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分数阶线性时滞微分系统的有限时间稳定性

田洪乔 张志信 蒋威

田洪乔, 张志信, 蒋威. 分数阶线性时滞微分系统的有限时间稳定性[J]. 应用数学和力学, 2020, 41(8): 921-930. doi: 10.21656/1000-0887.400365
引用本文: 田洪乔, 张志信, 蒋威. 分数阶线性时滞微分系统的有限时间稳定性[J]. 应用数学和力学, 2020, 41(8): 921-930. doi: 10.21656/1000-0887.400365
TIAN Hongqiao, ZHANG Zhixin, JIANG Wei. Finite-Time Stability of Fractional-Oder Linear Differential Systems With Delays[J]. Applied Mathematics and Mechanics, 2020, 41(8): 921-930. doi: 10.21656/1000-0887.400365
Citation: TIAN Hongqiao, ZHANG Zhixin, JIANG Wei. Finite-Time Stability of Fractional-Oder Linear Differential Systems With Delays[J]. Applied Mathematics and Mechanics, 2020, 41(8): 921-930. doi: 10.21656/1000-0887.400365

分数阶线性时滞微分系统的有限时间稳定性

doi: 10.21656/1000-0887.400365
基金项目: 国家自然科学基金(11471015;61272530;11371027);安徽省自然科学基金(1608085MA12;2008085QA19)
详细信息
    作者简介:

    田洪乔(1995—),女,硕士生(E-mail: 784043860@qq.com);张志信(1976—),男,副教授,硕士生导师(通讯作者. E-mail: zhang_zhi_x@sina.com);蒋威(1959—),男,教授,博士生导师(E-mail: jiangwei@ahu.edu.cn).

  • 中图分类号: O175.15

Finite-Time Stability of Fractional-Oder Linear Differential Systems With Delays

Funds: The National Natural Science Foundation of China(11471015;61272530;11371027)
  • 摘要: 该文研究了含有时滞的分数阶微分系统的有限时间稳定性问题.首先通过构造新的Lyapunov函数, 利用线性矩阵不等式给出线性分数阶时滞微分系统的有限时间稳定性条件.其次,在状态反馈控制器的作用下,给出分数阶时滞微分闭环系统的有限时间稳定条件,同时给出了控制器的设计方法.最后,通过两个例子来说明所得理论结果的有效性.
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出版历程
  • 收稿日期:  2019-12-03
  • 修回日期:  2020-06-20
  • 刊出日期:  2020-08-01

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