This paper focuses on the stochastic jumping systems with singular perturbation subject to a random access protocol. The key challenge with controller design issue of stochastic jumping systems is how to assess the coordination of communication orders. In this study, a joint Markov process is established, and a novel control law is proposed. In contrast with the existing methods, the developed controller is more general. Finally, a practical example is exhibited to show the effectiveness of the achieved theories.

中文翻译：

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具有奇摄动的随机跳系统的随机访问协议方法

本文研究具有随机扰动的随机跳变系统，该随机跳变服从随机访问协议。随机跳跃系统的控制器设计问题的关键挑战是如何评估通信指令的协调性。在这项研究中，建立了一个联合马尔可夫过程，并提出了一种新颖的控制律。与现有方法相比，开发的控制器更为通用。最后，通过一个实际的例子展示了所取得的理论的有效性。