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arXiv 2604.03461eess.SYcs.SY
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如何在李群上转移传感器攻击

How Sensor Attacks Transfer Across Lie Groups

Massachusetts Institute of Technology(麻省理工学院)

Rijad Alisic, Saurabh Amin

AI总结:

本文研究了在李群上传感器攻击的转移问题,提出几何框架分析攻击在不同操作条件下保持物理影响和隐蔽性的条件,并证明攻击转移需要与名义动态相容。

摘要:

在机电系统中,传感器欺骗分析主要局限于线性状态空间,其中攻击转移性是显而易见的。然而,在李群上,动力学的非交换性会扭曲某些传感器攻击,在复杂机动中暴露原本隐蔽的攻击。本文提出一个几何框架,用于表征传感器攻击在不同操作条件下转移时保持其物理影响和隐蔽性的条件。证明了成功的转移要求攻击与名义动态相容(一个李括号条件),这将可转移的攻击限制在一个不变子空间内,而子空间外的攻击会明显改变残差。对于小范围偏离理想可转移攻击的情况,我们的分解定理揭示了基本的不对称性:流的Adjoint作用放大了违反括号的组件的物理影响。此外,尽管攻击线性地扰动创新,累积的误差漂移通过Adjoint作用经历扭曲。最后,我们展示了在Dubins Unicycle上的转向机动如何将可转移子空间坍缩到单一方向,验证了不完美的攻击仍处于理论检测范围内。

英文摘要:

Sensor spoofing analysis in cyber-physical systems is predominantly confined to linear state spaces, where an attack's persistence implies the existence of an integrator somewhere in the loop. We extend this insight to a commutativity condition on Lie groups, where noncommutative dynamics can distort sensor attacks, exposing nominally stealthy attacks by complex maneuvers. We present a geometric framework characterizing when a sensor attack can transfer across operating conditions, preserving both its physical impact and stealthiness. We prove that successful transfer requires the attack to commute with the flow (a Lie bracket condition), isolating transferable attacks to an invariant subspace. For small deviations from transferable attacks, our decomposition theorem reveals a fundamental asymmetry: the flow's Adjoint action distorts the physical impact of the bracket-violating component. Furthermore, even if the attack's impact isn't distorted, the subsequent residual could be. Finally, we demonstrate how turning maneuvers on a Dubins unicycle collapse the transferable subspace to a single direction, verifying that imperfect attacks remain within theoretical detection bounds.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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