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Self-stabilization control on traffic flow of connected and automated vehicles under cyberattacks

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Abstract

As traffic systems are becoming increasingly interconnected and automated, it is crucial to protect important systems from cyberattacks nowadays. In this study, we propose the Self-Stabilizing Cyberattack (SS-CA) model to investigate the connection between self-stabilizing control and the impact of cyberattacks on traffic flow dynamics in the context of connected vehicles. The linear stability analysis examines the stability criteria for the SS-CA model. Nonlinear analysis uses reductive perturbation methods to derive soliton solutions, providing descriptions of traffic density wave propagation. From the findings, it is evident that, as a cyberattack’s intensity increases, traffic stability decreases while increasing the self-stabilization control parameter enhances traffic stability. Furthermore, the effect of self-stabilizing control over headway is found effective in avoiding the negative impact of cyberattacks, which decreases traffic flow stability. The study validates theoretical insights through numerical simulations demonstrating the significance of self-stabilizing behavior in mitigating traffic disruptions caused by cyberattacks.

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Data Availability Statement

This is a theoretical study, hence there are no experimental data offered.

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Acknowledgements

The first author(Sunita Yadav) would like to show appreciation to the “Council of Scientific and Industrial Research (CSIR)” in New Delhi, India for their funding support through file number 09/382(0245)/2019-EMR-I.

Funding

Funding was provided by Human Resource Development Group.

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Authors and Affiliations

  1. Department of Mathematics, Maharshi Dayanand University, Rohtak, Haryana, 124001, India

    Sunita Yadav & Poonam Redhu

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  1. Sunita Yadav
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  2. Poonam Redhu
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Contributions

PR supervised the work while SY provided the concept and worked on the simulation, analysis, and idea implementation. Both SY and PR 4contributed to the writing of the manuscript.

Corresponding author

Correspondence to Poonam Redhu.

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Yadav, S., Redhu, P. Self-stabilization control on traffic flow of connected and automated vehicles under cyberattacks. Eur. Phys. J. Plus 138, 1160 (2023). https://doi.org/10.1140/epjp/s13360-023-04791-8

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