This paper studies the problem of the stochastic admissibility for singular Markovian jump systems with time-varying delay. By introducing two exponential parameters, a new version of reciprocally convex inequality named exponential type reciprocally convex inequality is proposed, which covers some existing results as its special cases. Based on the second-order B-L inequality, a novel delay-product-type functional is proposed to fully capture the information among system states and time-varying delay. Based on the two improved techniques, a less conservative admissibility condition is obtained in terms of linear matrix inequalities. Two examples are introduced to illustrate the effectiveness of the proposed result.

本文研究了具有时变延迟的奇异马尔可夫跳跃系统的随机可容许性问题。通过引入两个指数参数，提出了一种称为指数型互凸不等式的新版本互凸不等式，它涵盖了一些现有结果作为其特例。基于二阶BL不等式，提出了一种新的延迟积型泛函，以充分捕捉系统状态和时变延迟之间的信息。基于这两种改进的技术，就线性矩阵不等式而言，获得了不太保守的可接受条件。引入了两个例子来说明所提出结果的有效性。