| 传输时延环境下信息物理融合系统中恶意病毒传播的稳定性与分岔分析 |
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| 引用本文： | 王璐,肖敏,周帅,张跃中.传输时延环境下信息物理融合系统中恶意病毒传播的稳定性与分岔分析[J].控制理论与应用,2021,38(1):81-89. |
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| 作者姓名： | 王璐 肖敏 周帅 张跃中 |
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| 作者单位： | 南京邮电大学自动化学院,江苏南京210023;南京邮电大学自动化学院,江苏南京210023;南京邮电大学自动化学院,江苏南京210023;南京邮电大学自动化学院,江苏南京210023 |
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| 基金项目： | 国家自然科学基金项目(61573194, 62073172), 江苏省自然科学基金项目(BK20181389), 江苏省研究生科研与实践创新计划项目(SJCX19 0263). |
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| 摘 要： | 本文考虑到恶意病毒在信息物理融合系统中的传播具有时延性,基于非线性动力学理论建立了一类更具一般性的含有时滞的恶意病毒传播模型.通过选取时滞作为分岔参数,并讨论相关的特征方程,研究了时滞对系统局部稳定性和Hopf分岔的影响.研究发现,系统的动力学行为依赖于分岔的临界值.此外,给出了保证系统稳定性和产生Hopf分岔的条件....
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| 关 键 词： | 信息物理融合系统 时滞 恶意病毒 稳定性 Hopf分岔 |
| 收稿时间： | 2020/5/25 0:00:00 |
| 修稿时间： | 2020/8/22 0:00:00 |
Stability and bifurcation analysis of malicious virus spreading in cyber physical systems under transmission delays |
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| WANG Lu,XIAO Min,ZHOU Shuai and ZHANG Yue-zhong.Stability and bifurcation analysis of malicious virus spreading in cyber physical systems under transmission delays[J].Control Theory & Applications,2021,38(1):81-89. |
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| Authors: | WANG Lu XIAO Min ZHOU Shuai and ZHANG Yue-zhong |
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| Affiliation: | Nanjing University of Posts and Telecommunications,Nanjing University of Posts and Telecommunications,Nanjing University of Posts and Telecommunications,Nanjing University of Posts and Telecommunications |
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| Abstract: | In this paper, considering the spreading delays of malicious virus in cyber physical systems (CPS), a general
spreading model of malicious virus with time delays is established based on nonlinear dynamics theory. The influence
of time delays on the local stability and Hopf bifurcation of the system is studied by regarding the time delays as the
bifurcation parameter and discussing the associated characteristic equations. It is found that the dynamic behaviors of
the system depend on the critical value of bifurcation. In addition, the conditions that ensure the stability of the system
and the criteria of Hopf bifurcation are given. Finally, the correctness of the theoretical analysis is verified by numerical
simulations. |
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| Keywords: | cyber physical systems time delays malicious virus stability Hopf bifurcation |
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