This paper is devoted to investigating the dynamic output feedback (DOF) control problem of Markovian jump neutral-type stochastic systems with a guaranteed cost function. Both of the state and measurement equations contain time delays. Mode-dependent DOF controllers are first designed such that the closed-loop system is asymptotically stable in mean-square and an adequate performance level of this system is guaranteed. Then, sufficient conditions for the solvability of this problem are derived in the form of linear matrix inequalities (LMIs). A numerical example is presented to reveal the effectiveness of our findings.

中文翻译：

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中立型马尔可夫跳跃随机系统动态输出反馈控制的保证成本方法

本文致力于研究具有保证成本函数的马尔可夫跳跃中立型随机系统的动态输出反馈（DOF）控制问题。状态方程和测量方程都包含时间延迟。首先设计依赖于模式的DOF控制器，以使闭环系统在均方值上渐近稳定，并确保该系统具有足够的性能水平。然后，以线性矩阵不等式（LMI）的形式得出解决该问题的充分条件。数值例子表明了我们的发现的有效性。