基于网络的一类时滞分数阶耦合系统Razumikhin型稳定定理

Razumikhin-type Stability Theorems for One Class of Fractional Order Coupled Systems with Time-delay on Network

研究了由时滞分数阶微分方程构建的新耦合系统稳定问题。通过使用适合耦合系统的基于图论方法的Lyapunov函数构建思想,得到了带有时滞的耦合系统的Razumikhin型全局一致稳定和一致渐近稳定定理。

In this paper, the stability problem of the new coupled model constructed by time-delayfractional - order differential equations is studied. By using the method of constructing Lyapunovfunctions based on graph-theoretical approach for coupled systems, Razumikhin-type global uniformstability and global uniform asymptotical stability theorems are obtained for the coupling model with timedelays.