Applied Mathematics and Computation ( IF 3.5 ) Pub Date : 2021-10-10 , DOI: 10.1016/j.amc.2021.126694 Lifei Xie 1 , Jun Cheng 1, 2 , Hailing Wang 1, 2 , Jiange Wang 3 , Mengjie Hu 3 , Zhidong Zhou 1
In this paper, the asynchronous control problem is addressed for semi-Markov switching systems with a memory-based event-triggered mechanism. In light of the asynchronous phenomenon between the resulting dynamic modes and the memory controller modes, a more general hidden semi-Markov model is expected. Notably, aiming at decrease the triggering intervals while improving the dynamic performance, a novel mode-dependent memory-based event-triggered mechanism is proposed, whose triggering condition varies with some historic released data. By virtue of the hidden semi-Markov model and historic released data, a memory asynchronous control strategy is skillfully synthesized. By resorting to Lyapunov theory, some criteria are formulated to guarantee the stochastically stable of the resulting dynamic. Eventually, the feasibility of the presented approach is verified by a practical example.
中文翻译:
半马尔可夫切换系统的基于内存的事件触发异步控制
在本文中,针对具有基于内存的事件触发机制的半马尔可夫切换系统解决了异步控制问题。鉴于所产生的动态模式和内存控制器模式之间的异步现象,预计会出现更通用的隐式半马尔可夫模型。值得注意的是,为了在提高动态性能的同时减少触发间隔,提出了一种新的基于模式依赖内存的事件触发机制,其触发条件随一些历史发布的数据而变化。凭借隐藏的半马尔可夫模型和历史发布的数据,巧妙地合成了一种内存异步控制策略。通过诉诸李雅普诺夫理论,制定了一些标准来保证所得动力学的随机稳定。最终,