Asymptotical boundedness for stochastic coupled systems on networks with time-varying delay driven by G-Brownian motion.

This paper investigates a class of stochastic coupled systems on networks with time-varying delay driven by G-Brownian motion (G-SCSNTVD, in short). By means of inequality technique, kth vertex-Lyapunov functions and graph-theory, we obtain asymptotical boundedness for G-SCSNTVD. As an application, stochastic coupled oscillator networks with time-varying delay driven by G-Brownian motion are discussed. Moreover, an example is given to illustrate the theory obtained. [ABSTRACT FROM AUTHOR]