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