AN Xialing,LIU Tingting,LU Junying.Stability and stabilization for switched positive time - delay systems under an admissible edge - dependent average dwell time method[J].Journal of Yanbian University,2023,(03):203-208,222.
切换正时滞系统在可容许边依赖平均驻留时间下的稳定性和镇定性
- Title:
- Stability and stabilization for switched positive time - delay systems under an admissible edge - dependent average dwell time method
- 文章编号:
- 1004-4353(2023)03-0203-07
- 关键词:
- 切换正时滞系统; 李雅普诺夫泛函; 可容许边依赖平均驻留时间; 有限时间稳定性; 镇定性
- Keywords:
- switched positive delayed systems; Lyapunov functional; admissible edge - dependent average dwell time; finite - time stability; stabilization
- 分类号:
- O231.1
- 文献标志码:
- A
- 摘要:
- 讨论了一类切换正时滞系统的稳定性和镇定性.首先,通过构造多元共正李雅普诺夫泛函,得到了切换正时滞系统在可容许边依赖平均驻留时间(AED - ADT)切换信号下的有限时间稳定的充分条件; 其次,设计了一类状态反馈控制器,并给出了闭环系统在AED - ADT切换信号下具有有限时间稳定的判据.最后,利用两个算例验证了所得结果的正确性.
- Abstract:
- The stability and stabilization of the switched positive systems with delays were discussed.Firstly, by constructing the multiple copositive Lyapunov functional, a sufficient condition for finite - time stability of switched positive systems with delays under admissible edge - dependent average dwell time(AED - ADT)switching signals was obtained.Secondly, a family of state feedback controllers are designed, and the finite time stability criterion of the closed loop system under AED - ADT was given.Finally, two numerical examples were used to verify the validity of the developed results.
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备注/Memo
收稿日期: 2023-05-18
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: 安夏伶(1997—),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.