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G-Brown运动驱动的非线性随机时滞微分方程的稳定化

李光洁 杨启贵

李光洁, 杨启贵. G-Brown运动驱动的非线性随机时滞微分方程的稳定化[J]. 应用数学和力学, 2021, 42(8): 841-851. doi: 10.21656/1000-0887.410332
引用本文: 李光洁, 杨启贵. G-Brown运动驱动的非线性随机时滞微分方程的稳定化[J]. 应用数学和力学, 2021, 42(8): 841-851. doi: 10.21656/1000-0887.410332
LI Guangjie, YANG Qigui. Stabilization of Nonlinear Stochastic Delay Differential Equations Driven by G-Brownian Motion[J]. Applied Mathematics and Mechanics, 2021, 42(8): 841-851. doi: 10.21656/1000-0887.410332
Citation: LI Guangjie, YANG Qigui. Stabilization of Nonlinear Stochastic Delay Differential Equations Driven by G-Brownian Motion[J]. Applied Mathematics and Mechanics, 2021, 42(8): 841-851. doi: 10.21656/1000-0887.410332

G-Brown运动驱动的非线性随机时滞微分方程的稳定化

doi: 10.21656/1000-0887.410332
基金项目: 

12071151)

国家自然科学基金(11901398

详细信息
    作者简介:

    李光洁(1990—),女,博士(E-mail: scutliguangjie@163.com);杨启贵(1965—),男,教授,博士,博士生导师(通讯作者. E-mail: qgyang@scut.edu.cn).

    通讯作者:

    杨启贵(1965—),男,教授,博士,博士生导师(通讯作者. E-mail: qgyang@scut.edu.cn).

  • 中图分类号: O211.63

Stabilization of Nonlinear Stochastic Delay Differential Equations Driven by G-Brownian Motion

Funds: 

12071151)

The National Natural Science Foundation of China(11901398

  • 摘要: 研究了一类G-Brown运动驱动的非线性随机时滞微分方程的稳定化问题.首先,在一个不稳定的G-Brown运动驱动的非线性随机时滞微分方程的漂移项中设计了时滞反馈控制, 得其相应的控制系统.其次, 利用Lyapunov函数方法给出其相应的控制系统是渐近稳定的充分条件.最后, 通过例子说明了所得的结果.
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出版历程
  • 收稿日期:  2020-10-27
  • 修回日期:  2021-02-03
  • 网络出版日期:  2021-08-14

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