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.最后,通过数值仿真验证了理论分析的正确性.
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.
作者
王璐
肖敏
周帅
张跃中
WANG Lu;XIAO Min;ZHOU Shuai;ZHANG Yue-zhong(School of Automation,Nanjing University of Posts and Telecommunications,Nanjing Jiangsu 210023,China)
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2021年第1期81-89,共9页
Control Theory & Applications
基金
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(SJCX190263)资助。
