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

作者：Ren, Yong^*; Yin, Wensheng

来源：International Journal of Control, 2019, 92(10): 2235-2242.

DOI：10.1080/00207179.2018.1435907

• Asymptotical boundedness
• stochastic coupled system
• G-Brownian motion
• graph-theory

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.

• 出版日期2019-10-3
• 单位安徽师范大学