Asymptotical boundedness for stochastic coupled systems on networks driven by G-Brownian motion

Abstract

This paper investigates a class of stochastic coupled systems on networks driven by G-Brownian motion (G-SCSN, in short). By means of inequality techniques, kth vertex G-Lyapunov functions and graph-theory, we obtain the asymptotical boundedness for G-SCSN. Moreover, pth exponential stability is derived. As an application, a class of stochastic coupled Cohen–Grossberg neural networks driven by G-Brownian motion are discussed. Moreover, an example is given to illustrate the theory obtained.