On the Watermark-Securable Subspace of a Linear Stochastic System

Bharadwaj Satchidanandan, P. Kumar
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引用次数: 2

Abstract

We consider a multiple-input, multiple-output perfectly observed linear dynamical system with an arbitrary set of malicious sensors and actuators. The honest actuators watermark their control inputs and perform certain tests to detect the presence of malicious sensors. The state space of such a system can be decomposed into two orthogonal subspaces, called the watermark-securable and the watermark-unsecurable subspaces, such that no matter what attack strategy the malicious sensors and actuators employ, they cannot degrade the state estimation performance of the honest sensors and actuators along the watermark-securable subspace if they wish to remain undetected. This paper characterizes a certain subset of the watermark-securable subspace.
线性随机系统的水印安全子空间
我们考虑一个多输入、多输出的完美观察线性动力系统,该系统具有任意一组恶意传感器和执行器。诚实的执行器对其控制输入加水印,并执行某些测试以检测恶意传感器的存在。该系统的状态空间可以分解为两个正交的子空间,即水印安全子空间和水印不安全子空间,这样,无论恶意传感器和执行器采用何种攻击策略,如果它们希望保持不被检测到,它们都不会降低沿水印安全子空间的诚实传感器和执行器的状态估计性能。本文刻画了水印安全子空间的一个子集。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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