论文标题

在注射攻击下动态系统中的基本隐形统计权力折衷:功率谱分析

Fundamental Stealthiness-Distortion Tradeoffs in Dynamical Systems under Injection Attacks: A Power Spectral Analysis

论文作者

Fang, Song, Zhu, Quanyan

论文摘要

在本文中,我们分析了使用功率谱分析在数据注射攻击下进行线性高斯动力学系统的基本隐形差异权,而Kullback-Leibler(KL)差异是用作隐秘度量的。特别是,我们从功率光谱方面获得了明确的公式,这些公式从分析性地进行了隐形差异以及最坏情况攻击的特性。此外,总的来说,攻击者只需要了解系统的投入输出行为即可进行最坏的案例攻击。

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.

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