一类具有饱和发生率的时滞恶意病毒传播模型的分岔控制策略
CSTR:
作者:
作者单位:

1. 南京邮电大学 自动化学院、人工智能学院,南京 210023;2. 南京邮电大学 理学院,南京 210023

作者简介:

通讯作者:

E-mail: candymanxm2003@aliyun.com.

中图分类号:

O175.13;N941;O231.2

基金项目:

国家自然科学基金项目(62073172,61573194);江苏省自然科学基金项目(BK20181389,BK20181387).


Bifurcation control strategy of malicious virus spreading model with time delays and saturated incidence rate
Author:
Affiliation:

1. College of Automation and College of Artificial Intelligence,Nanjing University of Posts and Telecommunications,Nanjing 210023,China;2. College of Science,Nanjing University of Posts and Telecommunications,Nanjing 210023,China

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:

    考虑非线性的饱和发生率,建立一种刻画信息物理融合系统(cyber-physical systems,CPS)中恶意病毒传播的SIRS(susceptible-infected-recovered-susceptible)模型.为了避免因Hopf分岔的产生致使恶意病毒传播扩散,采用参数调节法和状态反馈法相结合的混合分岔控制策略,研究信息物理融合系统的Hopf分岔控制问题,建立受控系统的稳定性条件和分岔判据,探明控制增益参数对Hopf分岔点和分岔极限环幅值的影响规律,并给出分岔阈值与增益参数间的关系图.数值仿真结果表明,所提出的混合分岔控制策略不仅能够改变Hopf分岔点的位置,而且可以有效调节极限环幅值的大小,使得信息物理融合系统产生预期的动力学行为,有效降低恶意病毒传播的危害.

    Abstract:

    In this paper, the nonlinear saturated incidence rate is considered to establish one type of the susceptible-infected-recovered-susceptible(SIRS) model characterizing the spread of malicious virus in cyber-physical systems (CPS). To avoid the spread of malicious virus due to the occurrence of the Hopf bifurcation, a hybrid bifurcation controller combining the parameter adjustment method and state feedback method is designed to research the Hopf bifurcation control of the cyber-physical systems, and establish the stability conditions and bifurcation criteria of the controlled system. The influence of the control gain parameter on the Hopf bifurcation point and the amplitude of bifurcation limit cycle is explored, and the relationship between the bifurcation threshold and the gain parameter is given. The numerical simulation results show that the hybrid bifurcation control strategy proposed can not only chance the position of the Hopf bifurcation point, but also greatly adjust the amplitude of the limit cycle, which makes CPS generate the the expected dynamic behaviors to effectively reduce the impact of the malicious virus spreading.

    参考文献
    相似文献
    引证文献
引用本文

陈实,肖敏,陈功,等.一类具有饱和发生率的时滞恶意病毒传播模型的分岔控制策略[J].控制与决策,2022,37(7):1903-1908

复制
相关视频

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:
  • 最后修改日期:
  • 录用日期:
  • 在线发布日期: 2022-05-25
  • 出版日期: 2022-07-20
文章二维码