In this article, the problem of output-feedback stabilization for a class of stochastic high-order nonlinear systems with stochastic inverse dynamics and multidelay is studied. In the control scheme, an output-feedback controller with a reduced-order observer is designed to globally stabilize the whole system. Different from the classical literature on stochastic upper-triangular systems, a high-gain-based technique is utilized to eliminate the effect of uncertainties in z₀-subsystem. By skillfully choosing suitable forms of the control gains and the Lyapunov–Krasovskii functional, we analyze the global asymptotic stability in probability of the closed-loop system. Finally, two simulation examples are presented to show the effectiveness of our theoretical results.

中文翻译：

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一类具有随机逆动力学和多时滞的随机高阶非线性系统的输出反馈镇定

本文研究了一类具有随机逆动力学和多时滞的随机高阶非线性系统的输出反馈镇定问题。在控制方案中，设计了一个带有降阶观测器的输出反馈控制器来全局稳定整个系统。与关于随机上三角系统的经典文献不同，利用基于高增益的技术来消除z ₀子系统中不确定性的影响。通过巧妙地选择合适的控制增益形式和Lyapunov-Krasovskii泛函，我们分析了闭环系统概率的全局渐近稳定性。最后，给出了两个仿真例子来证明我们的理论结果的有效性。