Cyber-attacks on the optimal velocity and its variation by bifurcation analyses

In this paper, we proposed a car-following model considering the attack on the optimal velocity and its variation. To study the dynamical behaviors of the car-following model, the stability condition of the system is obtained via the linear stability analyses. Bifurcation analyses confirmed the exis...

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Bibliographic Details
Published inThe European physical journal. B, Condensed matter physics Vol. 96; no. 12
Main Authors Zhang, Kun, Xue, Yu, Luo, Hao-Jie, Zhang, Qiang, Tang, Yuan, Cen, Bing-Ling
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2023
Springer Nature B.V
Subjects
Car following
Complex Systems
Condensed Matter Physics
Control systems design
Cybersecurity
Dynamic stability
Eigenvalues
Eigenvectors
Fluid- and Aerodynamics
Hopf bifurcation
Mathematical models
Optimization
Parameters
Physics
Physics and Astronomy
Regular Article - Statistical and Nonlinear Physics
Solid State Physics
Stability analysis
Traffic congestion
Velocity
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Summary:In this paper, we proposed a car-following model considering the attack on the optimal velocity and its variation. To study the dynamical behaviors of the car-following model, the stability condition of the system is obtained via the linear stability analyses. Bifurcation analyses confirmed the existence of Hopf bifurcation of traffic system. We make use of the instability of the system after Hopf bifurcation to develop the network attack strategy. The main method is to use the definite integral stability (DIS) method to find the attack parameter of the minimum number of unstable eigenvalues in the characteristic equation under the condition of network attack, so as to promote the instability of the traffic system and realize the network attack on the traffic system. By determining the minimum stable delay interval of the system, the network attack controller can be designed. The effectiveness of the network attack on the optimization velocity and the variation of the optimization velocity are verified by numerical simulation. The results show that the network attack with such minimal attack parameter cost will cause the traffic system to become unstable and lead to traffic congestion. Graphical Abstract
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/s10051-023-00641-9