This paper investigates the problems of $ \mathcal{H}_{\infty} $ performance analysis and sampled-data control about fuzzy Markovian jump systems. Firstly, in order to make full use of the information of both intervals $ x(t_{k}) $ to $ x(t) $ and $ x(t) $ to $ x(t_{k+1}) $, we construct the mode-dependent Lyapunov function, which consists of a two-sided closed-loop function. Built on the above Lyapunov function, the stochastically stable conditions with less conservative are given by using linear matrices inequalities (LMIs). Then, a state feedback controller is presented for the studied systems. At last, an example is offered to illustrate the efficiency of our main results.

中文翻译：

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\ begin {document} $ \ mathcal {H} _ {\ infty} $ \ end {document} 采样数据控制方法的模糊马尔可夫跳跃系统控制

本文研究了模糊马尔可夫跳系统的\ mathcal {H} _ {\ infty} $性能分析和采样数据控制问题。首先，为了充分利用两个区间$ x（t_ {k}）$到$ x（t）$和$ x（t）$到$ x（t_ {k + 1}）$的信息，我们构造依赖于模式的Lyapunov函数，该函数由一个双面闭环函数组成。基于上述Lyapunov函数，通过使用线性矩阵不等式（LMI）给出了保守程度较低的随机稳定条件。然后，针对所研究的系统提出了状态反馈控制器。最后，提供一个例子来说明我们主要结果的效率。