中文摘要：

研究了一类转移概率部分未知的随机时滞Markov跳变系统的镇定问题.首先,构建Lyapunov-Krasovkii函数的方法,设计模态依赖的状态反馈控制器,保证了闭环系统的随机稳定性.其次,将其归结为求解一组线性矩阵不等式（LMIs）的可行性问题,通过求解线性矩阵不等式的方式,获得了充分性条件.最后,数值仿真验证结论的有效性.

英文摘要：

The paper was concerned with stabilization for stochastic time-delayed Markov switching systems with partly unknown transition rates. Firstly,a mode-dependent state feedback controller was designed to guarantee stochastic stability of the corresponding closed-loop system by constructing Lyapunov-Krasovskii methodology.Then,sufficient conditions were built in the form of linear matrix inequalities（ LMIs）. Finally,a numerical example was given to demonstrate the validity of the main results.