研究了一类输入带有时滞的随机前馈非线性系统的全局状态反馈控制问题. 通过使用齐次占优思想和选取合适的Lyapunov-Krasovskii泛函, 独立于时滞的状态反馈控制器被显式的构造出来使得闭环系统是依概率全局渐近稳定的. 仿真例子验证了所提设计方法的有效性.

This paper investigates the global state-feedback control problem for a class of stochastic feedforward nonlinear systems with input time-delay. By using the homogeneous domination idea and choosing an appropriate Lyapunov-Krasovskii functional, the delay-independent state-feedback controller is explicitly constructed such that the closed-loop system is globally asymptotically stable in probability. A simulation example is provided to demonstrate the effectiveness of the proposed design method.