一类随机非线性系统的自适应有限时间镇定
Adaptive Finite-Time Stabilization for a Class of Stochastic Nonlinear Systems
摘要: 本文研究了一类随机非线性系统的自适应有限时间镇定问题。所考虑的随机非线性系统的漂移项和扩散项均含有不确定项。本文通过设计精巧的参数并构造新型李雅普诺夫函数来设计随机自适应有限时间控制器。进一步地，分析了闭环系统在概率意义下的有限时间稳定性。最后，通过仿真实例验证了所提出的控制设计理论。
Abstract: This paper investigates the adaptive finite-time stabilization for a class of stochastic nonlinear systems. The considered stochastic nonlinear system includes uncertainties in the drift and diffusion terms contain uncertain interactions. Some ingenious parameters are designed and a novel Lyapunov function is constructed to design the stochastic adaptive finite-time controller. Furthermore, we analyze the finite-time stability in probability of the closed-loop system. Finally, a simulation example is provided to validate the proposed control design theory.
文章引用：郭腾念. 一类随机非线性系统的自适应有限时间镇定[J]. 应用数学进展, 2025, 14(4): 427-436. https://doi.org/10.12677/aam.2025.144174

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