中文摘要：

针对一类带有饱和执行器的随机双线性系统，提出了设计无记忆反馈控制器的控制方法，该方法充分考虑到对控制输入的约束及控制输入的时间延迟效应．基于Lyapunov-Krasovskii理论，利用矩阵小等式放缩得到带有饱和执行器及时变时滞的马尔可夫跳变随机双线性系统均方指数稳定的充分条件．数值例子表明此方法的可行性与有效性．

英文摘要：

A memoryless feedback controller is proposed for stochastic bilinear systems with saturating actuators, in whichthe constraint and the time delay in the input control are taken into account. Based on Lyapunov-Krasovskii theory, a sufficient condition is derived for exponential stability in mean-square of Markovian jump stochastic bilinear systems with saturating actuators and time-varying delay using enlargement of matrix inequality. A numerical example shows that the approach is effective and feasible.