LU Junying,LIU Tingting,AN Xialing.Finite-time stability and l 1 filtering of discrete switched positive systems with time-varying delay[J].Journal of Yanbian University,2024,(01):31-39，54.
离散切换正时变时滞系统的有限时间稳定与l1滤波
- Title:
-
Finite-time stability and l
1 filtering of discrete switched positive systems with time-varying delay
- 文章编号:
- 1004-4353（2024）01-0031-08
- 关键词:
- 离散切换正时变时滞系统; 模依赖平均驻留时间; 有限时间稳定; l1滤波
- Keywords:
- discrete switching positive time-varying delayed system; mode dependent average dwell time; finite-time stability; l1 filtering
- 分类号:
- O231.1
- 文献标志码:
- A
- 摘要:
- 讨论了一类离散切换正时变时滞系统的有限时间稳定性及其l1滤波问题.首先，通过构造一类合适的李亚普诺夫函数，建立了模型依赖平均驻留时间(MDADT)下的离散切换正时变时滞系统的有限时间稳定性的判定条件；然后，基于所得结论设计了一个滤波器，并给出了滤波误差系统是有限时间稳定的且具有l1滤波的充分条件；最后，利用两个算例验证了所得结论的有效性.
- Abstract:
- The finite time stability and l1 filtering problem of discrete switching positive time-varying delayed systems are discussed. First，by constructing a class of Lyapunov function，some criteria for the finite-time stability of discrete switching positive systems wih time-varying delay are established under mode dependent average dwell time (MDADT)；Then，a filter is designed based on the obtained conclusions，and sufficient conditions is estiblished that the filtering error system is finite time stable and exhibit an l1filtering；Finally，two numerical examples are proved the validity of the obtained conclusions.
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备注/Memo
投稿日期：2023-10-08
基金项目：陕西省科技厅自然科学基础研究计划项目(2021JQ-657)第一作者：路俊影(1994— )，女，硕士研究生，研究方向为控制理论.
通信作者：刘婷婷(1987— )，女，博士，讲师，研究方向为控制理论.