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arXiv · 2505.01233

Security Metrics for Uncertain Interconnected Systems under Stealthy Data Injection Attacks

Anh Tung Nguyen·Sribalaji C. Anand·André M. H. Teixeira
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Abstract

This paper quantifies the security of uncertain interconnected systems under stealthy data injection attacks. In particular, we consider a large-scale system composed of a certain subsystem interconnected with an uncertain subsystem, where only the input-output channels are accessible. An adversary is assumed to inject false data to maximize the performance loss of the certain subsystem while remaining undetected. By abstracting the uncertain subsystem as a class of admissible systems satisfying an $\mathcal{L}_2$ gain constraint, the worst-case performance loss is obtained as the solution to a convex semi-definite program depending only on the certain subsystem dynamics and such an $\mathcal{L}_2$ gain constraint. This solution is proved to serve as an upper bound for the actual worst-case performance loss when the model of the entire system is fully certain. The results are demonstrated through numerical simulations of the power transmission grid spanning Sweden and Northern Denmark.

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Anh Tung Nguyen, Sribalaji C. Anand, André M. H. Teixeira. 2025-05-02. Security Metrics for Uncertain Interconnected Systems under Stealthy Data Injection Attacks. https://doi.org/10.1016/j.ifacol.2025.07.063

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