This article proposes a new strictly bounded real lemma (BRL) for continuous‐time singular Markovian jump systems (SMJSs) in terms of strict linear matrix inequalities (LMIs). While the previous studies have been done for SMJSs that do not have a path from disturbances to desired output, the proposed BRL covers SMJSs with disturbance‐contaminated output by introducing additional free matrix variables. Based on the proposed BRL, the sufficient condition for state‐feedback stabilization is successfully obtained in terms of strict LMIs. The result leads to find the minimal performance by solving the optimization problem subject to the suggested LMIs. Two examples show the less conservatism of proposed method compared with the previous work.

中文翻译：

---

奇异马尔可夫跳跃系统的新有界实引理：在H∞控制中的应用

本文针对严格线性矩阵不等式（LMI），提出了一种用于连续时间奇异马尔可夫跳跃系统（SMJS）的新的严格有界实引理（BRL）。尽管先前的研究已经针对没有从干扰到期望输出的路径的SMJS进行了研究，但拟议的BRL通过引入其他自由矩阵变量来涵盖具有干扰污染输出的SMJS。根据提出的BRL，通过严格的LMI成功地获得了状态反馈稳定的充分条件。通过解决建议的LMI的优化问题，结果导致找到最低性能。有两个例子表明，与以前的工作相比，该方法的保守性较差。