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具概率延迟反馈金融系统的脉冲控制

阿子阿英 饶若峰 赵锋 黄鸿燕 王雪 刘浩

阿子阿英, 饶若峰, 赵锋, 黄鸿燕, 王雪, 刘浩. 具概率延迟反馈金融系统的脉冲控制[J]. 应用数学和力学, 2019, 40(12): 1409-1416. doi: 10.21656/1000-0887.400059
引用本文: 阿子阿英, 饶若峰, 赵锋, 黄鸿燕, 王雪, 刘浩. 具概率延迟反馈金融系统的脉冲控制[J]. 应用数学和力学, 2019, 40(12): 1409-1416. doi: 10.21656/1000-0887.400059
AZI Aying, RAO Ruofeng, ZHAO Feng, HUANG Hongyan, WANG Xue, LIU Hao. Impulse Control of Financial Systems With Probabilistic Delay Feedback[J]. Applied Mathematics and Mechanics, 2019, 40(12): 1409-1416. doi: 10.21656/1000-0887.400059
Citation: AZI Aying, RAO Ruofeng, ZHAO Feng, HUANG Hongyan, WANG Xue, LIU Hao. Impulse Control of Financial Systems With Probabilistic Delay Feedback[J]. Applied Mathematics and Mechanics, 2019, 40(12): 1409-1416. doi: 10.21656/1000-0887.400059

具概率延迟反馈金融系统的脉冲控制

doi: 10.21656/1000-0887.400059
详细信息
    作者简介:

    阿子阿英(1997—),女,彝族(E-mail: ruopheng@hotmail.com);饶若峰(1969—),男,教授(通讯作者. E-mail: ruofengrao@163.com);赵锋(1995—),男(E-mail: rrf2@163.com);黄鸿燕(1997—),女(E-mail: rrf2003@163.com);王雪(1998—),女(E-mail: 2637214132@qq.com);刘浩(1996—),男(E-mail: 1278891455@qq.com).

  • 中图分类号: O175.13

Impulse Control of Financial Systems With Probabilistic Delay Feedback

  • 摘要: 研究了概率时滞脉冲金融系统平衡点的全局渐近稳定性问题。首先,通过定义合适的时滞分段区间上的随机变量,给出了概率时滞的脉冲金融系统的数学模型,根据脉冲微分不等式特点构造了一个简便合适的Lyapunov函数利用脉冲微分不等式引理、控制脉冲间隔与脉冲量以及概率时滞分析技巧,获得了较大时滞允许范畴下的平衡点的全局指数稳定,并通过数值实例验证了方法的可行性以及概率时滞的优势。特别地,稳定性判定准则的时滞允许上限的增大,扩大了准则的实用性.
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出版历程
  • 收稿日期:  2019-02-25
  • 修回日期:  2019-02-28
  • 刊出日期:  2019-12-01

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