中文摘要：

利用随机系统的反推设计方法，研究了一类高阶随机时变时滞非线性系统的状态反馈镇定问题．根据随机系统的稳定性定理，采用Lyapunov泛函设计了一个状态反馈控制器，该状态反馈控制器使得整个闭环系统的平衡点是依概率全局渐近稳定的．本文研究的具有不同阶数的随机高阶非线性系统是以往结果的一个推广，仿真示例验证了所设计状态反馈控制器的可行性和有效性．

英文摘要：

By using backstepping technique of stochastic system, the state feedback stabilization for a class of high order stochastic time-varying nonlinear systems with time varying delay was studied. According to the probability stability theorem of stochastic systems, a state feedback controller was designed by using the Lyapunov functional, which makes the equilibrium point of the whole closed-loop system satisfy globally asymptotically stable in probability. This assessment focuses on the more general stochastic high-order nonlinear systems with different orders. The simulation result verifies the feasibility and effectiveness of the designed state feedback controller.