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中文摘要：
针对一类具有随机时延的网络控制系统（NCSs）周期反馈控制问题，提出一个新颖的马尔可夫随机时滞系统模型．该模型包括一个分段常数广义采样保持函数（PCGSHF）以及一个用于描述网络诱导时延和数据包丢失的马尔可夫链．应用李亚普诺夫方法以及线性矩阵不等式技术得到了闭环NCSs随机稳定的充分条件，并给出了状态反馈控制器和PCGSHF的设计方法．最后，通过仿真算例验证了设计方法的有效性．
英文摘要：
For periodic feedback control problems of （NCSs） with stochastic time-delay, a novel Markovian stochastic time- delay system model is proposed. This model contains a piecewise constant generalized sampled-data hold function（PCGSHF） and a Markov chain, which is used to describe both the network-induced delay and packet dropouts. By using Lyapunov method and the linear matrix inequality（LMI） technique, the sufficient condition for ensuring the closed-loop NCSs stochastically stable is obtained. The design procedures of both the PCGSHF and the state feedback controller are also proposed. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.
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