In this paper, the finite-time stabilization of stochastic coupled systems on networks (SCSNs) is studied. Different from previous research methods, the method used in this paper combines Lyapunov method with graph theory, and some novel sufficient conditions are obtained to ensure finite-time stability for SCSNs. Meanwhile, the convergence time is closely related to topological structure in networks. As a practical application in physics, we address a concrete finite-time stabilization problem of stochastic coupled oscillators through our main results. In addition, a numerical example is presented to illustrate the effectiveness and feasibility of the theoretical results.

中文翻译：

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网络上随机耦合系统的反馈控制有限时稳定及其应用

本文研究了网络上随机耦合系统（SCSN）的时限稳定。与以前的研究方法不同，本文所使用的方法将Lyapunov方法与图论相结合，并获得了一些新颖的充分条件来确保SCSN的有限时间稳定性。同时，收敛时间与网络拓扑结构密切相关。作为物理学中的实际应用，我们通过我们的主要结果解决了随机耦合振荡器的一个具体的有限时间稳定问题。另外，通过数值例子说明了理论结果的有效性和可行性。