DoS攻击下Markov跳变系统的镇定性研究：DETM
A Study on Stabilization of Markov Jump Systems under DoS Attacks: DETM
DOI: 10.12677/AAM.2023.1210425, PDF,    科研立项经费支持
作者: 陈慧珍, 赵姗姗：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；昆明理工大学，机电工程学院，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: Markov跳变系统；DoS攻击；动态事件触发机制；均方指数稳定性；Lyapunov泛函；Markov Jump Systems； DoS attacks； Dynamic Event-Triggered Mechanism； Exponential Mean Square Stability； Lyapunov Functional
摘要: 本文主要研究一类Markov跳变系统在拒绝服务(Denial of Service, DoS)攻击下的镇定性问题。首先，基于DoS攻击活动期和休眠期的结构特性，将DoS攻击下的Markov跳变系统建模成一类切换系统；其次，通过引入一类动态事件触发机制(Dynamic Event-triggered Mechanism, DETM)，降低系统在DoS攻击休眠期内的控制成本；然后，通过充分考虑Markov跳变规律以及时滞参数信息，构造一类公共Lyapunov泛函，并借助输入时滞方法、积分不等式方法和其他分析技巧，建立一类新的安全控制方案；最后，通过一个实际工程例子来说明本文所得结果的有效性。
Abstract: This paper mainly studies the stabilization problem of a class of Markov jump systems under Denial of Service (DoS) attacks. Firstly, based on the structural characteristics of action-period and sleep-ing-period of DoS attacks, the Markov jump systems under DoS attacks are modeled as a class of switched systems. Secondly, the Dynamic Event-triggered Mechanism (DETM) is introduced to re-duce the control cost during the sleeping-period of DoS attacks. Then, a class of common Lyapunov functional is constructed by fully considering the Markov jump law and delay parameter infor-mation, and a new class of security control scheme is established by means of the input delay method, integral inequality method and other analysis techniques. Finally, a practical engineering example is given to illustrate the validity of the results obtained in this paper.
文章引用：陈慧珍, 张海洋, 熊良林, 赵姗姗. DoS攻击下Markov跳变系统的镇定性研究：DETM[J]. 应用数学进展, 2023, 12(10): 4316-4329. https://doi.org/10.12677/AAM.2023.1210425

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