systems. By employing G-Itô formula, Lyapunov–Razumikhin approach and stochastic analysis theory, some novel conditions for pth moment practical exponential stability and quasi-sure global practical uniform exponential stability of G-ISFDSs are established. The obtained results show that impulses may influence dynamic behaviour of the addressed system. Two numerical examples are given to verify the validity of our developed results.

Keywords:

• Practical stability
• impulsive system
• stochastic functional differential equation
• G-Brownian motion

Disclosure statement

No potential conflict of interest was reported by the authors.