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

作　　者：陈慧珍 张海洋[1,2] 熊良林 赵姗姗 

机构地区：[1]云南民族大学,数学与计算机科学学院,云南 昆明 [2]昆明理工大学,机电工程学院,云南 昆明 [3]云南开放大学,传媒与信息工程学院,云南 昆明

出　　处：《应用数学进展》2023年第10期4316-4329,共14页Advances in Applied Mathematics

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。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.

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 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]