In this paper, we study the impact of stealthy attacks on the Cyber-Physical System (CPS) modeled as a stochastic linear system. An attack is characterised by a malicious injection into the system through input, output or both, and it is called stealthy (resp.~strictly stealthy) if it produces bounded changes (resp.~no changes) in the detection residue. Correspondingly, a CPS is called vulnerable (resp.~strictly vulnerable) if it can be destabilized by a stealthy attack (resp.~strictly stealthy attack). We provide necessary and sufficient conditions for the vulnerability and strictly vulnerability. For the invulnerable case, we also provide a performance bound for the difference between healthy and attacked system. Numerical examples are provided to illustrate the theoretical results.
@article{arxiv.2002.01557,
title = {The Vulnerability of Cyber-Physical System under Stealthy Attacks},
author = {Tianju Sui and Yilin Mo and Damián Marelli and Ximing Sun and Minyue Fu},
journal= {arXiv preprint arXiv:2002.01557},
year = {2020}
}