一类新型计算机病毒最优控制模型
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

基金项目:

基于人工智能的三维油藏数据处理研究(07XSYK224)


Anoptimal control model for a new type of computer virus
Author:
Affiliation:

Fund Project:

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 资源附件
  • |
  • 文章评论
    摘要:

    计算机病毒的存在,使得很多计算机无法正常运行,并造成巨大的损失.针对这种情况,提出一类新型计算机病毒的最优控制.控制首先对原有的计算机病毒模型进行改进,加入控制项,提出最优控制问题,并证明最优控制的存在性,然后利用庞德里亚金的极小值原理进行理论分析,最后进行数值模拟.数值模拟结果表明,在没有控制的条件下,原模型得出基本再生数大于1, 说明存在地方病平衡点,并且最终会导致病毒爆发,而数值模拟揭示,运用有效的控制策略能够更好地抑制计算机病毒的传播.

    Abstract:

    Due to the existence of computer virus, large numbers of computers cannot run normally. It usually results in huge loss. To this end, an control model for a new type of computer virus based on a general computer virus model is proposed in this paper. Firstly, a new type of computer virus model is improved, and the control is taken into account. The optimal control problem is then proposed. Meanwhile, the existence of optimal control is proved. Pontryagin’s minimal principal is employed to analyze the optimal control. Finally, the theory analysis is also supplemented as a comparison work. The simulating results shows that under the condition without control, the basic reproductive number is obtained from the original model, and it is bigger than 1. Moreover, above conclusion indicates that there exists the endemic equilibrium, and it leads to the outbreak of the computer virus finally. The numerical modeling shows that through the optimal control strategy, the spread of computer virus can be prevented effectively.

    参考文献
    相似文献
    引证文献
引用本文

赵夫群.一类新型计算机病毒最优控制模型[J].动力学与控制学报,2016,14(3):253~257; Zhao Fuqun. Anoptimal control model for a new type of computer virus[J]. Journal of Dynamics and Control,2016,14(3):253-257.

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:2014-07-29
  • 最后修改日期:2015-05-19
  • 录用日期:
  • 在线发布日期: 2016-05-26
  • 出版日期:

微信公众号二维码

手机版网站二维码