Practical stability in relation to a part of variables for stochastic reaction-diffusion systems driven by G-Brownian motion

The main purpose of this paper is to investigate the practical stability in relation to a part of the variables of stochastic reaction-diffusion systems driven by G-Brownian motion (G-SRDSs, in short). With the aid of G-Lyapunov techniques and G-Ito's formula, the criteria of the global practical uniform kth moment exponential stability and the global practical uniform quasi surely exponential stability in relation to a part of variables of G-SRDSs are established. An example is given to illustrate the usefulness and feasibility of the proposed results.

Automated summary

This paper investigates the stability issues of stochastic reaction-diffusion systems driven by G-Brownian motion (G-SRDSs) in relation to a part of the variables. Using G-Lyapunov techniques and G-Ito's formula, the criteria of global practical uniform kth moment exponential stability and global practical uniform quasi surely exponential stability are established. An example is provided to demonstrate the usefulness and feasibility of the proposed results.