Stochastic finite-time stabilization for stochastic multi-links coupled systems with time delays

In this paper, the issues pertaining with the stochastic finite-time stability of stochastic multi-links coupled systems with time delays (SMCSTD) via delayed feedback control are considered. And the model investigated in this paper is constructed on strongly connected digraphs (SCD) and digraphs without strong connectedness, respectively. Besides, stabilization criteria for SMCSTD based on SCD are obtained by the graph theory and the Lyapunov method. In addition, for SMCSTD based on digraphs without strong connectedness, stabilization criteria are proposed by means of the Lyapunov method, the graph theory and the theory of asymptotically autonomous systems. It is worth noting that the theoretical results in this paper relax the constraint of the differential operator ℒU , which is meaningful. Finally, two numerical examples are provided to demonstrate the validity of the theoretical theorems proposed in this paper.