针对一类离散的Markov跳变奇异系统,研究了其稳定性与镇定控制问题.系统模式跳变的转移概率是部分未知的,包含转移概率完全已知和完全未知两种情形,具有更好的泛化性.以严格线性矩阵不等式的形式,给出了保证该类Markov跳变奇异系统正则、因果、随机稳定的充分性判据,并设计了相应的状态反馈与输出反馈控制器.最后,通过数值仿真表明了所提出方法的有效性. For a class of discrete Markov transition singular systems, the stability and stabilization control problems are studied. The transition probability of system mode transitions is partly unknown, including the cases that the transition probability is completely known and completely unknown, Generalization. In the form of strict linear matrix inequalities, the sufficient and sufficient conditions for guaranteeing the regular, causal and stochastic stability of the singular Markov jump systems are given and the corresponding state feedback and output feedback controllers are designed.Finally, The numerical simulation shows the effectiveness of the proposed method.