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.

中文翻译：

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隐身攻击下网络物理系统的脆弱性

在本文中，我们研究了隐身攻击对建模为随机线性系统的网络物理系统 (CPS) 的影响。攻击的特点是通过输入、输出或两者对系统进行恶意注入，如果它在检测残留中产生有界变化（或无变化），则称为隐蔽（resp.~strictly secrethy）。相应地，如果 CPS 可以被隐身攻击（resp.~strictly secretly attack）破坏稳定，则它被称为易受攻击（resp.~strictlyvulnerable）。我们为漏洞和严格漏洞提供了充分必要条件。对于无懈可击的情况，我们还为健康系统和受攻击系统之间的差异提供了性能界限。提供了数值例子来说明理论结果。