This article focus on the finite-time control for a class of stochastic continuous nonlinear systems suffered from unknown control coefficients and unmeasured stochastic inverse dynamics. Based on the modified homogeneous domination and adding a power integrator approach, the finite-time controller is constructed to assure the global finite-time stability in probability of stochastic continuous nonlinear systems, in which the negative effects generated by unknown control coefficients are dominated by a control gain. In addition, the use of finite-time stochastic input-to-state stability enables us to produce the theoretical analysis of the finite-time stability of the closed-loop system. Finally, a simulation example is supplied to show the effectiveness of the proposed scheme.

中文翻译：

---

具有 FT-SISS 逆动力学和未知控制系数的随机连续非线性系统的全局有限时间控制

本文重点研究一类受未知控制系数和不可测随机逆动力学影响的随机连续非线性系统的有限时间控制。基于改进的齐次支配并加入幂积分器方法，构造有限时间控制器以保证随机连续非线性系统概率的全局有限时间稳定性，其中未知控制系数产生的负面影响由控制增益。此外，有限时间随机输入到状态稳定性的使用使我们能够对闭环系统的有限时间稳定性进行理论分析。最后，提供了一个仿真例子来证明所提出方案的有效性。