研究了一类具有不确定性Markov跳变参数的线性分布型时滞系统.考虑了具不确定性、Markov跳变参数、及分布型时滞系统的鲁棒均方稳定性问题.设计了系统的鲁棒状态反馈镇定控制器.采用了Grownwall Bellman不等式,基于线性矩阵不等式(LMIs)方法,给出了鲁棒稳定性的LMI时滞依赖的代数判据,从而降低了判据的保守性.同时得到了相应的离散时滞情形下的结果. A class of linear distributed delay systems with uncertain Markov transition parameters is studied. The robust mean-square stability problems with uncertainties, Markov transition parameters and distributed delay systems are considered. The system , A robust stabilization controller based on Grownwall Bellman’s inequality is proposed. Based on the LMIs method, LMI-dependent algebraic criteria for robust stability are given, which reduces the conservativeness of the criterion. At the same time, the corresponding discrete delay case is obtained.