Fundamental Stealthiness-Distortion Tradeoffs in Dynamical Systems under Injection Attacks: A Power Spectral Analysis
Systems and Control
2021-05-12 v2 Cryptography and Security
Information Theory
Systems and Control
Signal Processing
math.IT
Optimization and Control
Abstract
In this paper, we analyze the fundamental stealthiness-distortion tradeoffs of linear Gaussian dynamical systems under data injection attacks using a power spectral analysis, whereas the Kullback-Leibler (KL) divergence is employed as the stealthiness measure. Particularly, we obtain explicit formulas in terms of power spectra that characterize analytically the stealthiness-distortion tradeoffs as well as the properties of the worst-case attacks. Furthermore, it is seen in general that the attacker only needs to know the input-output behaviors of the systems in order to carry out the worst-case attacks.
Keywords
Cite
@article{arxiv.2012.02009,
title = {Fundamental Stealthiness-Distortion Tradeoffs in Dynamical Systems under Injection Attacks: A Power Spectral Analysis},
author = {Song Fang and Quanyan Zhu},
journal= {arXiv preprint arXiv:2012.02009},
year = {2021}
}