马尔可夫网络化系统的事件触发镇定研究
Study on Event-Triggered Stabilization of Markov Networked Systems
DOI: 10.12677/aam.2025.144182, PDF,    国家自然科学基金支持
作者: 张冬苹：云南民族大学数学与计算机科学学院，云南 昆明；张海洋：云南民族大学数学与计算机科学学院，云南 昆明；云南省智能控制与应用重点实验室，云南 昆明；熊良林*：云南开放大学传媒与信息工程学院，云南 昆明
关键词: 网络化系统；马尔可夫过程；事件触发机制；李雅普诺夫环泛函；Networked System； Markov Process； Event Triggering Mechanism； Liapunov Ring Functional
摘要: 本文研究一类马尔可夫网络化系统的镇定性问题。基于马尔可夫网络化系统的演化规律，构造一类蕴含采样时刻的随机李雅普诺夫环泛函。考虑网络信号传输具有时滞效应，基于采样监测和检验的事件触发机制，设计一类离散事件触发控制器。结合积分不等式方法和凸优化技术，建立一类使得系统均方稳定的准则。最后，通过两个数值例子来验证所得理论结果的有效性。
Abstract: The stability of a class of Markov networked systems is studied. Based on the evolution law of Markov networked systems, constructing a class of random Lyapunov ring functionals with sampling time. Considering the time delay effect of network signal transmission, a kind of discrete event trigger controller is designed based on the event trigger mechanism of sampling monitoring and testing. Combining the integral inequality method and convex optimization technique, a kind of mean square stability criterion of systems is established. Finally, two numerical examples are given to verify the effectiveness of the theoretical results.
文章引用：张冬苹, 张海洋, 熊良林. 马尔可夫网络化系统的事件触发镇定研究[J]. 应用数学进展, 2025, 14(4): 515-524. https://doi.org/10.12677/aam.2025.144182

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