This paper focuses on the problem of asynchronous dissipative control for time-delay singular Markovian jump systems (SMJSs) with actuator saturation. In order to describe the asynchronous phenomenon between the system and the controller, a hidden Markov model (HMM) is adopted. In addition, the problem of actuator saturation is considered. Firstly, by the mode-dependent Lyapunov function, some novel sufficient criteria for guaranteeing the stochastic admissibility with dissipative performance of the system are proposed. Secondly, according to the derived criteria, a novel approach is established to design the controller gains. Thirdly, the domain of attraction of the system is given by the optimal method. Finally, two examples are given to verify the correctness of the proposed approach.

中文翻译：

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执行器饱和时滞奇异马尔可夫跳跃系统的异步耗散控制

本文重点研究执行器饱和时滞奇异马尔可夫跳跃系统（SMJS）的异步耗散控制问题。为了描述系统和控制器之间的异步现象，采用隐马尔可夫模型（HMM）。此外，还考虑了执行器饱和问题。首先，通过模态相关的李亚普诺夫函数，提出了一些新的充分准则来保证系统耗散性能的随机允许性。其次，根据推导的标准，建立了一种新的方法来设计控制器增益。再次，用最优方法给出了系统的吸引域。最后给出两个算例来验证所提方法的正确性。