Stability for stochastic reaction–diffusion systems driven by G-Brownian motion

Abstract

In this paper, we deal with a class of stochastic reaction–diffusion systems driven by G-Brownian motion (G-SRDSs, in short). The criterions on quasi-surely exponential stability and finite-time stability for G-SRDSs are established based on G-Lyapunov functional method. Examples are given to verify the theoretical results.

Keywords:

• Stochastic reaction–diffusion system
• quasi surely exponential stability
• finite-time stability
• G-Brownian motion

Acknowledgments

The authors wish to thank the editor and anonymous referees for their valuable comments, correcting errors and improving written language.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the National Natural Science Foundation of China [11871076].